Publications

In Press/Accepted/Submitted

• Amit Acharya Mid-surface scaling invariance of some bending strain measures, to appear in Journal of Elasticity, 2024.

• Uditnarayan Kouskiya, Amit Acharya Inviscid Burgers as a degenerate elliptic problem, to appear in Quarterly of Applied Mathematics, 2024.

• Siddharth Singh, Janusz Ginster, Amit Acharya A Hidden Convexity of Nonlinear Elasticity, 2024.

• Abhishek Arora, Amit Acharya Emergent fault friction and supershear in a continuum model of geophysical rupture, 2023.

• Amit Acharya Ideal magnetohydrodynamics and field dislocation mechanics, to appear in Pure and Applied Functional Analysis, 2023.

• Syed Ansari, Amit Acharya, Alankar Alankar An experimentally informed continuum grain boundary model, to appear in Mathematics and Mechanics of Solids, 2023.

• Amit Acharya, Ambar N. Sengupta Variational principle for a damped, quadratically interacting particle chain with nonconservative forcing, to appear in Springer Proceedings in Mathematics and Statistics, Proceedings of the Conference on Continuum Mechanics and Discrete Systems 14, ed. A. Cherkaev, D. Jeulin, J. Dirrenberger, S. Forest, F. Willot, 2023.

• Amit Acharya Coupled dislocations and fracture dynamics at finite deformation: model derivation and physical questions, to appear in volume in honor of Prof. Nasr Ghoniem in Journal of Materials Science: Materials Theory (2024).

• Amit Acharya A Hidden Convexity in Continuum Mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity, 2023

• Amit Acharya, Ambar N. Sengupta Action principles for dissipative, non-holonomic Newtonian mechanics, to appear in the Proceedings of the Royal Society A, Mathematical, Physical, & Engineering Sciences, 2024.

• Uditnarayan Kouskiya, Amit Acharya Hidden convexity in the heat, linear transport, and Euler’s rigid body equations: A computational approach, to appear in Quarterly of Applied Mathematics, 2023.

Published: (all pdfs are very close to the final published version)

1. Siddharth Singh, He Liu, Rajat Arora, Robert M. Suter, Amit acharya (2023) Micromechanical modeling of experimentally observed topological defects inside bulk polycrystals, Modelling and Simulation in Materials Science and Engineering, 31, 085007.

2. Amit Acharya, Irene Fonseca, Likhit Ganedi, Kerrek Stinson (2023) Vector field models for nematic disclinations, Journal of Nonlinear Science, 33:85.

3. Abhishek Arora, Rajat Arora, Amit Acharya (2023) Interface-dominated plasticity and kink bands in metallic nanolaminates, Crystals, 13, 828.

4. Amit Acharya (2023) A dual variational principle for nonlinear dislocation dynamics, Journal of Elasticity, 154:383-395.

5. Saptarshi Saha, Amit Acharya, Gerald J. Wang (2022) TADA: The Topology-Accommodating Direction Assignment Algorithm for Liquid Crystals, Journal of Chemical Theory and Computation, 19, 324-332.

6. Amit Acharya, Marshall Slemrod (2023) Existence, uniqueness, and long-time behavior of linearized field dislocation dynamics, Quarterly of Applied Mathematics, LXXXI (2), 247-258.

7. Amit Acharya (2023) Variational principles for nonlinear PDE systems via duality, Quarterly of Applied Mathematics, LXXXI, 127-140. Article electronically published on September 26, 2022.

8. Amit Acharya, Luiza Angheluta, and Jorge Vinals (2022) Elasticity versus phase field driven motion in the Phase Field Crystal model, in the Focus Issue on Phase Field Crystal Modelling in Materials Science, Modelling and Simulation in Materials Science and Engineering, 30, 064005.

9. Abhishek Arora, Rajat Arora, Amit Acharya (2022) Mechanics of micropillar confined thin film plasticity, Acta Materialia, 238, 118192.

10. Janusz Ginster, Amit Acharya (2022) Rotations with constant curl are constant, Archive for Rational Mechanics and Analysis, 244, 761-777.

11. Amit Acharya (2021) An action for nonlinear dislocation dynamics, Journal of the Mechanics and Physics of Solids, 161, 104811.

12. Léo Morin, Amit Acharya (2021) Analysis of a model of field crack mechanics for brittle materials, Computer Methods in Applied Mechanics and Engineering, 386, 114061.

13. Chiqun Zhang, Amit Acharya, Alan C. Newell, Shankar C. Venkataramani (2021) Computing with non-orientable defects: nematics, smectics and natural patterns, Physica D: Nonlinear Phenomena, 417, 132828.

