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Author ID: acharya.amit Recent zbMATH articles by "Acharya, Amit"
Published as: Acharya, Amit; Acharya, A.
Homepage: https://faculty.ce.cmu.edu/acharya/
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 624 times in 316 Documents Cited by Year
Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010
Acharya, A.; Bassani, J. L.
132
2000
A model of crystal plasticity based on the theory of continuously distributed dislocations. Zbl 1017.74010
Acharya, Amit
62
2001
Grain-size effect in viscoplastic polycrystals at moderate strains. Zbl 0958.74013
Acharya, A.; Beaudoin, A. J.
46
2000
Constitutive analysis of finite deformation field dislocation mechanics. Zbl 1106.74315
Acharya, Amit
34
2004
Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I. Zbl 1120.74328
Acharya, Amit; Roy, Anish
28
2006
Driving forces and boundary conditions in continuum dislocation mechanics. Zbl 1041.74014
Acharya, Amit
27
2003
Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. II. Zbl 1120.74333
Roy, Anish; Acharya, Amit
23
2006
Finite element approximation of field dislocation mechanics. Zbl 1134.74413
Roy, Anish; Acharya, Amit
21
2005
A space-time discontinuous Galerkin method for elastodynamic analysis. Zbl 1041.74553
Yin, Lin; Acharya, Amit; Sobh, Nahil; Haber, Robert B.; Tortorelli, Daniel A.
16
2000
A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations. Zbl 1481.74097
Zhang, Xiaohan; Acharya, Amit; Walkington, Noel J.; Bielak, Jacobo
14
2015
On an equation from the theory of field dislocation mechanics. Zbl 1233.35186
Acharya, Amit; Tartar, Luc
13
2011
New inroads in an old subject: plasticity, from around the atomic to the macroscopic scale. Zbl 1244.74026
Acharya, Amit
13
2010
Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior. Zbl 0876.73023
Acharya, A.; Shawki, T. G.
11
1995
New perspectives in plasticity theory: dislocation nucleation, waves, and partial continuity of plastic strain rate. Zbl 1161.74325
Acharya, Amit; Beaudoin, Armand; Miller, Ron
10
2008
A stress-gradient based criterion for dislocation nucleation in crystals. Zbl 1065.74017
Miller, Ronald E.; Acharya, Amit
10
2004
Travelling wave solutions for a quasilinear model of field dislocation mechanics. Zbl 1225.74012
Acharya, Amit; Matthies, Karsten; Zimmer, Johannes
9
2010
On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type. Zbl 1120.74308
Acharya, Amit; Sawant, Aarti
9
2006
On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity. Zbl 1061.74010
Acharya, Amit; Tang, Huang; Saigal, Sunil; Bassani, John L.
9
2004
Microcanonical entropy and mesoscale dislocation mechanics and plasticity. Zbl 1320.74010
Acharya, Amit
9
2011
From dislocation motion to an additive velocity gradient decomposition, and some simple models of dislocation dynamics. Zbl 1329.74048
Acharya, Amit; Zhang, Xiaohan
7
2015
Model reduction via parametrized locally invariant manifolds: Some examples. Zbl 1119.70003
Sawant, Aarti; Acharya, Amit
6
2006
A counterpoint to Cermelli and Gurtin’s criteria for choosing the ‘Correct’ geometric dislocation tensor in finite plasticity. Zbl 1209.74017
Acharya, Amit
6
2008
Effects of lattice incompatibility-induced hardening on the fracture behavior of ductile single crystals. Zbl 1115.74305
Tang, H.; Choi, Y. S.; Acharya, A.; Saigal, S.
6
2004
Parametrized invariant manifolds: a recipe for multiscale modeling? Zbl 1091.70012
Acharya, Amit
6
2005
Continuum mechanics of the interaction of phase boundaries and dislocations in solids. Zbl 1325.74116
Acharya, Amit; Fressengeas, Claude
6
2015
A nonlinear generalization of the Koiter-Sanders-Budiansky bending strain measure. Zbl 0966.74046
Acharya, Amit
5
2000
The Clausius-Duhem inequality and the structure of rate-independent plasticity. Zbl 0858.73022
Acharya, A.; Shawki, T. G.
