2010 |
2009 |
2008 |

# 2010

- P. Suryanarayana, V. Gavini, T. Blesgen K. Bhattacharya and M. Ortiz. Non-periodic niteelement formulation of Kohn-Sham Density Functional Theory.
*J. Mech. Phys. Solids***58**:256-280, 2010 PDF file - K. Bhattacharya and A. Schlomerkemper, Stress-induced phase transformations in shape-memory polycrystals,
*Arch. Rat. Mech. Anal*..**196**: 715-751, 2010 - H-Y. Kuo, A. Slinger and K. Bhattacharya. Optimization of magnetoelectricity in piezoelectricmagnetostrictive bilayers, Smart Materials and Structures
**19**: 2010

# 2009

- S. Givli and K. Bhattacharya. A coarse-grained model of the myofibril: Overall dynamics and the evolution of sarcomere non-uniformities.
*J. Mech. Phys. Solids*, 57: 221-243, 2009. PDF file - J.S. Biggins, M. Warner and K. Bhattacharya. Super-soft elasticity in polydomain nematic elastomers.
*Phys. Rev. Lett*.**103**: 037802, 2009. PDF file - L. Ponson, K. Diest, H.A. Atwater, G. Ravichandran and K. Bhattacharya. Competing failure mechanisms in thin films: Application to layer transfer
*J. Appl. Phys.*,**105**: 073514, 2009. PDF file - S. Daly, D. Rittel, K. Bhattacharya and G. Ravichandran. Large deformation of Nitinol under shear deformation.
*Expt. Mech*.,**49**: 225-233, 2009. PDF file - S. Bolyard-Kramer, M. Mello, K. Bhattacharya and G. Ravichandran. Phase Shifting Full-Field Interferometric Methods for Determination of In-Plane Tensorial Stress.
*Expt. Mech*.,**49**: 303-315, 2009. - S. Bolyard-Kramer, M. Mello, K. Bhattacharya and G. Ravichandran. Transmission Wavefront Shearing Interferometry for Photoelastic Materials
*Appl. Optics*.**48**: 2450-2460, 2009. - L.P. Liu and K. Bhattacharya. Wave propagation in a sandwich structure.
*Int. J. Solids Struct*.,**46**: 3290-3300, 2009. PDF file - J.S. Biggins and K. Bhattacharya. Characterization of soft stripe-domain deformations in SmC and SmC* liquid-crystal elastomers.
*Phys. Rev. E***79**: 061705, 2009. PDF file - P.W. Dondl and K. Bhattacharya. A sharp interface model for the propagation of martensitic phase boundaries.
*Arch. Rat. Mech. Anal.*, to appear, 2009. Preprint - P.W. Dondl and K. Bhattacharya. Effective behavior of an interface propagating through a periodic elastic medium. Submitted, 2009.
- L.P. Liu and K. Bhattacharya. Existence of surface waves in periodic heterogeneous half-spaces. Submitted, 2009.

# 2008

- I. V. Chenchiah and K. Bhattacharya. The relaxation of two-well energies with possibly unequal moduli.
*Arch. Rat. Mech. Anal.*, 187: 409-479, 2008. PDF file - Y. Xiao and K. Bhattacharya. A continuum theory of deformable, semiconducting ferroelectrics.
*Arch. Rat. Mech. Anal.*, 189: 59-95, 2008. PDF file - L. Liu. Solutions to the Eshelby conjectures.
*Proc. Royal Society London A*464: 573-594, 2008. PDF file - M.J. Dicken, L.A Sweatlock, D. Pacifici, H.J. Lezec, K. Bhattacharya and H.A. Atwater. Electrooptic modulation in thin film Barium Titanate plasmonic interferometers
*Nano Lett*., 11: 4048-4052, 2008. PDF file

# 2007

- 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. PDF file - 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. PDF file - 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. PDF file - A. Sadjadpour and K. Bhattacharya. A micromechanics inspired constitutive model for shape-memory alloys.
*Smart Mat. Struct*., 16:1751-1765, 2007. PDF file - 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. PDF file - 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. PDF file - S. Daly, G. Ravinchandran and K. Bhattacharya. Stress-induced martensitic phase transformation in thin sheets of Nitinol.
*Acta Mat.*, 55:3593-3600, 2007. PDF file - 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 - 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 - 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 - L. Liu, R. James and P. Leo. New extremal inclusions and their applications to two-phase composites. 2007. Submitted. Preprint
- L. Liu. Hashin-Shtrikman bounds for multiphase composites and their attainability. 2007. Submitted. Preprint
- V. Gavini, K. Bhattacharya and M. Ortiz. Vacancy clustering and prismatic dislocation loop formation in aluminum.
*Physical Rev. B.*76:180101-4, 2007. Preprint - 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

- 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 - 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 - 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 - 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 - 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

- K. Bhattacharya and R.D. James.
The material is the machine.
*Science*, 307:53-54, 2005. Article - J.Y. Li, R.C. Rogan, E. Ustundag and K. Bhattacharya.
Domain switching in polycrystalline ferroelectric ceramics.
*Nature Materials*, 4:776-781, 2005. - 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 - 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 - 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 - 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 - 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

