2008




2008

  1. I. V. Chenchiah and K. Bhattacharya. The relaxation of two-well energies with possibly unequal moduli. Arch. Rat. Mech. Anal., 187: 409-479, 2008. Preprint

2007

  1. V. Gavini, J. Knap, K. Bhattacharya and M. Ortiz. Non-periodic finite-element formulation of orbital-free density functional theory. J. Mech. Phys. Solids, 55:669-696, 2007. Preprint
  2. V. Gavini, K. Bhattacharya and M. Ortiz. Quasi-continuum orbital-free density-functional theory: A route to multi-million atom non-periodic DFT calculation. J. Mech. Phys. Solids, 55:697-718, 2007. Preprint
  3. K. Dayal and K. Bhattacharya. A real-space non-local phase-field model of ferroelectric domain patterns in complex geometries. Acta Mat., 55:1907-1917, 2007. Preprint
  4. A. Sadjadpour and K. Bhattacharya. A micromechanics inspired constitutive model for shape-memory alloys: the one-dimensional case. Smart Mat. Struct., 16:S51-S62, 2007. Preprint
  5. A. Yavari, M. Ortiz and K. Bhattacharya. A theory of anharmonic lattice statics for analysis of defective crystals. J. of Elasticity, 86:41-83, 2007. Preprint
  6. A. Yavari, M. Ortiz and K. Bhattacharya. Anharmonic lattice statics analysis of 180 and 90 degree ferroelectric domain walls in PbTiO3. Phil. Mag., 87:3997-4026, 2007. Preprint
  7. S. Daly, G. Ravinchandran and K. Bhattacharya. Stress-induced martensitic phase transformation in thin sheets of Nitinol. Acta Mat., 55:3593-3600, 2007. Preprint
  8. D. Shilo, E. Burcsu, G. Ravichandran and K. Bhattacharya. A model for large electrostrictive actuation in ferroelectric single crystals. Int. J. Solids Struct., 44:2053-2065, 2007. Preprint
  9. K. Dayal and K. Bhattacharya. Active tuning of photonic device characteristics during operation by ferroelectric domain switching. J. Appl. Phys., 102:064102-064107, 2007. Preprint
  10. P. W. Dondl, C-P Shen and K. Bhattacharya. Computational analysis of martensitic thin films using subdivision surfaces. Int. J. Num. Meth. Engrg., 72:72-94, 2007. Preprint
  11. L. Liu, R. James and P. Leo. New extremal inclusions and their applications to two-phase composites. 2007. Submitted. Preprint
  12. L. Liu. Solutions to the Eshelby conjectures. 2007. Submitted. Preprint
  13. L. Liu. Hashin-Shtrikman bounds for multiphase composites and their attainability. 2007. Submitted. Preprint
  14. V. Gavini, K. Bhattacharya and M. Ortiz. Vacancy clustering and prismatic dislocation loop formation in aluminum. Physical Rev. B. 76:180101-4, 2007. Preprint
  15. S. Daly, A. Miller, G. Ravichandran and K. Bhattacharya. An experimental investigation of crack initiation in thin sheets of Nitinol. Acta Mat., 55:6322-6330, 2007. Preprint

2006

  1. K. Dayal and K. Bhattacharya. The kinetics of phase boundaries in the peridynamic formulation of continuum mechanics. J. Mech. Phys. Solids, 54:1811-1842, 2006. Preprint
  2. C. Franck, G. Ravichandran and K. Bhattacharya. Characterization of domain walls in BaTiO3 using simultaneous atomic force and piezo-response force microscopy. Appl. Phys. Lett. 88:102907-3, 2006. Preprint
  3. R. Zhang, D. Shilo, G. Ravichandran and K. Bhattacharya. Mechanical characterization of released thin films by contact loading. J. Appl. Mech., 73:730-736, 2006. Preprint
  4. J.L. Ruglovsky, J. Li, K. Bhattacharya and H.A. Atwater The effect of biaxial texture on the effective electromechanical constants of polycrystalline barium titanate and lead titanate thin films. Acta Mat., 54:3657-3663, 2006. Preprint
  5. Y. Xiao and K. Bhattacharya. A continuum theory of deformable, semiconducting ferroelectrics, to appear, Arch. Rat. Mech. Anal., 2006. Preprint
  6. M. Y. El-Naggar, K. Dayal, D. G. Goodwin and K. Bhattacharya. Graded ferroelectric capacitors with robust temperatuare characteristics. J. Appl. Phys., 100:114115-5, 2006. Preprint