5
1996
A non-traditional view on the modeling of nematic disclination dynamics. Zbl 1356.76037
Zhang, Chiqun; Zhang, Xiaohan; Acharya, Amit; Golovaty, Dmitry; Walkington, Noel
5
2017
Finite element approximation of finite deformation dislocation mechanics. Zbl 1442.74038
Arora, Rajat; Zhang, Xiaohan; Acharya, Amit
5
2020
Time-averaged coarse variables for multi-scale dynamics. Zbl 1273.34065
Slemrod, Marshall; Acharya, Amit
5
2012
A fundamental improvement to Ericksen-Leslie kinematics. Zbl 1327.76017
Pourmatin, Hossein; Acharya, Amit; Dayal, Kaushik
4
2015
Fluids, elasticity, geometry, and the existence of wrinkled solutions. Zbl 1382.35203
Acharya, Amit; Chen, Gui-Qiang G.; Li, Siran; Slemrod, Marshall; Wang, Dehua
4
2017
The metric-restricted inverse design problem. Zbl 1342.74099
Acharya, Amit; Lewicka, Marta; Pakzad, Mohammad Reza
4
2016
Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers. Zbl 1282.76058
Acharya, Amit; Dayal, Kaushik
4
2014
Can equations of equilibrium predict all physical equilibria? A case study from field dislocation mechanics. Zbl 1528.74023
Das, Amit; Acharya, Amit; Zimmer, Johannes; Matthies, Karsten
4
2013
On Weingarten-Volterra defects. Zbl 1411.74007
Acharya, Amit
4
2019
Continuity in the plastic strain rate and its influence on texture evolution. Zbl 1193.74018
Mach, Justin C.; Beaudoin, Armand J.; Acharya, Amit
4
2010
Coarse-graining autonomous ODE systems by inducing a separation of scales: practical strategies and mathematical questions. Zbl 1197.74015
Acharya, Amit
4
2010
Computing with non-orientable defects: nematics, smectics and natural patterns. Zbl 1485.76011
Zhang, Chiqun; Acharya, Amit; Newell, Alan C.; Venkataramani, Shankar C.
4
2021
On compatibility conditions for the left Cauchy-Green deformation field in three dimensions. Zbl 0962.74004
Acharya, Amit
3
1999
Coarse variables of autonomous ODE systems and their evolution. Zbl 1297.34069
Tan, Likun; Acharya, Amit; Dayal, Kaushik
3
2013
Stress of a spatially uniform dislocation density field. Zbl 1425.74051
Acharya, Amit
3
2019
On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008
Zhang, Chiqun; Acharya, Amit
3
2018
Finite element approximation of the fields of bulk and interfacial line defects. Zbl 1441.74283
Zhang, Chiqun; Acharya, Amit; Puri, Saurabh
3
2018
Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics. Zbl 1270.74154
Puri, Saurabh; Das, Amit; Acharya, Amit
3
2011
Computing singularly perturbed differential equations. Zbl 1380.65135
Chatterjee, Sabyasachi; Acharya, Amit; Artstein, Zvi
2
2018
Analysis of a model of field crack mechanics for brittle materials. Zbl 1507.74404
Morin, Léo; Acharya, Amit
2
2021
On the structure of linear dislocation field theory. Zbl 1452.74008
Acharya, A.; Knops, R. J.; Sivaloganathan, J.
2
2019
A design principle for actuation of nematic glass sheets. Zbl 1421.74064
Acharya, Amit
2
2019
Fracture and singularities of the mass-density gradient field. Zbl 1395.74080
Acharya, Amit
1
2018
Microstructure in plasticity without nonconvexity. Zbl 1382.74025
Das, Amit; Acharya, Amit; Suquet, Pierre
1
2016
Variational principles for nonlinear PDE systems via duality. Zbl 1503.49003
Acharya, Amit
1
2023
On the three-dimensional filon construct for dislocations. Zbl 1423.74088
Acharya, A.; Knops, R. J.
1
2012
Saha-Basu equation of state and its application to Carnot cycle. Zbl 1520.81090
Samanta, S.; Acharya, A.; Mitra, J.; Bhattacharyya, S.
1
2022
Variational principles for nonlinear PDE systems via duality. Zbl 1503.49003
Acharya, Amit
1
2023
Saha-Basu equation of state and its application to Carnot cycle. Zbl 1520.81090
Samanta, S.; Acharya, A.; Mitra, J.; Bhattacharyya, S.
1
2022
Computing with non-orientable defects: nematics, smectics and natural patterns. Zbl 1485.76011
Zhang, Chiqun; Acharya, Amit; Newell, Alan C.; Venkataramani, Shankar C.