14. Sabyasachi Chatterjee, Amit Acharya (2020) How useful are formal hierarchies? A case study on averaging dislocation dynamics to define meso-macro plasticity, International Journal of Multiscale Computational Engineering,18(5), 587-610.

15. Amit Acharya (2020) A possible link between brittle and ductile failure by viewing fracture as a topological defect, Comptes Rendus Mécanique, 348(4), 275-284.

16. Amit Acharya, Jorge Viñals (2020) Field Dislocation Mechanics and Phase Field Crystal models, Physical Review B, 102, 064109.

17. Rajat Arora, Amit Acharya (2020) A unification of finite deformation J2 Von-Mises plasticity and quantitative dislocation mechanics, Journal of the Mechanics and Physics of Solids, 143, 104050.

18. Sabyasachi Chatterjee, Giacomo Po, Xiaohan Zhang, Amit Acharya, Nasr Ghoniem (2020) Plasticity without phenomenology: a first step, Journal of the Mechanics and Physics of Solids, 143, 104059.

19. Rajat Arora, Xiaohan Zhang, Amit Acharya (2020) Finite Element Approximation of Finite Deformation Dislocation Mechanics, Computer Methods in Applied Mechanics and Engineering, 367, 113076.

20. Amit Acharya, Shankar C. Venkataramani (2020) Mechanics of moving defects in growing sheets: 3-d, small deformation theory, Materials Theory, 4:2.

21. Rajat Arora, Amit Acharya (2020) Dislocation pattern formation in finite deformation crystal plasticity, International Journal of Solids and Structures (invited contribution for special issue in honor of Dominique Jeulin), 184, 114-135 (electronically published, February 26, 2019).

22. Amit Acharya, Roger Fosdick (2019) Some preliminary observations on a defect Navier-Stokes system, Comptes Rendus Mecanique, 347, 677-684.

23. Amit Acharya (2019) Stress of a spatially uniform dislocation density field, Journal of Elasticity, 137, 151-155. (electronically published, January 7, 2019)

24. Amit Acharya, Robin J. Knops, Jeyabal Sivaloganathan (2019) On the structure of linear dislocation field theory, Journal of the Mechanics and Physics of Solids, 130, 216-244.

25. Amit Acharya (2019) A design principle for actuation of nematic glass sheets, Journal of Elasticity, 136, 237-249 (electronically published, September 19, 2018).

26. Amit Acharya (2019) On Weingarten-Volterra defects, Journal of Elasticity, 34, 79-101, https://doi.org/10.1007/s10659-018-9681-6.

27. Chiqun Zhang and Amit Acharya (2018) On the relevance of generalized disclinations in defect mechanics, Journal of the Mechanics and Physics of Solids, 119, 188-223.

28. Chiqun Zhang, Amit Acharya, and Saurabh Puri. (2018) Finite element approximation of fields of bulk and interfacial line defects, Journal of the Mechanics and Physics of Solids, 114, 258-302.

29. Amit Acharya. (2018) Fracture and singularities of the mass-density gradient field, Journal of Elasticity, 132, 243-260. (electronically published, January 2, 2018).

30. Amit Acharya, Robin J. Knops. (2018) The Filon construct for moving dislocations, Journal of Engineering Mathematics, 109, 239-257.

31. Chiqun Zhang, Amit Acharya, Noel Walkington, and Oleg Lavrentovich, (2018) Computational modeling of tactoid dynamics in chromonic liquid crystals, Liquid Crystals, 45, 1084-1100, (Electronically published on Dec 13, 2017).

32. Sabyasachi Chatterjee, Amit Acharya, and Zvi Artstein. (2018) Computing singularly perturbed differential equations, Journal of Computational Physics, 354, 417-436. (electronically published on Oct. 23, 2017).

33. Amit Acharya, Gui-Qiang Chen, Siran Li, Marshall Slemrod, and Dehua Wang. (2017) Fluids, Elasticity, Geometry, and the existence of wrinkled solutions, Archive for Rational Mechanics and Analysis, 226, 1009-1060.

34. Amit Acharya and Michael Widom, (2017) A microscopic continuum model for defect dynamics in metallic glasses, Journal of the Mechanics and Physics of Solids, 104, 1-11.

35. Chiqun Zhang, Xiaohan Zhang, Amit Acharya, Dmitry Golovaty, and Noel Walkington. (2017) A non-traditional view on the modeling of nematic disclination dynamics. Quarterly of Applied Mathematics, LXXV, 309-357. (electronically published on August 18, 2016).

36. Amit Acharya, Marta Lewicka, and Mohammad Reza Pakzad (2016) The metric-restricted inverse design problem, Nonlinearity, 29, 1769-1797.

