# Publications

**2021**

Zhou, Hao and Bhattacharya, Kaushik (2021) *Accelerated computational micromechanics and its application to polydomain liquid crystal elastomers.* Journal of the Mechanics and Physics of Solids, 153 . Art. No. 104470. ISSN 0022-5096. doi:10.1016/j.jmps.2021.104470. https://resolver.caltech.edu/CaltechAUTHORS:20210514-140222487

Liu, Burigede and Sun, Xingsheng and Bhattacharya, Kaushik et al. (2021) *Hierarchical multiscale quantification of material uncertainty.* Journal of the Mechanics and Physics of Solids, 153 . Art. No. 104492. ISSN 0022-5096. doi:10.1016/j.jmps.2021.104492. https://resolver.caltech.edu/CaltechAUTHORS:20210225-132735184

Injeti, Sai Sharan and Celli, Paolo and Bhattacharya, Kaushik et al. (2021) *Tuning acoustic impedance in load-bearing structures.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210716-222546164

Tokumoto, Haruki and Zhou, Hao and Takebe, Asaka et al. (2021) *Probing the in-plane liquid-like behavior of liquid crystal elastomers.* Science Advances, 7 (25). Art. No. eabe9495. ISSN 2375-2548. PMCID PMC8213220. doi:10.1126/sciadv.abe9495. https://resolver.caltech.edu/CaltechAUTHORS:20210621-195349634

Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar et al. (2021) *Markov Neural Operators for Learning Chaotic Systems.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210719-210135878

Sun, Xingsheng and Liu, Burigede and Bhattacharya, Kaushik et al. (2021) *Concurrent goal-oriented materials-by-design.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210713-212259269

Teh, Ying Shi and Ghosh, Swarnava and Bhattacharya, Kaushik (2021) *Machine-learned prediction of the electronic fields in a crystal.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210412-100652607

Teh, Ying Shi and Li, Jiangyu and Bhattacharya, Kaushik (2021) *Understanding the morphotropic phase boundary of perovskite solid solutions as a frustrated state.* Physical Review B, 103 (14). Art. No. 144201. ISSN 2469-9950. doi:10.1103/PhysRevB.103.144201. https://resolver.caltech.edu/CaltechAUTHORS:20201111-074328723

Yang, J. and Bhattacharya, K. (2021) *Fast Adaptive Mesh Augmented Lagrangian Digital Image Correlation.* Experimental Mechanics, 61 (4). pp. 719-735. ISSN 0014-4851. doi:10.1007/s11340-021-00695-9. https://resolver.caltech.edu/CaltechAUTHORS:20210518-120552786

Lee, Victoria and Bhattacharya, Kaushik (2021) *Actuation of cylindrical nematic elastomer balloons.* Journal of Applied Physics, 129 (11). Art. No. 114701. ISSN 0021-8979. doi:10.1063/5.0041288. https://resolver.caltech.edu/CaltechAUTHORS:20210119-161700259

Bai, Ruobing and Ocegueda, Eric and Bhattacharya, Kaushik (2021) *Photochemical-induced phase transitions in photoactive semicrystalline polymers.* Physical Review E, 103 (3). Art. No. 033003. ISSN 2470-0045. doi:10.1103/PhysRevE.103.033003. https://resolver.caltech.edu/CaltechAUTHORS:20210106-131335150

Liu, Burigede and Kovachki, Nikola and Li, Zongyi et al. (2021) *A learning-based multiscale method and its application to inelastic impact problems.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20210225-132721680

Bai, Ruobing and Teh, Ying Shi and Bhattacharya, Kaushik (2021) *Collective behavior in the kinetics and equilibrium of solid-state photoreaction.* Extreme Mechanics Letters, 43 . Art. No. 101160. ISSN 2352-4316. https://resolver.caltech.edu/CaltechAUTHORS:20201111-073222508

Brodnik, N. R. and Brach, S. and Long, C. M. et al. (2021) *Fracture Diodes: Directional Asymmetry of Fracture Toughness.* Physical Review Letters, 126 (2). Art. No. 025503. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20210114-143037831

**2020**

Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar et al. (2020) *Multipole Graph Neural Operator for Parametric Partial Differential Equations.* In: Advances in Neural Information Processing Systems 33 pre-proceedings (NeurIPS 2020). Advances in Neural Information Processing Systems . https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366

Bai, Ruobing and Bhattacharya, Kaushik (2020) *Photomechanical coupling in photoactive nematic elastomers.* Journal of the Mechanics and Physics of Solids, 144 . Art. No. 104115. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20200323-074401386

Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar et al. (2020) *Fourier Neural Operator for Parametric Partial Differential Equations.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20201106-120140981

Zhou, Hao and Bhattacharya, Kaushik (2020) *Accelerated computational micromechanics.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20201110-073310991

Ghosh, Swarnava and Bhattacharya, Kaushik (2020) *Influence of thermomechanical loads on the energetics of precipitation in magnesium aluminum alloys.* Acta Materialia, 193 . pp. 28-39. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20200224-124229768

Courte, Luca and Bhattacharya, Kaushik and Dondl, Patrick (2020) *Bounds on precipitate hardening of line and surface defects in solids.* Zeitschrift für Angewandte Mathematik und Mechanik, 71 (3). Art. No. 99. ISSN 0044-2275. https://resolver.caltech.edu/CaltechAUTHORS:20200702-080619417

Bhattacharya, Kaushik and Hosseini, Bamdad and Kovachki, Nikola B. et al. (2020) *Model Reduction and Neural Networks for Parametric PDEs.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200527-074228185

Korner, Kevin and Kuenstler, Alexa S. and Hayward, Ryan C. et al. (2020) *A nonlinear beam model of photomotile structures.* Proceedings of the National Academy of Sciences of the United States of America, 117 (18). pp. 9762-9770. ISSN 0027-8424. PMCID PMC7211941. https://resolver.caltech.edu/CaltechAUTHORS:20200417-123145473

Ponga, Mauricio and Bhattacharya, Kaushik and Ortiz, Michael (2020) *Large scale ab-initio simulations of dislocations.* Journal of Computational Physics, 407 . Art. No. 109249. ISSN 0021-9991. https://resolver.caltech.edu/CaltechAUTHORS:20200110-142048574

Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar et al. (2020) *Neural Operator: Graph Kernel Network for Partial Differential Equations.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200402-133318521

Brodnik, Neal R. and Hsueh, Chun-Jen and Faber, Katherine T. et al. (2020) *Guiding and Trapping Cracks With Compliant Inclusions for Enhancing Toughness of Brittle Composite Materials.* Journal of Applied Mechanics, 87 (3). Art. No. 031018. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20200430-104816477

**2019**

Injeti, Sai Sharan and Daraio, Chiara and Bhattacharya, Kaushik (2019) *Metamaterials with engineered failure load and stiffness.* Proceedings of the National Academy of Sciences of the United States of America, 116 (48). pp. 23960-23965. ISSN 0027-8424. PMCID PMC6883817. https://resolver.caltech.edu/CaltechAUTHORS:20191111-154114590

Brach, S. and Hossain, M. Z. and Bourdin, B. et al. (2019) *Anisotropy of the effective toughness of layered media.* Journal of the Mechanics and Physics of Solids, 131 . pp. 96-111. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20190709-085719234

Korner, Kevin and Audoly, Basile and Bhattacharya, Kaushik (2019) *Photo-Motile Structures.* . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20191111-090332268