4
2021
Analysis of a model of field crack mechanics for brittle materials. Zbl 1507.74404
Morin, Léo; Acharya, Amit
2
2021
Finite element approximation of finite deformation dislocation mechanics. Zbl 1442.74038
Arora, Rajat; Zhang, Xiaohan; Acharya, Amit
5
2020
On Weingarten-Volterra defects. Zbl 1411.74007
Acharya, Amit
4
2019
Stress of a spatially uniform dislocation density field. Zbl 1425.74051
Acharya, Amit
3
2019
On the structure of linear dislocation field theory. Zbl 1452.74008
Acharya, A.; Knops, R. J.; Sivaloganathan, J.
2
2019
A design principle for actuation of nematic glass sheets. Zbl 1421.74064
Acharya, Amit
2
2019
On the relevance of generalized disclinations in defect mechanics. Zbl 1445.74008
Zhang, Chiqun; Acharya, Amit
3
2018
Finite element approximation of the fields of bulk and interfacial line defects. Zbl 1441.74283
Zhang, Chiqun; Acharya, Amit; Puri, Saurabh
3
2018
Computing singularly perturbed differential equations. Zbl 1380.65135
Chatterjee, Sabyasachi; Acharya, Amit; Artstein, Zvi
2
2018
Fracture and singularities of the mass-density gradient field. Zbl 1395.74080
Acharya, Amit
1
2018
A non-traditional view on the modeling of nematic disclination dynamics. Zbl 1356.76037
Zhang, Chiqun; Zhang, Xiaohan; Acharya, Amit; Golovaty, Dmitry; Walkington, Noel
5
2017
Fluids, elasticity, geometry, and the existence of wrinkled solutions. Zbl 1382.35203
Acharya, Amit; Chen, Gui-Qiang G.; Li, Siran; Slemrod, Marshall; Wang, Dehua
4
2017
The metric-restricted inverse design problem. Zbl 1342.74099
Acharya, Amit; Lewicka, Marta; Pakzad, Mohammad Reza
4
2016
Microstructure in plasticity without nonconvexity. Zbl 1382.74025
Das, Amit; Acharya, Amit; Suquet, Pierre
1
2016
A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations. Zbl 1481.74097
Zhang, Xiaohan; Acharya, Amit; Walkington, Noel J.; Bielak, Jacobo
14
2015
From dislocation motion to an additive velocity gradient decomposition, and some simple models of dislocation dynamics. Zbl 1329.74048
Acharya, Amit; Zhang, Xiaohan
7
2015
Continuum mechanics of the interaction of phase boundaries and dislocations in solids. Zbl 1325.74116
Acharya, Amit; Fressengeas, Claude
6
2015
A fundamental improvement to Ericksen-Leslie kinematics. Zbl 1327.76017
Pourmatin, Hossein; Acharya, Amit; Dayal, Kaushik
4
2015
Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers. Zbl 1282.76058
Acharya, Amit; Dayal, Kaushik
4
2014
Can equations of equilibrium predict all physical equilibria? A case study from field dislocation mechanics. Zbl 1528.74023
Das, Amit; Acharya, Amit; Zimmer, Johannes; Matthies, Karsten
4
2013
Coarse variables of autonomous ODE systems and their evolution. Zbl 1297.34069
Tan, Likun; Acharya, Amit; Dayal, Kaushik
3
2013
Time-averaged coarse variables for multi-scale dynamics. Zbl 1273.34065
Slemrod, Marshall; Acharya, Amit
5
2012
On the three-dimensional filon construct for dislocations. Zbl 1423.74088
Acharya, A.; Knops, R. J.
