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Gurtin, Morton Edward

Author ID: gurtin.morton-e Recent zbMATH articles by "Gurtin, Morton Edward"
Published as: Gurtin, Morton E.; Gurtin, M. E.; Gurtin, Mortin E.; Gurtin, Morton
External Links: MGP · Wikidata · IdRef
Documents Indexed: 230 Publications since 1959, including 6 Books
2 Contributions as Editor
Biographic References: 4 Publications
Co-Authors: 75 Co-Authors with 160 Joint Publications
1,788 Co-Co-Authors
all top 5

Co-Authors

72 single-authored
19 Fried, Eliot
16 Williams, William O.
10 Coleman, Bernard David
9 Anand, Lallit
9 Cermelli, Paolo
8 Chen, Peter J.
8 MacCamy, Richard C.
7 Bertsch, Michiel
7 Guidugli, Paolo Podio
6 Hilhorst, Danielle
6 Murphy, Lea F.
5 Sternberg, Eli
4 Peletier, Lambertus Adrianus
3 Angenent, Sigurd Bernardus
3 Herrera, Ismael
3 Hrusa, William J.
3 Levine, Daniel S.
3 Murdoch, A. Ian
3 Reddy, B. Dayanand
3 Spector, Scott J.
2 Benthien, George W.
2 Browning, Richard V.
2 Carr, Jack
2 Edelstein, Warren S.
2 Giga, Yoshikazu
2 Lele, Suvrat P.
2 Cardoso Matias, José Carlos Pedro
2 McFadden, Geoffrey Bey
2 Mizel, Victor J.
2 Needleman, Alan
2 Pipkin, Allen C.
2 Ralston, Terrance D.
2 Reynolds, David W.
2 Shvartsman, Mikhail M.
2 Slemrod, Marshall
2 Soner, Halil Mete
2 Struthers, Allan A.
2 van der Giessen, Erik
1 Almgren, Frederick Justin jun.
1 Anderson, Daniel M.
1 Bittencourt, Eduardo
1 Daví, Fabrizio
1 Day, William Alan
1 de la Penha, Guilherme M.
1 Di Carlo, Antonio
1 Fisher, G. M. C.
1 Fix, George J.
1 Gething, C.
1 Greenberg, James M.
1 Herrera R., I.
1 Hutter, Kolumban
1 Jabbour, Michel E.
1 Leoni, Giovanni
1 Lusk, Mark T.
1 Martins, Luiz Carlos
1 Nicola, Lucia
1 Ohno, Nobutada
1 Oliver, Marion L.
1 Paslay, Paul R.
1 Polignone, Debra A.
1 Socolovsky, Eduardo A.
1 Souganidis, Panagiotis E.
1 Spear, Kathleen
1 Suliciu, Ion
1 Temam, Roger Meyer
1 Toupin, Richard A.
1 Truesdell, Clifford Ambrose III
1 Vargas, Antonio S.
1 Vianello, Maurizio
1 Villaggio, Piero
1 Viñals, Jorge
1 Voorhees, Peter W.
1 Walsh, Edward K.
1 Yatomi, Chikayoshi
1 Ziemer, William Paul
all top 5

Serials

56 Archive for Rational Mechanics and Analysis
27 Quarterly of Applied Mathematics
23 Journal of the Mechanics and Physics of Solids
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 International Journal of Solids and Structures
8 Journal of Elasticity
6 Mathematical Biosciences
5 International Journal of Plasticity
5 Journal of Applied Mechanics
5 Physica D
3 Journal of Fluid Mechanics
3 Journal of Mathematical Biology
3 Journal of Differential Equations
3 Continuum Mechanics and Thermodynamics
2 Journal of Mathematical Analysis and Applications
2 Theoretical and Computational Fluid Dynamics
2 Meccanica
2 Note di Matematica
2 SIAM Journal on Applied Mathematics
2 Journal of the Society for Industrial & Applied Mathematics
1 International Journal of Engineering Science
1 Journal of the Acoustical Society of America
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Physics of Fluids
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal für die Reine und Angewandte Mathematik
1 Le Matematiche
1 Numerische Mathematik
1 Journal of Integral Equations and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Mathematical Analysis
1 Interfaces and Free Boundaries
1 Journal of the Aerospace Sciences
1 Applied Mathematical Sciences
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 The IMA Volumes in Mathematics and its Applications
1 Mathematics in Science and Engineering
1 Publications of the Mathematics Research Center, The University of Wisconsin - Madison
1 Nonlinear Analysis. Theory, Methods & Applications
1 Oxford Mathematical Monographs