2005

  1. K. Bhattacharya and R.D. James. The material is the machine. Science, 307:53-54, 2005. Article
  2. J.Y. Li, R.C. Rogan, E. Ustundag and K. Bhattacharya. Domain switching in polycrystalline ferroelectric ceramics. Nature Materials, 4:776-781, 2005.
  3. W. Zhang and K. Bhattacharya. A computational model of ferroelectric domains. Part I: Model formulation and domain switching. Acta Mater., 53:185-198, 2005. Preprint
  4. W. Zhang and K. Bhattacharya. A computational model of ferroelectric domains. Part II: Grain boundaries and defect pinning. Acta Mater., 53:199-209, 2005. Preprint
  5. K. Bhattacharya and P.M. Suquet. A model problem concerning recoverable strains of shape-memory polycrystals. Proc. Royal Society London A, 461:2797-2816, 2005. Preprint
  6. I.V. Chenchiah and K. Bhattacharya. Examples of nonlinear homogenization in plane strain involving degenerate energies. Proc. Royal Society London A, 461:3681-3703, 2005. Preprint
  7. Y. Xiao, V.B. Shenoy and K. Bhattacharya. Depletion layers and domain walls in semiconducting ferroelectric thin films. Phys. Rev. Lett. , 95:247603, 2005. Preprint

2004

  1. D. Shilo, G. Ravichandran, and K. Bhattacharya. Investigation of twin wall structure at the nanometer scale using atomic force microscopy. Nature Mat., 3: 453-457, 2004. Preprint
  2. K. Bhattacharya, S. Conti, G. Zanzotto and J. Zimmer. Symmetry and reversibility of martensitic transformations. Nature 428: 55-59, 2004. Preprint
  3. E. Burcsu, G. Ravichandran, K. Bhattacharya. Large electrostrictive actuation of barium titanate single crystals, J. Mech. Phys. Solids 52: 823-846, 2004. Preprint
  4. B. Craciun and K. Bhattacharya. Effective motion of a curvature sensitive interface through a heterogeneous medium. Inter. Free. Bound. 6:151-173, 2004.
  5. C. Huang, Q.M. Zhang, G. deBotton and K. Bhattacharya. All-organic dielectric-percolative three-component composite materials with high electromechanical response. Appl. Phys. Lett. 84: 4391-4393, 2004.
  6. Y. Xiao and K. Bhattacharya. 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 Proc. SPIE, Vol. 5387, 2004. Preprint
  7. K. Bhattacharya and A. Schlomerkemper. Transformation Yield Surface of Shape-Memory Alloys. Proc. 7th European Mechanics and Materials Conference (EMMC 7) (ed. F.D. Fischer, F.G. Rammerstoffer, C. Lexcellent and E. Patoor), J. Phys. IV 115 , 2004. Preprint
  8. K. Bhattacharya. Thin films of active materials. In Proceedings of the NATO Advanced Research Workshop on Nonlinear Homogenization and Its Application to Composites, Polycrystals and Smart Materials (ed. J.J. Telega), Kluwer, 15-44, 2004. Preprint