37. Amit Das, Amit Acharya, Pierre Suquet (2016) Microstructure in plasticity without nonconvexity, Computational Mechanics, 57, 387-403.

38. Xiaohan Zhang, Amit Acharya, Noel J. Walkington, Jacobo Bielak, (2015) A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations, Journal of the Mechanics and Physics of Solids, 84, 145-195.

39. Acharya, A. Fressengeas, C., (2015) Continuum mechanics of the interaction of phase boundaries and dislocations in solids, in Differential Geometry and Continuum Mechanics, Ed: G. Q Chen, M. Grinfeld, R.J. Knops, Springer Proceedings in Mathematics & Statistics, vol, 137, 125-168,

40. Acharya, A., and Zhang, X., (2015) From dislocation motion to an additive velocity gradient decomposition, and some simple models of dislocation dynamics, Chinese Annals of Mathematics, 36B(5), 645-658.

41. Pourmatin, H., Acharya, A., Dayal, K, (2015) A fundamental Improvement to Ericksen-Leslie kinematics, Quarterly of Applied Mathematics, LXXXIII,3,435-466.

42. Garg, A., Acharya, A., Maloney, C. E., (2014) A study of conditions for dislocation nucleation in coarser-than-atomistic scale models, Journal of the Mechanics and Physics of Solids, 75, 76-92.

43. Brenner, R., Beaudoin, A. J., Suquet, P., Acharya, A., (2014) Numerical implementation of static Field Dislocation Mechanics theory for periodic media, Philosophical Magazine A, 94, 1764-1787, 2014.

44. Acharya, A., Knops, R. J., (2014) An observation on the experimental measurement of dislocation density, Journal of Elasticity, 114, 275-279.

45. Zhu, Y., Chapman, S. J., Acharya, A., (2013) Dislocation motion and instability, Journal of the Mechanics and Physics of Solids, 65, 1835-1853.

46. Tan, L., Acharya, A., Dayal, K. (2014) Modeling of slow time-scale behavior of fast molecular dynamic systems, Journal of the Mechanics and Physics of Solids, 64, 24-43.

47. Acharya, A., Dayal, K. (2014) Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers, Quarterly of Applied Mathematics, LXXII(1), 33-64.

48. Tan, L., Acharya., A., Dayal, K. (2013) Coarse variables of autonomous ODE systems and their evolution, Computer Methods in Applied Mechanics and Engineering, 253, 199-218.

49. Das, A., Acharya, A., Zimmer, J., Matthies, K. (2013) Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics, Mathematics and Mechanics of Solids, 18, 801-820.

50. Acharya, A., Knops. R.J. (2012) On the three-dimensional Filon construct for dislocations, International Journal of Engineering Science, 59, 6-26.

51. Acharya, A., Fressengeas, C. (2012) Coupled phase transformations and plasticity as a field theory of deformation incompatibility. International Journal of Fracture, 174, 87-94.

52. Slemrod, M., Acharya, A. (2012) Time-averaged coarse variables for multi-scale dynamics.Quarterly of Applied Mathematics, LXX, 793-803.

53. Acharya, A., Tartar, L. (2011) On an equation from the theory of field dislocation mechanics, Bulletin of the Italian Mathematical Union, (9)IV, 409-444.

54. Acharya, A. (2011) Microcanonical entropy and mesoscale dislocation mechanics and plasticity, Journal of Elasticity, 104, 23-44.

55. Puri, S., Das, A., Acharya, A. (2011) Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics, Journal of the Mechanics and Physics of Solids, 59, 2400-2417.

56. Puri, S., Acharya, A., Rollett, A. (2011) Controlling Plastic Flow across Grain Boundaries in a Continuum Model, Metallurgical and Materials Transactions A, 42(A), 669-675.

57. Fressengeas, C., Acharya, A., Beaudoin, A. J., (2010) Dislocation mediated continuum plasticity: case studies on modeling scale-dependence, scale-invariance, and directionality of sharp yield point, in Computational methods for microstructure-property relationships, ed. Ghosh-Dimiduk, Springer, 277-309.

58. Acharya, A., Matthies, K., Zimmer, J. (2010) Travelling wave solutions for a quasilinear model of field dislocation mechanics, Journal of the Mechanics and Physics of Solids, 58, 2043-2053.

59. Acharya, A. (2010) New inroads in an old subject: Plasticity, from around the atomic to the macroscopic scale, Journal of the Mechanics and Physics of Solids, 58, 766-778.