Johnson, M. T. and Brodnik, N. R. and Ekeh, T. et al. (2019) *Obreimoff revisited: controlled heterogeneous fracture through the splitting of mica.* Mechanics of Materials, 136 . Art. No. 103088. ISSN 0167-6636. https://resolver.caltech.edu/CaltechAUTHORS:20190614-153313032

Brach, Stella and Tanné, Erwan and Bourdin, Blaise et al. (2019) *Phase-field study of crack nucleation and propagation in elastic-perfectly plastic bodies.* Computer Methods in Applied Mechanics and Engineering, 353 . pp. 44-65. ISSN 0045-7825. https://resolver.caltech.edu/CaltechAUTHORS:20190124-072222651

Poh, Patrina S. P. and Valainis, Dvina and Bhattacharya, Kaushik et al. (2019) *Optimization of Bone Scaffold Porosity Distributions.* Scientific Reports, 9 . Art. No. 9170. ISSN 2045-2322. PMCID PMC6591284. https://resolver.caltech.edu/CaltechAUTHORS:20190711-095431496

Yang, J. and Bhattacharya, K. (2019) *Combining Image Compression with Digital Image Correlation.* Experimental Mechanics, 59 (5). pp. 629-642. ISSN 0014-4851. https://resolver.caltech.edu/CaltechAUTHORS:20190123-095233323

Teh, Ying Shi and Bhattacharya, Kaushik (2019) *Photovoltaic effect in multi-domain ferroelectric perovskite oxides.* Journal of Applied Physics, 125 (6). Art. No. 064103. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:20190124-122550312

Yang, J. and Bhattacharya, K. (2019) *Augmented Lagrangian Digital Image Correlation.* Experimental Mechanics, 59 (2). pp. 187-205. ISSN 0014-4851. https://resolver.caltech.edu/CaltechAUTHORS:20181206-144519373

Collins, Lincoln and Bhattacharya, Kaushik (2019) *Optimal design of a model energy conversion device.* Structural and Multidisciplinary Optimization, 59 (2). pp. 389-401. ISSN 1615-147X. https://resolver.caltech.edu/CaltechAUTHORS:20180302-065336857

Tutcuoglu, A. D. and Vidyasagar, A. and Bhattacharya, K. et al. (2019) *Stochastic modeling of discontinuous dynamic recrystallization at finite strains in hcp metals.* Journal of the Mechanics and Physics of Solids, 122 . pp. 590-612. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20180926-083949101

Cohen, Noy and Bhattacharya, Kaushik (2019) *A numerical study of the electromechanical response of liquid metal embedded elastomers.* International Journal of Non-Linear Mechanics, 108 . pp. 81-86. ISSN 0020-7462. https://resolver.caltech.edu/CaltechAUTHORS:20181029-094837837

**2018**

Avellar, L. and Reese, T. and Bhattacharya, K. et al. (2018) *Effect of Cohesive Zone Size on Peeling of Heterogeneous Adhesive Tape.* Journal of Applied Mechanics, 85 (12). Art. No. 121005. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20190201-111654305

Paranjape, Harshad M. and Stebner, Aaron P. and Bhattacharya, Kaushik (2018) *A Macroscopic Strain-Space Model of Anisotropic, Cyclic Plasticity with Hardening.* International Journal of Mechanical Sciences, 149 . pp. 365-372. ISSN 0020-7403. https://resolver.caltech.edu/CaltechAUTHORS:20180131-112423318

Hsueh, C.-J. and Avellar, L. and Bourdin, B. et al. (2018) *Stress fluctuation, crack renucleation and toughening in layered materials.* Journal of the Mechanics and Physics of Solids, 120 . pp. 68-78. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20180425-144713630

Yang, Jin and Bhattacharya, Kaushik (2018) *Fast Adaptive Global Digital Image Correlation.* In: Advancement of Optical Methods & Digital Image Correlation in Experimental Mechanics. Conference Proceedings of the Society for Experimental Mechanics Series. Vol.3. Springer , Cham, pp. 69-73. ISBN 978-3-319-97480-4. https://resolver.caltech.edu/CaltechAUTHORS:20201215-100834960

Poh, Patrina S. P. and Valainis, Dvina and Bhattacharya, Kaushik et al. (2018) *Optimizing Bone Scaffold Porosity Distributions.* . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20190123-111634389

Avellar, Louisa and Reese, Tucker and Bhattacharya, Kaushik et al. (2018) *Cohesive Zone Smoothing of Bending Stiffness Heterogeneities in Tape Peeling Experiments.* In: Fracture, Fatigue, Failure and Damage Evolution. Conference Proceedings of the Society for Experimental Mechanics Series. Vol.6. Springer , Cham, pp. 73-76. ISBN 978-3-319-95878-1. https://resolver.caltech.edu/CaltechAUTHORS:20200828-121917087

Hsueh, Chun-Jen and Bhattacharya, Kaushik (2018) *Optimizing microstructure for toughness: the model problem of peeling.* Structural and Multidisciplinary Optimization, 58 (3). pp. 1067-1080. ISSN 1615-147X. https://resolver.caltech.edu/CaltechAUTHORS:20180402-101222389

Hulikal, Srivatsan and Lapusta, Nadia and Bhattacharya, Kaushik (2018) *Static and sliding contact of rough surfaces: effect of asperity-scale properties and long-range elastic interactions.* Journal of the Mechanics and Physics of Solids, 116 . pp. 217-238. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20180402-100646598

Agrawal, Vinamra and Bhattacharya, Kaushik (2018) *Impact induced depolarization of ferroelectric materials.* Journal of the Mechanics and Physics of Solids, 115 . pp. 142-166. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20180327-082448880

Plucinsky, Paul and Kowalski, Benjamin A. and White, Timothy J. et al. (2018) *Patterning nonisometric origami in nematic elastomer sheets.* Soft Matter, 14 (16). pp. 3127-3134. ISSN 1744-683X. https://resolver.caltech.edu/CaltechAUTHORS:20180301-153833459

Sun, D. and Ponga, M. and Bhattacharya, K. et al. (2018) *Proliferation of twinning in hexagonal close-packed metals: Application to magnesium.* Journal of the Mechanics and Physics of Solids, 112 . pp. 368-384. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20171221-151321326

Plucinsky, Paul and Lemm, Marius and Bhattacharya, Kaushik (2018) *Actuation of thin nematic elastomer sheets with controlled heterogeneity.* Archive for Rational Mechanics and Analysis, 227 (1). pp. 149-214. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20170130-115632977

**2017**

Duerig, T. W. and Pelton, A. R. and Bhattacharya, K. (2017) *The Measurement and Interpretation of Transformation Temperatures in Nitinol.* Shape Memory and Superelasticity, 3 (4). pp. 485-498. ISSN 2199-384X. https://resolver.caltech.edu/CaltechAUTHORS:20171108-100437078

Cohen, Noy and Bhattacharya, Kaushik (2017) *Electroclinic effect in chiral smectic - A liquid crystal elastomers.* Physical Review E, 96 (3). Art. No. 032701. ISSN 2470-0045. https://resolver.caltech.edu/CaltechAUTHORS:20170918-090755079

Hulikal, Srivatsan and Bhattacharya, Kaushik and Lapusta, Nadia (2017) *The relation between a microscopic threshold-force model and macroscopic models of adhesion.* Acta Mechanica Sinica, 33 (3). pp. 508-515. ISSN 0567-7718. https://resolver.caltech.edu/CaltechAUTHORS:20170615-065728719