2003

  1. K. Bhattacharya. Microstructure of martensite. Why it forms and how it gives rise to the shape-memory effect, Oxford University Press, 2003. Updates
  2. K. Bhattacharya and G. Ravichandran. Ferroelectric perovskites for electromechanical actuation. Acta Mater. 51: 5941-5960, 2003. (Invited paper for the 50th anniversary volume of Acta Materialia). Preprint
  3. B. Craciun and K. Bhattacharya. Homogenization of a Hamilton-Jacobi equation associated with the geometric motion of an interface. Proceedings of the Royal Society Edinburgh A. 133:773-805, 2003. Preprint
  4. M. Jabbour and K.Bhattacharya. A continuum model of multispecies filnm growth by chemical vapor deposition. J. Elasticity 73: 13-74, 2003.
  5. P.K. Purohit and K. Bhattacharya. Dynamics of strings made of phase-transforming materials. J. Mech. Phys. Solids 51: 393-424, 2003. Preprint
  6. K. Bhattacharya, P. Purohit and B. Craciun. Mobility of Twin and Phase Boundaries. J. de Phys. IV Vol. 112 (Proc. ICOMAT-02), 163-166, 2003. Preprint
  7. R. Zhang, G. Ravichandran and K. Bhattacharya. Electromechanical characterization and domain visualization during large electrostriction in ferroelectrics. In Smart Structures and Materials 2003: Active Materials: Behavior and Mechanics (ed. D.C. Lagoudas), Proc. SPIE Vol. 5053, 2003.
  8. W. Zhang and K. Bhattacharya. Modeling large strain electrostriction of ferroelectrics under combined electromechanical loads. In Smart Structures and Materials 2003: Active Materials: Behavior and Mechanics (ed. D.C. Lagoudas), Proc. SPIE Vol. 5053, 2003. Preprint

2002

  1. P.K. Purohit and K. Bhattacharya. On beams made of a phase transforming material. Int. J. Solids Structures 39: 3907-3929, 2002. Preprint
  2. K. Bhattacharya and A. Braides. Thin Films with many small cracks. Proc. Royal Soc. London A 458:823-840, 2002. Preprint
  3. K. Bhattacharya, I. Fonseca and G.A. Francfort. An asymptotic study of the debonding of thin films. Arch. Rat. Mech. Anal. 161: 205-229, 2002. Preprint
  4. R.V. Kukta and K. Bhattacharya. A micromechanical model of surface steps. J. Mech. Phys. Solids 50: 615-649, 2002.
  5. E. Burcsu, G. Ravichandran, K. Bhattacharya. Observation of Domain Motion in Single-Crystal Barium Titanate Under Combined Electromechanical Loading Conditions. Proc. IUTAM Symposium on Mechanics of Martensitic Phase Transformations in Solids, Hong Kong (ed. Q.P. Sun), 63-70, Kluwer Academic Publishers, 2002. Preprint
  6. J. Li and K. Bhattacharya. A mesoscopic electromechanical theory of ferroelectric films and ceramics. In 2002 Workshop on Fundamental Physics of Ferroelectrics (ed. R.E. Cohen), 224-231, 2002. Preprint

2001

  1. R. Abeyaratne, K. Bhattacharya, and J.K. Knowles. Strain-energy functions with local minima: Modeling phase transformations using finite thermoelasticity. In Nonlinear elasticity: Theory and applications (ed. Y. Fu and R.W. Ogden), Cambridge University Press, 433-490, 2001. Preprint
  2. K. Bhattacharya and G. Dolzmann. Relaxation of some multiwell problems. Proc. Royal Soc. Edin. A 131A: 279-320, 2001. Preprint
  3. Y.C. Shu and K. Bhattacharya. Domain patterns and macroscopic behavior of ferroelectric materials. Phil Mag. B 81:2021-2054, 2001. Preprint
  4. K. Bhattacharya and J. Li. Domain patterns, texture and macroscopic electro-mechanical behavior of ferroelectrics. In 2001 Workshop on Fundamental Physics of Ferroelectrics (ed. H. Krakauer), AIP Conference Proceedings Vol 582, 72-81, 2001. Preprint
  5. E. Burcsu, G. Ravichandran and K. Bhattacharya. Electro-mechanical Behavior of 90-degree Domain Motion in Barium Titanate Single Crystals. In Smart Structures and Materials 2001: Active Materials: Behavior and Mechanics 9ed. C.S. Lynch), Proc. SPIE Vol. 4333, 121-130 SPIE, 2001.
  6. Y. Xiao and K. Bhattacharya. Modeling electromechanical properties of ionic polymers. In Proc. SPIE: Electroactive Polymers, Actuators and Devices - Smart Structures and Materials (ed. Y. Bar-Cohen), 292-300, SPIE, 2001. Preprint
  7. K. Bhattacharya, J. Li and Y. Xiao. Electro-mechanical models for optimal design and effective behavior of electro-active polymers. In Electroactive polymer (EAP) actuators as artificial muscles. Reality, potential and challenges (ed. Y. Bar-Cohen), SPIE Press, 309-330, 2001. Preprint