1
2012
On an equation from the theory of field dislocation mechanics. Zbl 1233.35186
Acharya, Amit; Tartar, Luc
13
2011
Microcanonical entropy and mesoscale dislocation mechanics and plasticity. Zbl 1320.74010
Acharya, Amit
9
2011
Mechanical response of multicrystalline thin films in mesoscale field dislocation mechanics. Zbl 1270.74154
Puri, Saurabh; Das, Amit; Acharya, Amit
3
2011
New inroads in an old subject: plasticity, from around the atomic to the macroscopic scale. Zbl 1244.74026
Acharya, Amit
13
2010
Travelling wave solutions for a quasilinear model of field dislocation mechanics. Zbl 1225.74012
Acharya, Amit; Matthies, Karsten; Zimmer, Johannes
9
2010
Continuity in the plastic strain rate and its influence on texture evolution. Zbl 1193.74018
Mach, Justin C.; Beaudoin, Armand J.; Acharya, Amit
4
2010
Coarse-graining autonomous ODE systems by inducing a separation of scales: practical strategies and mathematical questions. Zbl 1197.74015
Acharya, Amit
4
2010
New perspectives in plasticity theory: dislocation nucleation, waves, and partial continuity of plastic strain rate. Zbl 1161.74325
Acharya, Amit; Beaudoin, Armand; Miller, Ron
10
2008
A counterpoint to Cermelli and Gurtin’s criteria for choosing the ‘Correct’ geometric dislocation tensor in finite plasticity. Zbl 1209.74017
Acharya, Amit
6
2008
Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I. Zbl 1120.74328
Acharya, Amit; Roy, Anish
28
2006
Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. II. Zbl 1120.74333
Roy, Anish; Acharya, Amit
23
2006
On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type. Zbl 1120.74308
Acharya, Amit; Sawant, Aarti
9
2006
Model reduction via parametrized locally invariant manifolds: Some examples. Zbl 1119.70003
Sawant, Aarti; Acharya, Amit
6
2006
Finite element approximation of field dislocation mechanics. Zbl 1134.74413
Roy, Anish; Acharya, Amit
21
2005
Parametrized invariant manifolds: a recipe for multiscale modeling? Zbl 1091.70012
Acharya, Amit
6
2005
Constitutive analysis of finite deformation field dislocation mechanics. Zbl 1106.74315
Acharya, Amit
34
2004
A stress-gradient based criterion for dislocation nucleation in crystals. Zbl 1065.74017
Miller, Ronald E.; Acharya, Amit
10
2004
On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity. Zbl 1061.74010
Acharya, Amit; Tang, Huang; Saigal, Sunil; Bassani, John L.
9
2004
Effects of lattice incompatibility-induced hardening on the fracture behavior of ductile single crystals. Zbl 1115.74305
Tang, H.; Choi, Y. S.; Acharya, A.; Saigal, S.
6
2004
Driving forces and boundary conditions in continuum dislocation mechanics. Zbl 1041.74014
Acharya, Amit
27
2003
A model of crystal plasticity based on the theory of continuously distributed dislocations. Zbl 1017.74010
Acharya, Amit
62
2001
Lattice incompatibility and a gradient theory of crystal plasticity. Zbl 0963.74010
Acharya, A.; Bassani, J. L.
132
2000
Grain-size effect in viscoplastic polycrystals at moderate strains. Zbl 0958.74013
Acharya, A.; Beaudoin, A. J.
46
2000
A space-time discontinuous Galerkin method for elastodynamic analysis. Zbl 1041.74553
Yin, Lin; Acharya, Amit; Sobh, Nahil; Haber, Robert B.; Tortorelli, Daniel A.
16
2000
A nonlinear generalization of the Koiter-Sanders-Budiansky bending strain measure. Zbl 0966.74046
Acharya, Amit
5
2000
On compatibility conditions for the left Cauchy-Green deformation field in three dimensions. Zbl 0962.74004
Acharya, Amit
3
1999
The Clausius-Duhem inequality and the structure of rate-independent plasticity. Zbl 0858.73022
Acharya, A.; Shawki, T. G.
5
1996
Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior. Zbl 0876.73023
Acharya, A.; Shawki, T. G.
11
1995
all top 5

Cited by 451 Authors