Plucinsky, Paul and Bhattacharya, Kaushik (2017) *Microstructure-enabled control of wrinkling in nematic elastomer sheets.* Journal of the Mechanics and Physics of Solids, 102 . pp. 125-150. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20170313-074644448

Motamarri, Phani and Gavini, Vikram and Bhattacharya, Kaushik et al. (2017) *Spectrum-splitting approach for Fermi-operator expansion in all-electron Kohn-Sham DFT calculations.* Physical Review B, 95 (3). Art. No. 035111. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20161012-162032480

**2016**

Ni, Xiaoyue and Greer, Julia R. and Bhattacharya, Kaushik et al. (2016) *Exceptional resilience of small-scale Au_(30)Cu_(25)Zn_(45) under cyclic stress-induced phase transformation.* Nano Letters, 16 (12). pp. 7621-7625. ISSN 1530-6984. https://resolver.caltech.edu/CaltechAUTHORS:20161107-113303591

Kelly, Alex and Stebner, Aaron P. and Bhattacharya, Kaushik (2016) *A micromechanics-inspired constitutive model for shape-memory alloys that accounts for initiation and saturation of phase transformation.* Journal of the Mechanics and Physics of Solids, 97 . pp. 197-224. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20160328-095717320

Hsueh, Chun-Jen and Bhattacharya, Kaushik (2016) *Homogenization and Path Independence of the J-Integral in Heterogeneous Materials.* Journal of Applied Mechanics, 83 (10). Art. No. 101012. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20161017-154928755

Ponga, M. and Bhattacharya, K. and Ortiz, M. (2016) *A sublinear-scaling approach to density-functional-theory analysis of crystal defects.* Journal of the Mechanics and Physics of Solids, 95 . pp. 530-556. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20161006-104337036

Hsueh, Chun-Jen and Ravichandran, Guruswami and Bhattacharya, Kaushik (2016) *Investigating the Effective Fracture Toughness of Heterogeneous Materials.* In: Fracture, Fatigue, Failure and Damage Evolution. Vol.8. Springer , Cham, pp. 15-20. ISBN 978-3-319-42194-0. https://resolver.caltech.edu/CaltechAUTHORS:20161108-142119224

Ponga, Mauricio and Ramabathiran, Amuthan A. and Bhattacharya, Kaushik et al. (2016) *Dynamic behavior of nano-voids in magnesium under hydrostatic tensile stress.* Modelling and Simulation in Materials Science and Engineering, 24 (6). Art. No. 065003. ISSN 0965-0393. https://resolver.caltech.edu/CaltechAUTHORS:20160729-162325302

Wang, Xin-Cindy and Blesgen, Thomas and Bhattacharya, Kaushik et al. (2016) *A Variational Framework for Spectral Approximations of Kohn–Sham Density Functional Theory.* Archive for Rational Mechanics and Analysis, 221 (2). pp. 1035-1075. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20160523-075651915

Bhattacharya, Kaushik and Lewicka, Marta and Schäffner, Mathias (2016) *Plates with Incompatible Prestrain.* Archive for Rational Mechanics and Analysis, 221 (1). pp. 143-181. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20160509-105130410

Plucinsky, Paul and Lemm, Marius and Bhattacharya, Kaushik (2016) *Programming complex shapes in thin nematic elastomer and glass sheets.* Physical Review E, 94 (1). Art. No. 010701(R). ISSN 2470-0045. https://resolver.caltech.edu/CaltechAUTHORS:20160729-124907729

Hulikal, Srivatsan and Bhattacharya, Kaushik and Lapusta, Nadia (2016) *A threshold-force model for adhesion and mode I fracture.* . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20161012-160619944

McKeon, Beverley and Bhattacharya, Kaushik and Ortiz, Michael (2016) *Morphing surfaces for the control of boundary layer transition.* Patent number: US9315259B1. https://resolver.caltech.edu/CaltechAUTHORS:20200224-133536093

Tan, Likun and Bhattacharya, Kaushik (2016) *Length scales and pinning of interfaces.* Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 374 (2066). Art. No. 20150167. ISSN 1364-503X. https://resolver.caltech.edu/CaltechAUTHORS:20160328-104058900

Dondl, Patrick W. and Bhattacharya, Kaushik (2016) *Effective behavior of an interface propagating through a periodic elastic medium.* Interfaces and Free Boundaries, 18 (1). pp. 91-113. ISSN 1463-9963. https://resolver.caltech.edu/CaltechAUTHORS:20160701-103557323

Hsueh, Chun-Jen and Ravichandran, Guruswami and Bhattacharya, Kaushik (2016) *Measuring the Effective Fracture Toughness of Heterogeneous Materials.* In: Fracture, Fatigue, Failure and Damage Evolution. Conference Proceedings of the Society for Experimental Mechanics. Vol.8. Springer , Cham, pp. 151-155. ISBN 978-3-319-21610-2. https://resolver.caltech.edu/CaltechAUTHORS:20160211-094810104

**2015**

Cesana, Pierluigi and Plucinsky, Paul and Bhattacharya, Kaushik (2015) *Effective Behavior of Nematic Elastomer Membranes.* Archive for Rational Mechanics and Analysis, 218 (2). pp. 863-905. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20150825-104728003

Xia, S. M. and Ponson, L. and Ravichandran, G. et al. (2015) *Adhesion of heterogeneous thin films II: Adhesive heterogeneity.* Journal of the Mechanics and Physics of Solids, 83 . pp. 88-103. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20151030-095316823

Duerig, T. W. and Bhattacharya, K. (2015) *The Influence of the R-Phase on the Superelastic Behavior of NiTi.* Shape Memory and Superelasticity, 1 (2). pp. 153-161. ISSN 2199-384X. https://resolver.caltech.edu/CaltechAUTHORS:20170616-104220103

Hulikal, Srivatsan and Bhattacharya, Kaushik and Lapusta, Nadia (2015) *Collective behavior of viscoelastic asperities as a model for static and kinetic friction.* Journal of the Mechanics and Physics of Solids, 76 . pp. 144-161. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20140603-102932593

Sadjadpour, Amir and Rittel, Daniel and Ravichandran, Guruswami et al. (2015) *A model coupling plasticity and phase transformation with application to dynamic shear deformation of iron.* Mechanics of Materials, 80 (Part B). pp. 255-263. ISSN 0167-6636. https://resolver.caltech.edu/CaltechAUTHORS:20150205-140856431

**2014**

Schmitt, Regina and Mayer, Patrick and Kirsch, Benjamin et al. (2014) *A Phase Field Approach for Martensitic Transformations and Crystal Plasticity.* Proceedings in Applied Mathematics and Mechanics, 14 (1). pp. 383-384. ISSN 1617-7061. https://resolver.caltech.edu/CaltechAUTHORS:20170330-082031305

Keip, Marc-André and Bhattacharya, Kaushik (2014) *A phase-field approach for the modeling of nematic liquid crystal elastomers.* Proceedings in Applied Mathematics and Mechanics, 14 (1). pp. 577-578. ISSN 1617-7061. https://resolver.caltech.edu/CaltechAUTHORS:20170330-074710264

Hossain, M. Z. and Hsueh, C.-J. and Bourdin, B. et al. (2014) *Effective toughness of heterogeneous media.* Journal of the Mechanics and Physics of Solids, 71 . pp. 15-32. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20141120-101117142

Agrawal, Vinamra and Bhattacharya, Kaushik (2014) *Shock wave propagation through a model one dimensional heterogeneous medium.* International Journal of Solids and Structures, 51 (21-22). pp. 3604-3618. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20141023-102817916