2000

  1. K. Bhattacharya and G. Dolzmann. Relaxed constitutive relations for phase-transforming materials. J. Mech. Phys. Solids 48:1493-1517, 2000. Preprint
  2. E. Burcsu, G. Ravichandran and K. Bhattacharya. Large strain electrostrictive actuation in barium titanate, Appl. Phys. Lett. 77: 1698-1700, 2000.
  3. N.K. Simha and K. Bhattacharya. Kinetics of phase boundaries with edges and junctions in a three-dimensional multi-phase body. J. Mech. Phys. Solids 48: 2619-2641, 2000. Preprint
  4. Y.C. Shu. Heterogeneous thin films of martensitic materials Arch. Rat. Mech. Anal.153: 39-90, 2000.
  5. E. Burcsu, G. Ravichandran and K. Bhattacharya. Mechanics of large electrostriction in ferroelectrics, In Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics (ed. C.S. Lynch) Proc. SPIE Vol. 3992: 296-304, SPIE, 2000.

Older

  1. K. Bhattacharya. Theory of martensitic microstructure and the shape-memory effect. Unpublished notes
  2. K. Bhattacharya. Energy minimization and nonlinear problems in polycrystalline solids. In Computer aided design of high temperature materials (ed. A. Pechenik, R.K. Kalia and P. Vaishishta) Oxford Univ. Press., 139-148, 1999.
  3. K. Bhattacharya. Crystallographic attributes of a shape-memory alloy. ASME J. Engng. Mat. Tech., 121: 93-97, 1999.
  4. K. Bhattacharya. Phase boundary propagation in heterogeneous bodies. Proc. Royal Soc. London A, 455:757-766, 1999.
  5. K. Bhattacharya, A. Desimone, K. Hane, R.D. James and C.P. Palmstrom. Tents and tunnels on martensitic films. Mat. Sci. Engng. A 273-275:685-689, 1999.
  6. K. Bhattacharya and R. D. James. A theory of thin films of martensitic materials with applications to microactuators. J. Mech. Phys. Solids 47: 531-576, 1999.
  7. K. Bhattacharya, R.D. James and G. Friesecke. The mathematics of microstructure and the design of new materials. Proc. National Acad. Sciences USA, 96: 8332-8333, 1999.
  8. K. Bhattacharya, R.V. Kohn and S. Kozlov. Some examples of nonlinear homogenization involving nearly degenerate energies. Proc. Royal Soc. London A 455: 567-583, 1999.
  9. K. Bhattacharya, B. Li and M. Luskin. The simply laminated microstructure in martensitic crystals that undergo a cubic to orthorhombic phase transformation. Arch. Rat. Mech. Anal, 149:123-154, 1999.
  10. R.V. Kukta and K. Bhattacharya. A 3-D model of step flow mediated crystal growth under the combined influences of stress and diffusion. Thin Solid Films, 357: 35-39, 1999.
  11. M. Jabbour and K. Bhattacharya. A multispecies step-flow model of growth of compound thin films by MOCVD. Thin Solid Films, 357:26-30, 1999.
  12. N.K. Simha and K. Bhattacharya. Edge effects on the propagation of phase boundaries. Mat. Sci. Engng. A 273-275: 241-244, 1999.
  13. K. Bhattacharya, R.V. Kohn and Y.C. Shu. The Taylor estimate of recoverable strain in shape-memory polycrystals. In The proceedings of the IUTAM symposium on `Transformation problems in composite and active materials' (ed. Y.A. Bahei-el-Din and G.J. Dvorak) Kluwer. 1998.
  14. K. Bhattacharya, M. Ortiz and G. Ravichandran. An energy-based model of compressive failure in inhomogeneous brittle solids. J. Mech. Phys. Solids 46: 2171-2181, 1998.
  15. N.K. Simha and K. Bhattacharya, Kinetics of phase boundaries with edges and junctions. J. Mech. Phs. Solids 46: 2323-2359, 1998.
  16. Y.C. Shu and K. Bhattacharya. The influence of texture on the shape-memory effect in polycrystals. Acta Mater. 46: 5457-5473, 1998.