60. Mach, J. C., Beaudoin, A. J., Acharya, A. (2010) Continuity in the plastic strain rate and its influence on texture evolution, Journal of the Mechanics and Physics of Solids, 58, 105-128.

61. Puri, S., Roy, A., Acharya, A., Dimiduk, D. (2009) Modeling dislocation sources and size effects at initial yield in continuum plasticity, Journal of Mechanics of Materials and Structures, 4(9), 1603-1618.

62. Acharya, A. (2010) Coarse-graining autonomous ODE systems by inducing a separation of scales: Practical strategies and mathematical questions, (2009) Mathematics and Mechanics of Solids, 15, 342-352.

63. Acharya, A. (2009) On the use of thermodynamic formalism in generalized continuum theories and a mesoscopic model for damage evolution, ASCE Journal of Engineering Mechanics, 135(3), 171-177.

64. Taciroglu, E., Acharya, A., Namazifard, A., Parsons, I. D. (2009) Arbitrary Lagrangian-Eulerian methods for analysis of regressing solid domains and interface tracking, Computers and Structures, 87, 355-367.

65. Acharya, A., Beaudoin, A. J., Miller, R. E. (2008) New perspectives in plasticity theory: Dislocation nucleation, waves, and partial continuity of plastic strain rate, Mathematics and Mechanics of Solids, 13, 292-315.

66. Acharya, A. (2007) On the choice of coarse variables for dynamics, International Journal for Multiscale Computational Engineering, 5, 483-489.

67. Acharya, A. (2007) Jump condition on GND evolution as a constraint on slip transmission at grain boundaries, Philosophical Magazine, 87, 1349-1359.

68. Roy, A., Puri, S., Acharya, A. (2007) Phenomenological Mesoscopic Field Dislocation Mechanics, Lower-Order Gradient Plasticity, and transport of mean excess dislocation density, Modelling and Simulation in Materials Science and Engineering, 15, S167-S180.

69. Varadhan, S. V., Beaudoin, A. J., Acharya, A., Fressengeas, C. (2006) Dislocation transport using and explicit Galerkin/least-squares formulation, Modelling and Simulation in Materials Science and Engineering, 14, 1245-1270.

70. Acharya, A., Sawant, A. (2006) On a computational approach for the aproximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of consitutive laws of the rate type, Journal of the Mechanics and Physics of Solids, 54, 2183-2213.

71. Sawant, A., Acharya, A. (2006) Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples, Computer Methods in Applied Mechanics and Engineering, 195, 6287-6311.

72. Roy, A., Acharya, A. (2006) Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of Mesoscopic Field Dislocation Mechanics: Part II, Journal of the Mechanics and Physics of Solids, 54, 1711-1743.

73. Acharya, A., Roy, A. (2006) Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I, Journal of the Mechanics and Physics of Solids, 54, 1687-1710.

74. Acharya, A, Roy, A., Sawant, A. (2006) Continuum theory and methods for coarse-grained, mesoscopic plasticity, In: Viewpoint Set on Statistical Mechanics and coarse graining of dislocation behavior for continuum plasticity, Scripta Materialia, 54, 705-710.

75. Acharya, A. (2005) Parametrized invariant manifolds: a recipe for multiscale modeling? Computer Methods in Applied Mechanics and Engineering, 194, 3067-3089.

76. Tang, H., Acharya, A., Saigal, S. (2005) Directional dependence of crack growth along the interface of a bicrystal with symmetric tilt boundary in the presence of gradient effects, Mechanics of Materials, 37, 593-606.

77. Tang, H., Choi, Y. S., Acharya, A., and Saigal, S. (2004) Effects of lattice incompatibility induced hardening on the fracture behavior of ductile single crystals, Journal of the Mechanics and Physics of Solids, 52, 2841-2867.

78. Roy, A. and Acharya, A. (2005) Finite element approximation of field dislocation mechanics, Journal of the Mechanics and Physics of Solids, 53, 143-170.

79. Miller, R. E., and Acharya, A. (2004) A stress-gradient based criterion for dislocation nucleation in crystals, Journal of the Mechanics and Physics of Solids, 52, 1507-1525.

80. Acharya, A., Tang, H., Saigal, S., and Bassani, J. L. (2004) On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity, Journal of the Mechanics and Physics of Solids, 52, 1793-1826.

81. Acharya, A. (2004) Constitutive Analysis of finite deformation field dislocation mechanics, Journal of the Mechanics and Physics of Solids, 52, 301-316.

82. Acharya, A. (2003) Driving forces and boundary conditions in continuum dislocation mechanics, Proceedings of the Royal Society, A, 459, 1343-1363.