Stebner, Aaron P. and Bigelow, Glen S. and Yang, Jin et al. (2014) *Transformation strains and temperatures of a nickel–titanium–hafnium high temperature shape memory alloy.* Acta Materialia, 76 . pp. 40-53. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20140911-142231035

Shmuel, Gal and Thorgeirsson, Adam Thor and Bhattacharya, Kaushik (2014) *Wavelet analysis of microscale strains.* Acta Materialia, 76 . pp. 118-126. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20140911-091253456

Rudykh, S. and Bhattacharya, K. and deBotton, G. (2014) *Multiscale instabilities in soft heterogeneous dielectric elastomers.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 470 (2162). Art. No. 20130618. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20140422-105630959

Shmuel, Gal and Thorgeirsson, Adam Thor and Bhattacharya, Kaushik (2014) *Applications of Wavelets in the Representation and Prediction of Transformation in Shape-Memory Polycrystals.* In: TMS 2014 Supplemental Proceedings. Wiley & Sons Inc. , Hoboken, NJ, pp. 527-534. ISBN 978-1-118-88972-5. https://resolver.caltech.edu/CaltechAUTHORS:20150623-085602848

Ponga, Mauricio and Ariza, Pilar and Ortiz, Michael et al. (2014) *Linear Scaling DFT for defects in metals.* In: Annual Meeting Supplemental Proceedings. John Wiley & Sons, Inc. , Hoboken, New Jersey, pp. 265-272. ISBN 9781118889725. https://resolver.caltech.edu/CaltechAUTHORS:20141124-095544294

Cirak, F. and Long, Q. and Bhattacharya, K. et al. (2014) *Computational analysis of liquid crystalline elastomer membranes: Changing Gaussian curvature without stretch energy.* International Journal of Solids and Structures, 51 (1). pp. 144-153. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20140102-152736248

Bhattacharya, Kaushik and Gao, Huajian (2014) *Sixtieth anniversary issue in honor of Professor Rodney Hill.* Journal of the Mechanics and Physics of Solids, 62 . p. 1. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20140130-125634637

**2013**

Kuo, Hsin-Yi and Bhattacharya, Kaushik (2013) *Fibrous composites of piezoelectric and piezomagnetic phases.* Mechanics of Materials, 60 . pp. 159-170. ISSN 0167-6636. https://resolver.caltech.edu/CaltechAUTHORS:20130523-100758825

Richards, A. W. and Lebensohn, R. A. and Bhattacharya, K. (2013) *Interplay of martensitic phase transformation and plastic slip in polycrystals.* Acta Materialia, 61 (12). pp. 4384-4397. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20130802-100002122

Penmecha, Bharat and Bhattacharya, Kaushik (2013) *Parallel edge cracks due to a phase transformation.* International Journal of Solids and Structures, 50 (10). pp. 1550-1561. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20130528-085615965

Xia, S. M. and Ponson, L. and Ravichandran, G. et al. (2013) *Adhesion of heterogeneous thin films—I: Elastic heterogeneity.* Journal of the Mechanics and Physics of Solids, 61 (3). pp. 838-851. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20130228-134415560

Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael (2013) *Coarse-graining Kohn-Sham Density Functional Theory.* Journal of the Mechanics and Physics of Solids, 61 (1). pp. 38-60. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20160316-132823605

Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael (2013) *Coarse-graining Kohn–Sham Density Functional Theory.* Journal of the Mechanics and Physics of Solids, 61 (1). pp. 38-60. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20121204-074348348

**2012**

Xia, S. and Ponson, L. and Ravichandran, G. et al. (2012) *Toughening and Asymmetry in Peeling of Heterogeneous Adhesives.* Physical Review Letters, 108 (19). Art. No. 196101. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20120605-104732297

Shenoy, Vivek B. and Xiao, Yu and Bhattacharya, Kaushik (2012) *Effect of doping on polarization profiles and switching in semiconducting ferroelectric thin films.* Journal of Applied Physics, 111 (8). Art. No. 084105. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:20120605-102823159

Biggins, J. S. and Warner, M. and Bhattacharya, K. (2012) *Elasticity of polydomain liquid crystal elastomers.* Journal of the Mechanics and Physics of Solids, 60 (4). pp. 573-590. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20120409-152020916

Givli, Sefi and Giang, Ha and Bhattacharya, Kaushik (2012) *Stability of MultiComponent Biological Membranes.* SIAM Journal on Applied Mathematics, 72 (2). pp. 489-511. ISSN 0036-1399. https://resolver.caltech.edu/CaltechAUTHORS:20120518-095511348

Hu, L. X. and Liu, L. P. and Bhattacharya, K. (2012) *Existence of Surface Waves and Band Gaps in Periodic Heterogeneous Half-spaces.* Journal of Elasticity, 107 (1). pp. 65-79. ISSN 0374-3535. https://resolver.caltech.edu/CaltechAUTHORS:20120104-100657316

Rudykh, Stephan and Bhattacharya, Kaushik and deBotton, Gal (2012) *Snap-through actuation of thick-wall electroactive balloons.* International Journal of Non-Linear Mechanics, 47 (2). pp. 206-209. ISSN 0020-7462. https://resolver.caltech.edu/CaltechAUTHORS:20120515-154428747

Suryanarayana, Phanish and Bhattacharya, Kaushik (2012) *Evolution of polarization and space charges in semiconducting ferroelectrics.* Journal of Applied Physics, 111 (3). Art. No. 034109. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:20120410-083810590

Tian, L. and Tevet-Deree, L. and deBotton, G. et al. (2012) *Dielectric elastomer composites.* Journal of the Mechanics and Physics of Solids, 60 (1). pp. 181-198. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20120106-080505466

**2011**

Suryanarayana, Phanish and Bhattacharya, Kaushik and Ortiz, Michael (2011) *A mesh-free convex approximation scheme for Kohn–Sham density functional theory.* Journal of Computational Physics, 230 (13). pp. 5226-5238. ISSN 0021-9991. https://resolver.caltech.edu/CaltechAUTHORS:20110623-074123014

Modes, C. D. and Bhattacharya, K. and Warner, M. (2011) *Gaussian curvature from flat elastica sheets.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 467 (2128). pp. 1121-1140. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20110317-105846413

**2010**

Kuo, Hsin-Yi and Slinger, Alex and Bhattacharya, Kaushik (2010) *Optimization of magnetoelectricity in piezoelectric–magnetostrictive bilayers.* Smart Materials and Structures, 19 (12). Art. No. 125010 . ISSN 0964-1726. https://resolver.caltech.edu/CaltechAUTHORS:20101214-131536224

Dondl, Patrick W. and Bhattacharya, Kaushik (2010) *A Sharp Interface Model for the Propagation of Martensitic Phase Boundaries.* Archive for Rational Mechanics and Analysis, 197 (2). pp. 599-617. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20100715-084916174

Modes, Carl D. and Bhattacharya, Kaushik and Warner, Mark (2010) *Disclination-mediated thermo-optical response in nematic glass sheets.* Physical Review E, 81 (6). Art. No. 060701. ISSN 1539-3755. https://resolver.caltech.edu/CaltechAUTHORS:20100630-135257452

Bhattacharya, Kaushik and Schlömerkemper, Anja (2010) *Stress-Induced Phase Transformations in Shape-Memory Polycrystals.* Archive for Rational Mechanics and Analysis, 196 (3). pp. 715-751. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20100518-135240082