- 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 - K. Bhattacharya, S. Conti, G. Zanzotto and J. Zimmer.
Symmetry and reversibility of martensitic transformations.
*Nature*428: 55-59, 2004. Preprint - E. Burcsu, G. Ravichandran, K. Bhattacharya.
Large electrostrictive actuation of barium titanate single crystals,
*J. Mech. Phys. Solids*52: 823-846, 2004. Preprint - B. Craciun and K. Bhattacharya.
Effective motion of a curvature sensitive interface through a heterogeneous medium.
*Inter. Free. Bound.*6:151-173, 2004. - 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. - 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 - 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 - 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

- K. Bhattacharya.
*Microstructure of martensite. Why it forms and how it gives rise to the shape-memory effect*, Oxford University Press, 2003. Updates - 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 - 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 - M. Jabbour and K.Bhattacharya.
A continuum model of multispecies filnm growth by chemical vapor deposition.
*J. Elasticity*73: 13-74, 2003. - P.K. Purohit and K. Bhattacharya.
Dynamics of strings made of phase-transforming materials.
*J. Mech. Phys. Solids*51: 393-424, 2003. Preprint - 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 - 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. - 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

- P.K. Purohit and K. Bhattacharya.
On beams made of a phase transforming material.
*Int. J. Solids Structures*39: 3907-3929, 2002. Preprint - K. Bhattacharya and A. Braides.
Thin Films with many small cracks.
*Proc. Royal Soc. London A*458:823-840, 2002. Preprint - 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 - R.V. Kukta and K. Bhattacharya.
A micromechanical model of surface steps.
*J. Mech. Phys. Solids*50: 615-649, 2002. - 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 - 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

- 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 - K. Bhattacharya and G. Dolzmann.
Relaxation of some multiwell problems.
*Proc. Royal Soc. Edin. A*131A: 279-320, 2001. Preprint - Y.C. Shu and K. Bhattacharya.
Domain patterns and macroscopic behavior of ferroelectric materials.
*Phil Mag. B*81:2021-2054, 2001. Preprint - 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 - 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. - 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 - 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

- K. Bhattacharya and G. Dolzmann.
Relaxed constitutive relations for phase-transforming materials.
*J. Mech. Phys. Solids*48:1493-1517, 2000. Preprint - E. Burcsu, G. Ravichandran and K. Bhattacharya.
Large strain electrostrictive actuation in barium titanate,
*Appl. Phys. Lett.*77: 1698-1700, 2000. - 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 - Y.C. Shu.
Heterogeneous thin films of martensitic materials
*Arch. Rat. Mech. Anal.*153: 39-90, 2000. - 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

- K. Bhattacharya. Theory of martensitic microstructure and the shape-memory effect. Unpublished notes
- 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. - K. Bhattacharya. Crystallographic attributes of a shape-memory alloy.
*ASME J. Engng. Mat. Tech.*, 121: 93-97, 1999. - K. Bhattacharya. Phase boundary propagation in heterogeneous bodies.
*Proc. Royal Soc. London A*, 455:757-766, 1999. - 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. - 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. - 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. - 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. - 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. - 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. - 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. - N.K. Simha and K. Bhattacharya. Edge effects on the propagation of phase boundaries.
*Mat. Sci. Engng. A*273-275: 241-244, 1999. - 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. - 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. - N.K. Simha and K. Bhattacharya, Kinetics of phase boundaries with edges and junctions.
*J. Mech. Phs. Solids*46: 2323-2359, 1998. - Y.C. Shu and K. Bhattacharya. The influence of texture on the shape-memory effect in polycrystals.
*Acta Mater.*46: 5457-5473, 1998. - 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. - K. Bhattacharya, R.D. James and P.J. Swart. Relaxation in shape-memory alloys. Part I: Mechanical model.
*Acta Mater.*45: 4547-4560, 1997. - 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. - 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. - 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. - 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. - K. Bhattacharya and R.V. Kohn. Symmetry, texture and the recoverable strain of shape-memory polycrystals.
*Acta Mater.*44: 529-542, 1996. - 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. - K. Bhattacharya and R.V. Kohn. Recoverable strains in shape-memory polycrystals.
*J. de Phys.IV Colloque*C8 5: 261-266, 1995. - 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) - 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. - 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. - 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. - K. Bhattacharya. Comparison of the geometrically nonlinear and linear
theories of martensitic transformation.
*Cont. Mech.Thermodyn.*5: 205-242, 1993. - 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. - K. Bhattacharya. Self-accommodation in martensite.
*Arch. Rat. Mech. Anal.*120: 201-244, 1992. - 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. - K. Bhattacharya. Korn's inequality for sequences.
*Proc.Royal Soc. London A*434: 479-484, 1991. - K. Bhattacharya. Wedge-like microstructure in martensites.
*Acta Metall.Mater.*39: 2431-2444, 1991.