83. Acharya, A., Bassani, J. L., and Beaudoin, A. J. (2003) Geometrically necessary dislocations, hardening, and a Simple gradient theory of crystal plasticity, In: Viewpoint Set on Geometrically necessary dislocations and size dependent plasticity, Scripta Materialia, 48, 167-172.

84. Beaudoin, A. J. and Acharya, A. (2001) A model for rate-dependent flow of metal polycrystals based on the slip plane lattice incompatibility, Materials Science and Engineering, A-309-310, 411-415.

85. Acharya, A. (2001) A model of crystal plasticity based on the theory of continuously distributed dislocations, Journal of the Mechanics and Physics of Solids, 49, 761-784.

86. Acharya, A. and Bassani, J. L. (2000) Lattice incompatibility and a gradient theory of crystal plasticity, Journal of the Mechanics and Physics of Solids, 48, 1565-1595.

87. Acharya, A. and Beaudoin, A. J. (2000) Grain-size effect in FCC viscoplastic polycrystals at moderate strains, Journal of the Mechanics and Physics of Solids, 48, 2213-2230.

88. Beaudoin, A. J., Acharya, A., Chen, S. R., Korzekwa, D. A. and Stout, M. G. (2000) Consideration of grain-size effect and kinetics in the plastic deformation of metal polycrystals, Acta Materialia, 48, 3409-3423.

89. Acharya, A. (2000) A nonlinear generalization of the Koiter-Sanders-Budiansky bending strain measure, International Journal of Solids and Structures, 37, 5517-5528.

90. Acharya, A. (2000) A distinct element approach to Ball Mill mechanics, Communications in Numerical Methods in Engineering, 16, 743-753.

91. Acharya, A. (1999) On compatibility conditions for a Left Cauchy-Green strain field in 3-dimensions, Journal of Elasticity, 56, 95-105.

92. Acharya, A., Cherukuri, H. P. and Govindarajan, R. M. (1999) A new proposal in gradient plasticity: theory and application in 1-d quasi-statics and dynamics, Mechanics of Cohesive-Frictional Materials, 4, 153-170.

93. Acharya, A. and Shawki, T. G. (1996) The Clausius-Duhem inequality and the structure of rate-independent plasticity, International Journal of Plasticity, 229-238.

94. Acharya, A. and Shawki, T. G. (1995) Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior, Journal of the Mechanics and Physics of Solids, 1751-1772.

95. Elementary observations on the averaging of dislocation mechanics: dislocation origin of aspects of anisotropic yield and plastic spin, In: Linking Scales in Computations: From Microstructure to Macro-scale Properties, Procedia IUTAM. With S. Jonathan Chapman (2011)

96. A counterpoint to Cermelli and Gurtin’s criteria for choosing the ‘correct’ geometric dislocation tensor in finite plasticity. IUTAM Symposium on Theoretical, Computational, and Modelling Aspects of Inelastic Media, Cape Town, S. Africa, (2007).

97. Acharya, A. and Beaudoin, A. J. (1999) Consideration of lattice incompatibility in the evolution of hardening, Proceedings of the Twelfth International Conference on Textures of Materials, National Research Council of Canada Press.

98. Parsons, I. D. P., Acharya, A., Alavilli, P., Fiedler, R., Jiao, X., and Namazifard, A. (2000) Coupled simulation of solid rocket motors, AIAA paper 2000-3456, 36th. AIAA/ASME/SAE/ASEE Joint propulsion conference and exhibit, Huntsville, Al.

99. Parsons, I. D. P., Alavilli, P. V. S., Namazifard, A., Acharya, F. Najjar, D. Tafti, and X. Jiao (1999) Loosely coupled simulations of solid rocket motors, 5th. National Congress on Computational Mechanics (USACM), Boulder, Colorado, August.

100. Yin, L., Acharya, A., Sobh, N., Haber, R. B. and Tortorelli, D. A. (1999) A space-time discontinuous Galerkin method for elastodynamic analysis, in Discontinuous Galerkin Methods: Theory, Computation and Applications, Ed. B. Cockburn, G. Karriadakis and C. W. Shu, Lecture Notes in Computational Science and Engineering, 11, 459-464, Springer Verlag.

101. Acharya, A. and Bassani, J. L. (1996) On non-local theories that preserve the classical structure of incremental boundary value problems, in IUTAM symposium on Micromechanics of Plasticity and Damage of Multiphase Materials, Ed. A. Pineau and A. Zaoui, 3-9, Kluwer Academic Publishers.

102. Acharya, A. and Bassani, J. L. (1995) Incompatible lattice deformations and crystal plasticity, in Plastic and Fracture Instabilities, AMD-vol. 200/MD-vol. 57, 75-80, ASME.