Louie, Mary W. and Kislitsyn, Mikhail and Bhattacharya, Kaushik et al. (2010) *Phase transformation and hysteresis behavior in Cs_(1-x)Rb_xH_2PO_4.* Solid State Ionics, 181 (3-4). pp. 173-179. ISSN 0167-2738. https://resolver.caltech.edu/CaltechAUTHORS:20100610-141653473

Suryanarayana, Phanish and Vikram, Gavini and Blesgen, Thomas et al. (2010) *Non-periodic finite-element formulation of Kohn–Sham density functional theory.* Journal of the Mechanics and Physics of Solids, 58 (2). pp. 256-280. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20100302-131546235

**2009**

Liu, Liping and Bhattacharya, Kaushik (2009) *Wave propagation in a sandwich structure.* International Journal of Solids and Structures, 46 (17). pp. 3290-3300. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20090817-144818084

Biggins, J. S. and Warner, M. and Bhattacharya, K. (2009) *Supersoft elasticity in polydomain nematic elastomers.* Physical Review Letters, 103 (3). Art. No. 037802. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20090811-112637753

Biggins, J. S. and Bhattacharya, K. (2009) *Characterization of soft stripe-domain deformations in Sm-C and Sm-C* liquid-crystal elastomers.* Physical Review E, 79 (6). Art. No. 061705. ISSN 1063-651X. https://resolver.caltech.edu/CaltechAUTHORS:20090731-111609650

Kramer, Sharlotte L. B. and Ravichandran, Guruswami and Bhattacharya, Kaushik (2009) *Transmission wavefront shearing interferometry for photoelastic materials.* Applied Optics, 48 (13). pp. 2450-2460. ISSN 0003-6935. https://resolver.caltech.edu/CaltechAUTHORS:20090630-101225777

Ponson, L. and Diest, K. and Atwater, H. A. et al. (2009) *Competing failure mechanisms in thin films: Application to layer transfer.* Journal of Applied Physics, 105 (7). Art. No. 073514. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:20090821-125551614

Daly, S. and Rittel, D. and Bhattacharya, K. et al. (2009) *Large deformation of nitinol under shear dominant loading.* Experimental Mechanics, 49 (2). pp. 225-233. ISSN 0014-4851. https://resolver.caltech.edu/CaltechAUTHORS:20090519-114619132

Kramer, S. L. B. and Mello, M. and Ravichandran, G. et al. (2009) *Phase shifting full-field interferometric methods for determination of in-plane tensorial stress.* Experimental Mechanics, 49 (2). pp. 303-315. ISSN 0014-4851. https://resolver.caltech.edu/CaltechAUTHORS:20090811-084717973

Givli, Sefi and Bhattacharya, Kaushik (2009) *A coarse-grained model of the myofibril: Overall dynamics and the evolution of sarcomere non-uniformities.* Journal of the Mechanics and Physics of Solids, 57 (2). pp. 221-243. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20090424-093629858

**2008**

Bhattacharya, Kaushik and Schlömerkemper, Anja (2008) *Stress-induced phase transformations in shape-memory polycrystals.* California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechSOLIDS:2008.005

Biggins, J. S. and Bhattacharya, K. (2008) *Characterization of soft stripe-domain deformations in SmC and SmC* liquid-crystal elastomers.* California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechSOLIDS:2008.004

Dondl, Patrick W. and Bhattacharya, Kaushik (2008) *A sharp interface model for the propagation of martensitic phase boundaries.* California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechSOLIDS:2008.003

Dicken, Matthew J. and Sweatlock, Luke A. and Pacifici, Domenico et al. (2008) *Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers.* Nano Letters, 8 (11). pp. 4048-4052. ISSN 1530-6984. https://resolver.caltech.edu/CaltechAUTHORS:DICnl08

Ponson, L. and Diest, K. and Atwater, H. A. et al. (2008) *Origin of undesirable cracks during layer transfer.* . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20160322-074244346

Givli, Sefi and Bhattacharya, Kaushik (2008) *A coarse-grained model of the myofibril: overall dynamics and the evolution of sarcomere non-uniformities.* California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechSOLIDS:2008.002

Daly, Samantha and Bhattacharya, Kaushik and Ravichandran, Guruswami (2008) *Deformation Behavior of a Shape Memory Alloy, Nitinol.* In: Advanced Energy Systems; Advanced and Digital Manufacturing; Advanced Materials; Aerospace. No.1. American Society of Mechanical Engineering , p. 553. ISBN 978-0-7918-4835-7. https://resolver.caltech.edu/CaltechAUTHORS:20160127-072106515

Xiao, Yu and Bhattacharya, Kaushik (2008) *A continuum theory of deformable, semiconducting ferroelectrics.* Archive for Rational Mechanics and Analysis, 189 (1). pp. 59-95. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20131009-085950220

Chenchiah, Isaac V. and Bhattacharya, Kaushik (2008) *The Relaxation of Two-well Energies with Possibly Unequal Moduli.* Archive for Rational Mechanics and Analysis, 187 (3). pp. 409-479. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20131008-143908773

**2007**

Gavirini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael (2007) *Vacancy clustering and prismatic dislocation loop formation in aluminum.* Physical Review B, 76 (18). Art. No. 180101. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:GAVprb07

Dondl, Patrick W. and Shen, Ching-Ping and Bhattacharya, Kaushik (2007) *Computational analysis of martensitic thin films using subdivision surfaces.* International Journal for Numerical Methods in Engineering, 72 (1). pp. 72-94. ISSN 0029-5981. https://resolver.caltech.edu/CaltechAUTHORS:20131008-085924006

Daly, S. and Miller, A. and Ravichandran, G. et al. (2007) *Experimental investigation of crack initiation in thin sheets of nitinol.* Acta Materialia, 55 (18). pp. 6322-6330. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131008-084446067

Sadjadpour, Amir and Bhattacharya, Kaushik (2007) *A micromechanics-inspired constitutive model for shape-memory alloys.* Smart Materials and Structures, 16 (5). pp. 1751-1765. ISSN 0964-1726. https://resolver.caltech.edu/CaltechAUTHORS:SADsms07b

Dayal, Kaushik and Bhattacharya, Kaushik (2007) *Active tuning of photonic device characteristics during operation by ferroelectric domain switching.* Journal of Applied Physics, 102 (6). Art. No. 064102. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:DAYjap07

Yavari, A. and Ortiz, M. and Bhattacharya, K. (2007) *Anharmonic lattice statics analysis of 180º and 90º ferroelectric domain walls in PbTiO_3.* Philosophical Magazine, 87 (26). pp. 3997-4026. ISSN 1478-6435. https://resolver.caltech.edu/CaltechAUTHORS:20131008-142756092

Daly, S. and Ravichandran, G. and Bhattacharya, K. (2007) *Stress-induced martensitic phase transformation in thin sheets of Nitinol.* Acta Materialia, 55 (10). pp. 3593-3600. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131008-082850831

Gavini, Vikram and Knap, Jaroslaw and Bhattacharya, Kaushik et al. (2007) *Non-periodic finite-element formulation of orbital-free density functional theory.* Journal of the Mechanics and Physics of Solids, 55 (4). pp. 669-696. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20101213-152730530

Gavini, Vikram and Bhattacharya, Kaushik and Ortiz, Michael (2007) *Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation.* Journal of the Mechanics and Physics of Solids, 55 (4). pp. 697-718. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131007-153105987

Dayal, Kaushik and Bhattacharya, Kaushik (2007) *A real-space non-local phase-field model of ferroelectric domain patterns in complex geometries.* Acta Materialia, 55 (6). pp. 1907-1917. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131008-075822606