Publications by Year

Citations contained in zbMATH Open

211 Publications have been cited 9,342 times in 6,121 Documents Cited by Year
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
727
1975
An introduction to continuum mechanics. Zbl 0559.73001
Gurtin, Morton E.
587
1981
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
Gurtin, M. E.; Pipkin, A. C.
555
1968
Surface stress in solids. Zbl 0377.73001
Gurtin, Morton E.; Murdoch, A. Ian
374
1978
On a theory of heat conduction involving two temperature. Zbl 0159.15103
Chen, P. J.; Gurtin, M. E.
330
1968
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
328
1974
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
300
1996
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
272
1996
On the diffusion of biological populations. Zbl 0362.92007
Gurtin, Morton E.; MacCamy, Richard C.
245
1977
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
Gurtin, Morton E.
204
2002
Configuration forces as basic concepts of continuum physics. Zbl 0951.74003
Gurtin, Morton E.
202
2000
On the linear theory of viscoelasticity. Zbl 0107.41007
Gurtin, M. E.; Sternberg, E.
149
1962
Thermomechanics of evolving phase boundaries in the plane. Zbl 0787.73004
Gurtin, Morton E.
148
1993
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
147
2000
Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface. Zbl 0723.73017
Angenent, Sigurd; Gurtin, Morton E.
126
1989
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
126
1984
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
124
2005
Variational principles for linear elastodynamics. Zbl 0124.40001
Gurtin, M. E.
111
1964
On the thermodynamics of non-simple elastic materials with two temperatures. Zbl 0164.26104
Chen, P. J.; Gurtin, M. E.; Williams, W. O.
107
1969
The nature of configurational forces. Zbl 0836.73002
Gurtin, Morton E.
104
1995
On the thermodynamics of elastic materials and of reacting fluid mixtures. Course held at the Department of Mechanics of Solids, June 1971. Zbl 0317.73002
Gurtin, Morton E.
103
1972
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
100
2001
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
98
1993
Dynamic solid-solid transitions with phase characterized by an order parameter. Zbl 0812.35164
Fried, E.; Gurtin, M. E.
85
1994
Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025
Gurtin, Morton E.; MacCamy, Richard C.
83
1979
Multiphase thermomechanics with interfacial structure. III: Evolving phase boundaries in the presence of bulk deformation. Zbl 0723.73018
Gurtin, Morton E.; Struthers, Allan
81
1990
Variational principles in the linear theory of viscoelasticity. Zbl 0123.40803
Gurtin, M. E.
78
1963
Two-phase deformations of elastic solids. Zbl 0525.73054
Gurtin, Morton E.
77
1983
Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales. Zbl 1104.74006
Fried, Eliot; Gurtin, Morton E.
77
2006
Variational principles for linear initial-value problems. Zbl 0173.37602
Gurtin, M. E.
68
1964
Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves. Zbl 0244.73017
Coleman, Bernard D.; Gurtin, Morton E.
68
1965
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E.
65
2003
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
64
2005
Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck and Hutchinson and their generalization. Zbl 1170.74311
Gurtin, Morton E.; Anand, Lallit
64
2009
An axiomatic foundation for continuum thermodynamics. Zbl 0144.48302
Gurtin, M. E.; Williams, W. O.
61
1967