  17. K. Bhattacharya and R.D. James. A theory of shape-memory thin films with applications. In Materials for smart systems II (ed. E.P. George et al.), MRS Proceedings Volume 459, 311-316, 1997.
  18. K. Bhattacharya, R.D. James and P.J. Swart. Relaxation in shape-memory alloys. Part I: Mechanical model. Acta Mater. 45: 4547-4560, 1997.
  19. K. Bhattacharya, R.D. James and P.J. Swart. Relaxation in shape-memory alloys. Part II: Thermo-mechanical model and proposed experiments. Acta Mater. 45: 4561-4568, 1997.
  20. K. Bhattacharya and R.V. Kohn. Energy minimization and the recoverable strains of polycrystalline shape-memory alloys. Arch. Rat. Mech. Anal 139: 99-180, 1997.
  21. N.K. Simha and K. Bhattacharya. Equilibrium conditions at corners and edges of an interface in a multiphase solid. Mat. Sci. Engng. A 238: 32-41, 1997.
  22. K. Bhattacharya. The kinematics of crossing twins. In Contemporary research in mechanics and mathematics of materials, Proceedings of a symposium in honor of J.L. Ericksen (ed. R.C. Batra and M.F. Beatty), CIMNE, 251-262, 1996.
  23. K. Bhattacharya and R.V. Kohn. Symmetry, texture and the recoverable strain of shape-memory polycrystals. Acta Mater. 44: 529-542, 1996.
  24. K. Bhattacharya. Shape-memory effect: implications of a theory of martensite microstructure. In Adaptive materials systems (ed. G. Carmen, N. Sottos and C. Lynch), ASME AMD - Vol.206: 97-109, 1995.
  25. K. Bhattacharya and R.V. Kohn. Recoverable strains in shape-memory polycrystals. J. de Phys.IV Colloque C8 5: 261-266, 1995.
  26. K. Bhattacharya, N.B. Firoozye, R.D. James and R.V. Kohn. Restrictions on microstructure. Proc. Royal Soc. Edin. A 124: 843-878, 1994. (Selected for a featured review in Mathematical Reviews)
  27. K. Bhattacharya, R.D. James and P.J. Swart. A nonlinear dynamic model for twin relaxation with applications to Au 47.5%Cd and other shape-memory alloys. In Twinning in advanced materials (ed. M.H. Yoo and M. Wuttig), The Minerals, Metals and Materials Society, 239-246, 1994.
  28. K. Bhattacharya and R.V. Kohn. The behavior of polycrystalline shape-memory materials. In Mechanics of phase transforamtions and shape-memory alloys (ed. L.C. Brinson and B. Moran), ASME AMD-Vol. 189: 1-10, 1994.
  29. K. Bhattacharya. The microstructure of martensite and its implications on the shape-memory effect. In Microstructure and phase transition (ed. D. Kinderlehrer, R.D. James and M. Luskin) IMA volumes in mathematics and its applications, Springer Verlag, 1-25, 1993.
  30. K. Bhattacharya. Comparison of the geometrically nonlinear and linear theories of martensitic transformation. Cont. Mech.Thermodyn. 5: 205-242, 1993.
  31. K. Bhattacharya and R.V. Kohn. Effective behavior of polycrystals of materials that undergo martensitic phase transformation. In Mathematics in smart structures (ed. H.T. Banks), SPIE proceedings series 1919: 207-213, 1993.
  32. K. Bhattacharya. Self-accommodation in martensite. Arch. Rat. Mech. Anal.120: 201-244, 1992.
  33. K. Bhattacharya. Linear and nonlinear thermoelasticity theory for crystalline solids. In Recent developments in elasticity (ed. R.C. Batra and G.P.MacSithigh) ASME AMD-Vol 124: 5-12, 1991.
  34. K. Bhattacharya. Korn's inequality for sequences. Proc.Royal Soc. London A 434: 479-484, 1991.
  35. K. Bhattacharya. Wedge-like microstructure in martensites. Acta Metall.Mater. 39: 2431-2444, 1991.