Shilo, D. and Burcsu, E. and Ravichandran, G. et al. (2007) *A model for large electrostrictive actuation in ferroelectric single crystals.* International Journal of Solids and Structures, 44 (6). pp. 2053-2065. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20101007-120102984

Sadjadpour, Amir and Bhattacharya, Kaushik (2007) *A micromechanics inspired constitutive model for shape-memory alloys: the one-dimensional case.* Smart Materials and Structures, 16 (1). S51-S62. ISSN 0964-1726. https://resolver.caltech.edu/CaltechAUTHORS:SADsms07

Yavari, Arash and Ortiz, Michael and Bhattacharya, Kaushik (2007) *A theory of anharmonic lattice statics for analysis of defective crystals.* Journal of Elasticity, 86 (1). pp. 41-83. ISSN 0374-3535. https://resolver.caltech.edu/CaltechAUTHORS:20131009-090857631

Shilo, Doron and Ravichandran, Guruswami and Bhattacharya, Kaushik (2007) *Investigation of Twin-Wall Structure at the Nanometer Scale Using Atomic Force Microscopy.* In: Experimental Analysis of Nano and Engineering Materials and Structures. Springer , Dordrecht, pp. 385-386. ISBN 978-1-4020-6238-4. https://resolver.caltech.edu/CaltechAUTHORS:20190828-083227549

**2006**

El-Naggar, Mohamed Y. and Dayal, Kaushik and Goodwin, David G. et al. (2006) *Graded ferroelectric capacitors with robust temperature characteristics.* Journal of Applied Physics, 100 (11). Art. No. 114115. ISSN 0021-8979. https://resolver.caltech.edu/CaltechAUTHORS:NAGjap06

Dayal, Kaushik and Bhattacharya, Kaushik (2006) *Kinetics of phase transformations in the peridynamic formulation of continuum mechanics.* Journal of the Mechanics and Physics of Solids, 54 (9). pp. 1811-1842. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:DAYjmps06

Zhang, Rongjing and Shilo, Doron and Ravichandran, Guruswami et al. (2006) *Mechanical Characterization of Released Thin Films by Contact Loading.* Journal of Applied Mechanics, 73 (5). pp. 730-736. ISSN 0021-8936. https://resolver.caltech.edu/CaltechAUTHORS:20110411-103722979

Ruglovsky, Jennifer L. and Li, Jiangyu and Diest, Kenneth A. et al. (2006) *The effect of biaxial texture on the effective electromechanical constants of polycrystalline barium titanate and lead titanate thin films.* Acta Materialia, 54 (14). pp. 3657-3663. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131007-140336325

Franck, Christian and Ravichandran, Guruswami and Bhattacharya, Kaushik (2006) *Characterization of domain walls in BaTiO3 using simultaneous atomic force and piezo response force microscopy.* Applied Physics Letters, 88 (10). Art. No. 102907. ISSN 0003-6951. https://resolver.caltech.edu/CaltechAUTHORS:FRAapl06

**2005**

Xiao, Yu and Shenoy, Vivek B. and Bhattacharya, Kaushik (2005) *Depletion Layers and Domain Walls in Semiconducting Ferroelectric Thin Films.* Physical Review Letters, 95 (24). Art. No. 247603. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:XIAprl05

Chenchiah, Isaac V. and Bhattacharya, Kaushik (2005) *Examples of nonlinear homogenization involving degenerate energies. I. Plane strain.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 461 (2063). pp. 3681-3703. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20131008-134246206

Li, J. Y. and Rogan, R. C. and Üstündag, E. et al. (2005) *Domain switching in polycrystalline ferroelectric ceramics.* Nature Materials, 4 (10). pp. 776-781. ISSN 1476-1122. https://resolver.caltech.edu/CaltechAUTHORS:20131007-114439370

Bhattacharya, K. and Suquet, P. M. (2005) *A model problem concerning recoverable strains of shape-memory polycrystals.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 461 (2061). pp. 2797-2816. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20131007-125756465

Bhattacharya, Kaushik and James, Richard D. (2005) *The Material Is the Machine.* Science, 307 (5706). pp. 53-54. ISSN 0036-8075. https://resolver.caltech.edu/CaltechAUTHORS:20141119-075744826

Zhang, W. and Bhattacharya, K. (2005) *A computational model of ferroelectric domains. Part I: model formulation and domain switching.* Acta Materialia, 53 (1). pp. 185-198. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131004-091710365

Zhang, W. and Bhattacharya, K. (2005) *A computational model of ferroelectric domains. Part II: grain boundaries and defect pinning.* Acta Materialia, 53 (1). pp. 199-209. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131007-154059651

Bhattacharya, K. (2005) *Thin Films of Active Materials.* In: Nonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials. NATO Science Series II. No.170. Kluwer Academic Publishers , New York, NY, pp. 15-44. ISBN 978-1-4020-2621-8. https://resolver.caltech.edu/CaltechAUTHORS:20160127-083437576

**2004**

Xiao, Yu and Bhattacharya, Kaushik (2004) *Interaction of oxygen vacancies with domain walls and its impact on fatigue in ferroelectric thin films.* In: Smart Structures and Materials 2004: Active Materials: Behavior and Mechanics. Proceedings of SPIE. No.5387. Society of Photo-Optical Instrumentation Engineers , Bellingham, WA, pp. 354-365. ISBN 0-8194-5304-8. https://resolver.caltech.edu/CaltechAUTHORS:20160127-064923846

Shilo, Doron and Ravichandran, Guruswami and Bhattacharya, Kaushik (2004) *Investigation of twin-wall structure at the nanometre scale using atomic force microscopy.* Nature Materials, 3 (7). pp. 453-457. ISSN 1476-1122. https://resolver.caltech.edu/CaltechAUTHORS:20131007-113946664

Craciun, Bogdan and Bhattacharya, Kaushik (2004) *Effective motion of a curvature-sensitive interface through a heterogeneous medium.* Interfaces and Free Boundaries, 6 (2). pp. 151-173. ISSN 1463-9971. https://resolver.caltech.edu/CaltechAUTHORS:20131008-121754258

Bhattacharya, K. and Schlömerkemper, A. (2004) *Transformation yield surface of shape memory alloys.* Journal de Physique IV (Proceedings), 115 . pp. 155-162. ISSN 1155-4339. https://resolver.caltech.edu/CaltechAUTHORS:20160127-073934774

Huang, Cheng and Zhang, Q. M. and deBotton, Gal et al. (2004) *All-organic dielectric-percolative three-component composite materials with high electromechanical response.* Applied Physics Letters, 84 (22). pp. 4391-4393. ISSN 0003-6951. https://resolver.caltech.edu/CaltechAUTHORS:HUAapl04a

Burcsu, E. and Ravichandran, G. and Bhattacharya, K. (2004) *Large electrostrictive actuation of barium titanate single crystals.* Journal of the Mechanics and Physics of Solids, 52 (4). pp. 823-846. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131004-084239216

Bhattacharya, Kaushik and Conti, Sergio and Zanzotto, Giovanni et al. (2004) *Crystal symmetry and the reversibility of martensitic transformations.* Nature, 428 (6978). pp. 55-59. ISSN 0028-0836. https://resolver.caltech.edu/CaltechAUTHORS:20131007-130456440