On the optimal harvesting of persistent age-structured populations. Zbl 0466.92021
Gurtin, Morton E.; Murphy, Lea F.
58
1981
A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin. Zbl 1084.74008
Gurtin, Morton E.
56
2004
A one-dimensional theory of strain-gradient plasticity: formulation, analysis, numerical results. Zbl 1120.74350
Anand, L.; Gurtin, M. E.; Lele, S. P.; Gething, C.
54
2005
On the optimal harvesting of age-structured populations: Some simple models. Zbl 0467.92017
Gurtin, Morton E.; Murphy, Lea F.
53
1981
Multiphase thermomechanics with interfacial structure. I: Heat conduction and the capillary balance law. Zbl 0723.73016
Gurtin, Morton E.
50
1988
On a framework for small-deformation viscoplasticity: Free energy, microforces, strain gradients. Zbl 1032.74521
Gurtin, Morton E.
50
2003
The thermodynamics of constrained materials. Zbl 0263.73004
Gurtin, Morton E.; Guidugli, Paolo Podio
49
1973
On dissipation inequalities and linear viscoelasticity. Zbl 0173.52703
Gurtin, M. E.; Herrera, I.
49
1965
Gradient single-crystal plasticity with free energy dependent on dislocation densities. Zbl 1170.74013
Gurtin, Morton E.; Anand, Lallit; Lele, Suvrat P.
46
2007
On the thermodynamics of materials with memory. Zbl 0169.28002
Gurtin, M. E.
45
1968
Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films. Zbl 1053.74005
Gurtin, Morton E.; Jabbour, Michel E.
44
2002
On interacting populations that disperse to avoid crowding: preservation of segregation. Zbl 0596.35074
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
43
1985
Configurational forces and the basic laws for crack propagation. Zbl 1054.74508
Gurtin, Morton E.; Podio-Guidugli, Paolo
42
1996
Diffusion models for age-structured populations. Zbl 0459.92015
Gurtin, M. E.; MacCamy, Richard C.
41
1981
On predator-prey interactions with predation dependent on age of prey. Zbl 0435.92023
Gurtin, Morton E.; Levine, Daniel S.
41
1979
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations. Zbl 1101.74316
Gurtin, Morton E.; Anand, Lallit
41
2005
On the structure of equilibrium phase transitions within the gradient theory of fluids. Zbl 0665.76120
Gurtin, Morton E.
40
1988
Thermomechanics of the interface between a body and its environment. Zbl 1160.74303
Fried, Eliot; Gurtin, Morton E.
40
2007
Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves. Zbl 0244.73018
Coleman, Bernard D.; Gurtin, Morton E.
39
1968
Thermodynamics and the possibility of spatial interaction in elastic materials. Zbl 0146.21106
Gurtin, M. E.
37
1965
Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves. Zbl 0138.22006
Coleman, B. D.; Gurtin, M. E.; Herrera, I.
37
1965
Addenda to our paper: A continuum theory of elastic material surfaces. Zbl 0349.73008
Gurtin, Morton E.; Murdoch, A. Ian
36
1975
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. Zbl 1045.74016
Anand, Lallit; Gurtin, Morton E.
36
2003
The decomposition \(\mathbf F = \mathbf F^{\text e}\mathbf F^{\text b}\), material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous. Zbl 1180.74009
Gurtin, Morton E.; Anand, Lallit
35
2005
A regularized equation for anisotropic motion-by-curvature. Zbl 0800.73021
Di Carlo, Antonio; Gurtin, Morton E.; Podio-Guidugli, Paolo
34
1992
Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces. Zbl 1083.76061
Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.
34
2005
The dynamics of solid-solid phase transitions. I: Coherent interfaces. Zbl 0788.73017
Gurtin, Morton E.
32
1993