48 Acharya, Amit
9 Huang, Yonggang Young
9 van der Giessen, Erik
7 Le Khanh Chau
7 Tvergaard, Viggo
7 Yavari, Arash
6 Forest, Samuel
6 Geers, Marc G. D.
6 Needleman, Alan
5 Cleja-Țigoiu, Sanda
5 Conti, Sergio
5 Gurtin, Morton Edward
5 Kuroda, Mitsutoshi
5 Neff, Patrizio
5 Niordson, Christian F.
5 Slemrod, Marshall
5 Steinmann, Paul
5 Svendsen, Bob
4 Bargmann, Swantje
4 Beaudoin, Armand J.
4 Berbenni, Stephane
4 Fressengeas, Claude
4 Gao, Huajian
4 Ghosh, Somnath
4 Haber, Robert Bruce
4 Hutchinson, John Woodside
4 Knops, Robin J.
4 McDowell, David L.
4 Menzel, Andreas M.
4 Polizzotto, Castrenze
4 Reina, Celia
4 Sfyris, Dimitris
4 Xiang, Yang
4 Zhang, Chiqun
4 Zhang, Xiaohan
3 Bassani, John L.
3 Bronkhorst, Curt A.
3 Das, Amit
3 Dawson, Paul R.
3 Dayal, Kaushik
3 Garikipati, Krishna
3 Ghiba, Ionel-Dumitrel
3 Gopalakrishnan, Jay
3 Kochmann, Dennis M.
3 Li, Siran
3 Matthies, Karsten
3 Miller, Ronald E.
3 Nix, William D.
3 Roy, Anish
3 Schöberl, Joachim
3 Sembiring, Pramio
3 van Meurs, Patrick
3 Venkataramani, Shankar C.
3 Walkington, Noel J.
3 Wintersteiger, Christoph M.
3 Zhu, Peicheng
3 Zimmer, Johannes
2 Abedi, Reza
2 Abu Al-Rub, Rashid K.
2 Antonietti, Paola Francesca
2 Arsenlis, Athanasios
2 Artstein, Zvi
2 Azizi, Reza
2 Bardella, Lorenzo
2 Bertram, Albrecht
2 Bingert, John F.
2 Bîrsan, Mircea
2 Brekelmans, W. A. M.
2 Busso, Esteban P.
2 Cesana, Pierluigi
2 Chen, Gui-Qiang G.
2 Cleveringa, H. H. M.
2 Cordero, N. M.
2 Curtin, William A.
2 Deshpande, Vikram S.
2 Ebobisse, François Bille
2 Ekh, Magnus
2 Erturk, Ismail
2 Fleck, Norman A.
2 Fonseca, Irene
2 Freed, Alan David
2 Garroni, Adriana
2 Gaubert, Anaïs
2 Gerken, Jobie M.
2 Goriely, Alain
2 Gudmundson, Peter
2 Han, Chung-Souk
2 Jiang, Hanqing
2 Kaiser, Tobias
2 Klusemann, Benjamin
2 Koslowski, Marisol
2 Legarth, Brian Nyvang
2 Lewicka, Marta
2 Lewintan, Peter
2 Limkumnerd, Surachate
2 Marotti de Sciarra, Francesco
2 Mayeur, Jason R.
2 Morin, Léo
2 Müller, Stefan
2 Newell, Alan C.
...and 351 more Authors
all top 5

Cited in 62 Serials

95 Journal of the Mechanics and Physics of Solids
26 Computer Methods in Applied Mechanics and Engineering
20 European Journal of Mechanics. A. Solids
18 International Journal of Plasticity
14 Mathematics and Mechanics of Solids
10 Journal of Elasticity
8 Acta Mechanica
8 International Journal of Engineering Science
8 Quarterly of Applied Mathematics
8 Computational Mechanics
5 Archive for Rational Mechanics and Analysis
4 Computers & Mathematics with Applications
4 International Journal of Solids and Structures
4 Physica D
4 Journal of Nonlinear Science
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 International Journal for Numerical Methods in Engineering
3 Meccanica
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Archive of Applied Mechanics
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Acta Mechanica Sinica
2 SIAM Journal on Mathematical Analysis
2 Continuum Mechanics and Thermodynamics
2 Calculus of Variations and Partial Differential Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 International Journal of Fracture
2 Oberwolfach Reports
2 GAMM-Mitteilungen
1 Archives of Mechanics
1 Computer Physics Communications
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Mathematics of Computation
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of Functional Analysis
1 Mechanics Research Communications
1 Chinese Annals of Mathematics. Series B
1 Applied Numerical Mathematics
1 Computational Geometry
1 Journal of Non-Equilibrium Thermodynamics
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Computational Optimization and Applications
1 SIAM Journal on Scientific Computing
1 Chaos
1 Journal of the European Mathematical Society (JEMS)
1 Nonlinear Analysis. Real World Applications
1 Archives of Computational Methods in Engineering
1 Discrete and Continuous Dynamical Systems. Series B
1 Sādhanā
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Acta Numerica
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Acta Crystallographica. Section A
1 AMM. Applied Mathematics and Mechanics. (English Edition)

Citations by Year