**2003**

Jabbour, Michel E. and Bhattacharya, Kaushik (2003) *A Continuum Theory of Multispecies Thin Solid Film Growth by Chemical Vapor Deposition.* Journal of Elasticity, 73 (1-3). pp. 13-74. ISSN 0374-3535. https://resolver.caltech.edu/CaltechAUTHORS:20131007-114059985

Bhattacharya, K. and Ravichandran, G. (2003) *Ferroelectric perovskites for electromechanical actuation.* Acta Materialia, 51 (19). pp. 5941-5960. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131007-112842630

Bhattacharya, K. and Purohit, P. and Craciun, B. (2003) *Mobility of twin and phase boundaries.* Journal de Physique IV (Proceedings), 112 . pp. 163-166. ISSN 1155-4339. https://resolver.caltech.edu/CaltechAUTHORS:20160127-080333461

Zhang, Wei and Bhattacharya, Kaushik (2003) *Modeling large strain electrostriction of ferroelectrics under combined electromechanical loads.* In: Smart Structures and Materials 2003: Active Materials: Behavior and Mechanics. Proceedings of SPIE. No.5053. Society of Photo-Optical Instrumentation Engineers , Bellingham, WA, pp. 368-375. https://resolver.caltech.edu/CaltechAUTHORS:20160127-065852731

Craciun, Bogdan and Bhattacharya, Kaushik (2003) *Homogenization of a Hamilton-Jacobi equation associated with the geometric motion of an interface.* Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 133 (4). pp. 773-805. ISSN 0308-2105. https://resolver.caltech.edu/CaltechAUTHORS:20131007-100104548

Purohit, Prashant K. and Bhattacharya, Kaushik (2003) *Dynamics of strings made of phase-transforming materials.* Journal of the Mechanics and Physics of Solids, 51 (3). pp. 393-424. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131007-143329723

**2002**

Li, Jiangyu and Bhattacharya, Kaushik (2002) *A Mesoscopic Electromechanical Theory of Ferroelectric Films and Ceramics.* In: Fundamental physics of ferroelectrics 2002. AIP Conference Proceedings. No.626. American Institute of Physics , Melville, NY, pp. 224-231. ISBN 0-7354-0079-2. https://resolver.caltech.edu/CaltechAUTHORS:20111026-092923527

Purohit, Prashant K. and Bhattacharya, Kaushik (2002) *On beams made of a phase-transforming material.* International Journal of Solids and Structures, 39 (13-14). pp. 3907-3929. ISSN 0020-7683. https://resolver.caltech.edu/CaltechAUTHORS:20131004-074804695

Bhattacharya, Kaushik and Braides, Andrea (2002) *Thin films with many small cracks.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 458 (2020). pp. 823-840. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20131004-103540402

Kukta, R. V. and Bhattacharya, K. (2002) *A micromechanical model of surface steps.* Journal of the Mechanics and Physics of Solids, 50 (3). pp. 615-649. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131004-082434919

Bhattacharya, Kaushik and Fonseca, Irene and Francfort, Gilles (2002) *An Asymptotic Study of the Debonding of Thin Films.* Archive for Rational Mechanics and Analysis, 161 (3). pp. 205-229. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20131017-151943131

Burcsu, E. and Ravichandran, G. and Bhattacharya, K. (2002) *Observation of Domain Motion in Single-Crystal Barium Titanate under Combined Electromechanical Loading Conditions.* In: IUTAM Symposium on Mechanics of Martensitic Phase Transformation in Solids. Solid Mechanics and its Applications. No.101. Springer , New York, NY, pp. 63-70. ISBN 978-90-481-6071-6. https://resolver.caltech.edu/CaltechAUTHORS:20160127-085635071

**2001**

Shu, Y. C. and Bhattacharya, K. (2001) *Domain patterns and macroscopic behaviour of ferroelectric materials.* Philosophical Magazine B, 81 (12). pp. 2021-2054. ISSN 0141-8637. https://resolver.caltech.edu/CaltechAUTHORS:20131004-082951362

Bhattacharya, Kaushik and Li, Jiang Yu (2001) *Domain Patterns, Texture and Macroscopic Electro-mechanical Behavior of Ferroelectrics.* In: Fundamental Physics of Ferroelectrics 2001. AIP Conference Proceedings. No.582. American Institute of Physics , Melville, N.Y. , pp. 72-81. ISBN 0-7354-0021-0. https://resolver.caltech.edu/CaltechAUTHORS:20111116-115029667

Xiao, Yu and Bhattacharya, Kaushik (2001) *Modeling electromechanical properties of ionic polymers.* In: Smart Structures and Materials 2001: Electroactive Polymer Actuators and Devices. Proceedings of SPIE. No.4329. Society of Photo-Optical Instrumentation Engineers , Bellingham, WA, pp. 292-300. ISBN 0-8194-4015-9. https://resolver.caltech.edu/CaltechAUTHORS:20160126-141456675

Li, Jiangyu and Bhattacharya, Kaushik (2001) *Comments on the spontaneous strain and polarization of polycrystalline ferroelectric ceramics.* In: Smart Structures and Materials 2001: Active Materials: Behavior and Mechanics. Proceedings of SPIE. No.4333. Society of Photo-Optical Instrumentation Engineers , Bellingham, WA, pp. 80-82. ISBN 0-8194-4019-1. https://resolver.caltech.edu/CaltechAUTHORS:20160126-134241728

Burcsu, Eric and Ravichandran, G. and Bhattacharya, Kaushik (2001) *Electromechanical behavior of 90-degree domain motion in barium titanate single crystals.* In: Smart Structures and Materials 2001: Active Materials: Behavior and Mechanics. Proceedings of SPIE. No.4333. Society of Photo-Optical Instrumentation Engineers , Bellingham, WA, pp. 121-130. ISBN 0-8194-4019-1. https://resolver.caltech.edu/CaltechAUTHORS:20160126-135845277

Bhattacharya, Kaushik and Dolzmann, Georg (2001) *Relaxation of some multi-well problems.* Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 131 (2). pp. 279-320. ISSN 0308-2105. https://resolver.caltech.edu/CaltechAUTHORS:20131022-085750715

**2000**

Simha, N. K. and Bhattacharya, K. (2000) *Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body.* Journal of the Mechanics and Physics of Solids, 48 (12). pp. 2619-2641. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131004-075718615

Burscu, E. and Ravichandran, G. and Bhattacharya, K. (2000) *Large strain electrostrictive actuation in barium titanate.* Applied Physics Letters, 77 (11). pp. 1698-1700. ISSN 0003-6951. https://resolver.caltech.edu/CaltechAUTHORS:BURapl00

Burcsu, Eric and Ravichandran, G. and Bhattacharya, K. (2000) *Mechanics of large electrostriction in ferroelectrics.* In: Smart structures and materials 2000. Active materials, behavior and mechanics. Proceedings of SPIE. No.3992. International Society for Optical Engineering , Bellingham, WA, pp. 296-304. ISBN 0-8194-3610-0. https://resolver.caltech.edu/CaltechAUTHORS:20131004-100114192

Bhattacharya, Kaushik and Dolzmann, Georg (2000) *Relaxed constitutive relations for phase transforming materials.* Journal of the Mechanics and Physics of Solids, 48 (6-7). pp. 1493-1517. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131004-140605432

**1999**

Simha, N. K. and Bhattacharya, K. (1999) *Edge effects on the propagation of phase boundaries.* Materials Science and Engineering A, 273 . pp. 241-244. ISSN 0921-5093. https://resolver.caltech.edu/CaltechAUTHORS:20131008-095857788

Bhattacharya, K. and DeSimone, A. and Hane, K. F. et al. (1999) *Tents and tunnels on martensitic films.* Materials Science and Engineering A, 273 . pp. 685-689. ISSN 0921-5093. https://resolver.caltech.edu/CaltechAUTHORS:20131008-100811678

Jabbour, M. and Bhattacharya, K. (1999) *A multispecies step-flow model of growth of compound thin films by MOCVD.* Thin Solid Films, 357 (1). pp. 26-30. ISSN 0040-6090. https://resolver.caltech.edu/CaltechAUTHORS:20131008-110352649

Kukta, R. V. and Bhattacharya, K. (1999) *A three-dimensional model of step flow mediated crystal growth under the combined influences of stress and diffusion.* Thin Solid Films, 357 (1). pp. 35-39. ISSN 0040-6090. https://resolver.caltech.edu/CaltechAUTHORS:20131008-143238571

Bhattacharya, Kaushik and Li, Bo and Luskin, Mitchell (1999) *The Simply Laminated Microstructure in Martensitic Crystals that Undergo a Cubic-to-Orthorhombic Phase Transformation.* Archive for Rational Mechanics and Analysis, 149 (2). pp. 123-154. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20131009-110131372

Bhattacharya, K. and Friesecke, G. and James, R. D. (1999) *The mathematics of microstructure and the design of new materials.* Proceedings of the National Academy of Sciences of the United States of America, 96 (15). pp. 8332-8333. ISSN 0027-8424. PMCID PMC33624. https://resolver.caltech.edu/CaltechAUTHORS:20131008-103853023

Bhattacharya, K. and James, R. D. (1999) *A theory of thin films of martensitic materials with applications to microactuators.* Journal of the Mechanics and Physics of Solids, 47 (3). pp. 531-576. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131008-080907937

Bhattacharya, Kaushik (1999) *Phase boundary propagation in a heterogeneous body.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 455 (1982). pp. 757-766. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20131008-135459071

Bhattacharya, K. and Kohn, R. V. and Kozlov, S. (1999) *Some examples of nonlinear homogenization involving nearly degenerate energies.* Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 455 (1982). pp. 567-583. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20131008-135432675

Bhattacharya, Kaushik (1999) *Crystallographic attributes of a shape-memory alloy.* Journal of Engineering Materials and Technology, 121 (1). pp. 93-97. ISSN 0094-4289. https://resolver.caltech.edu/CaltechAUTHORS:20131008-112919537

Bhattacharya, Kaushik (1999) *Energy minimization and nonlinear problems in polycrystalline solids.* In: Computer-Aided Design of High-Temperature Matereials. Oxford University Press , New York, NY, pp. 139-148. ISBN 0-19-512050-7. https://resolver.caltech.edu/CaltechAUTHORS:20160126-095640051

**1998**

Simha, N. K. and Bhattacharya, K. (1998) *Kinetics of phase boundaries with edges and junctions.* Journal of the Mechanics and Physics of Solids, 46 (12). pp. 2323-2359. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131004-085837547

Bhattacharya, K. and Ortiz, M. and Ravichandran, G. (1998) *Energy-based model of compressive splitting in heterogeneous brittle solids.* Journal of the Mechanics and Physics of Solids, 46 (10). pp. 2171-2181. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20131007-083528747

Shu, Y. C. and Bhattacharya, K. (1998) *The influence of texture on the shape-memory effect in polycrystals.* Acta Materialia, 46 (15). pp. 5457-5473. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131007-095506660

Bhattacharya, K. and Kohn, R. V. and Shu, Y. C. (1998) *The Taylor Estimate of Recoverable Strains in Shape-Memory Polycrystals.* In: IUTAM Symposium on Transformation Problems in Composite and Active Materials. Solid Mechanics and its Applications. No.60. Springer , Dordrecht, pp. 123-134. ISBN 978-0-7923-5122-1. https://resolver.caltech.edu/CaltechAUTHORS:20160126-121928408

**1997**

Bhattacharya, K. and James, R. D. and Swart, P. J. (1997) *Relaxation in shape-memory alloys—Part I. Mechanical model.* Acta Materialia, 45 (11). pp. 4547-4560. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131008-090814329

Bhattacharya, K. and James, R. D. and Swart, P. J. (1997) *Relaxation in shape-memory alloys—Part II. Thermo-mechanical model and proposed experiments.* Acta Materialia, 45 (11). pp. 4561-4568. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20131008-113053878

Simha, N. K. and Bhattacharya, K. (1997) *Equilibrium conditions at corners and edges of an interface in a multiphase solid.* Materials Science and Engineering A, 238 (1). pp. 32-41. ISSN 0921-5093. https://resolver.caltech.edu/CaltechAUTHORS:20131007-094847359

Bhattacharya, Kaushik and Kohn, Robert V. (1997) *Elastic Energy Minimization and the Recoverable Strains of Polycrystalline Shape-Memory Materials.* Archive for Rational Mechanics and Analysis, 139 (2). pp. 99-180. ISSN 0003-9527. https://resolver.caltech.edu/CaltechAUTHORS:20131007-131619635

Bhattacharya, K. (1997) *Kinematics of Crossing Twins.* In: Contemporary research in the mechanics and mathematics of materials. Theory and engineering applications of computational methods. CIMNE , Barcelona, Spain, pp. 251-262. ISBN 9788487867743. https://resolver.caltech.edu/CaltechAUTHORS:20160127-081030087

**1996**

Bhattacharya, K. and James, R. D. (1996) *A Theory of Shape-Memory Thin Films with Applications.* In: Materials for Smart Systems II. Materials Research Society Symposia Proceedings. No.459. Materials Research Society , Pittsburgh, PA, pp. 311-316. ISBN 1-55899-363-0. https://resolver.caltech.edu/CaltechAUTHORS:20160127-091313224

Bhattacharya, K. and Kohn, R. V. (1996) *Symmetry, texture and the recoverable strain of shape-memory polycrystals.* Acta Materialia, 44 (2). pp. 529-542. ISSN 1359-6454. https://resolver.caltech.edu/CaltechAUTHORS:20160126-133506833

**1995**

Bhattacharya, K. and Kohn, R. V. (1995) *Recoverable Strains in Shape-Memory Polycrystals.* Journal de Physique IV (Proceedings), 05 (C8). pp. 261-266. ISSN 1155-4339. https://resolver.caltech.edu/CaltechAUTHORS:20160127-092842919

**1994**

Bhattacharya, Kaushik and Firoozye, Nikan B. and James, Richard D. et al. (1994) *Restrictions on microstructure.* Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 124 (5). pp. 843-878. ISSN 0308-2105. https://resolver.caltech.edu/CaltechAUTHORS:20160127-093548090

**1993**

Bhattacharya, Kaushik and Kohn, Robert V. (1993) *Effective behavior of polycrystals that undergo martensitic phase transformation.* In: Smart Structures and Materials 1993: Mathematics in Smart Structures. Proceedings of SPIE. No.1919. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 207-213. ISBN 9780819411525. https://resolver.caltech.edu/CaltechAUTHORS:20180709-153925415

**1991**

Bhattacharya, K. (1991) *Wedge-like microstructure in martensites.* Acta Metallurgica et Materialia, 39 (10). pp. 2431-2444. ISSN 0956-7151. https://resolver.caltech.edu/CaltechAUTHORS:20160126-130553661

Bhattacharya, K. (1991) *Korn's Inequality for Sequences.* Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 434 (1891). pp. 479-484. ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20160127-073148263v