A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations. Zbl 1131.74006
Gurtin, Morton E.
32
2008
On the anti-plane shear problem in finite elasticity. Zbl 0496.73036
Gurtin, Morton E.; Temam, Roger
31
1981
A note on interacting populations that disperse to avoid crowding. Zbl 0534.92021
Gurtin, Morton E.; Pipkin, A. C.
31
1984
Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations. Zbl 1032.74533
Cermelli, Paolo; Gurtin, Morton E.
31
2002
A generalization of the Beltrami stress functions in continuum mechanics. Zbl 0203.26802
Gurtin, M. E.
31
1963
On the two-phase Stefan problem with interfacial energy and entropy. Zbl 0654.73008
Gurtin, Morton E.
30
1986
On the relationship between the logarithmic strain rate and the stretching tensor. Zbl 0525.73048
Gurtin, Morton E.; Spear, Kathleen
29
1983
On populations that cannibalize their young. Zbl 0501.92021
Gurtin, Morton E.; Levine, Daniel S.
29
1982
The continuum mechanics of coherent two-phase elastic solids with mass transport. Zbl 0795.73009
Gurtin, Morton E.; Voorhees, Peter W.
29
1993
Theorems in linear elastostatics for exterior domains. Zbl 0101.17001
Gurtin, M. E.; Sternberg, Eli
29
1961
Thermodynamics and stability. Zbl 0341.73003
Gurtin, Morton E.
27
1975
Cauchy’s theorem in classical physics. Zbl 0347.73001
Gurtin, Morton E.; Martins, Luiz C.
26
1976
Coherent solid-state phase transitions with atomic diffusion: A thermomechanical treatment. Zbl 0952.74053
Fried, Eliot; Gurtin, Morton E.
25
1999
A transport theorem for moving interfaces. Zbl 0686.73004
Gurtin, Morton E.; Struthers, Allan; Williams, William O.
24
1989
On stability and uniqueness in finite elasticity. Zbl 0426.73038
Gurtin, Morton E.; Spector, Scott J.
23
1979
Waves in materials with memory. V: On the amplitude of acceleration waves and mild discontinuities. Zbl 0247.73022
Coleman, Bernard D.; Greenberg, James M.; Gurtin, Morton E.
23
1966
Time-reversal and symmetry in the thermodynamics of materials with memory. Zbl 0249.73003
Gurtin, Morton E.
23
1972
Geometric measure theory and the axioms of continuum thermodynamics. Zbl 0599.73002
Gurtin, Morton E.; Williams, William O.; Ziemer, William P.
23
1986
The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity. Zbl 1120.74394
Gurtin, Morton E.
23
2006
On the motion of a phase interface by surface diffusion. Zbl 0850.76680
Davì, Fabrizio; Gurtin, Morton E.
22
1990
Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving. Zbl 0955.74004
Gurtin, Morton E.; Podio-Guidugli, Paolo
22
1998
On the growth of one-dimensional shock waves in materials with memory. Zbl 0202.25305
Chen, P. J.; Gurtin, M. E.
22
1970
On interacting populations that disperse to avoid crowding: The effect of a sedentary colony. Zbl 0538.92020
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
21
1984
Toward a nonequilibrium thermodynamics of two-phase materials. Zbl 0673.73007
Gurtin, Morton E.
21
1988
On the stability against shear waves of steady flows of non-linear viscoelastic fluids. Zbl 0207.25302
Coleman, B. D.; Gurtin, M. E.
21
1968
The dynamics of solid-solid phase transitions. II: Incoherent interfaces. Zbl 0807.73006
Cermelli, Paolo; Gurtin, Morton E.
20
1994
Thermal effects in the superelasticity of crystalline shape-memory materials. Zbl 1032.74019
Anand, Lallit; Gurtin, Morton E.
20
2003
On the thermodynamics of mixtures. I: Mixtures of rigid heat conductors. Zbl 0209.40302
Gurtin, M. E.; de la Penha, G. M.
20
1970
Some results and conjectures in the gradient theory of phase transitions. Zbl 0634.49019
Gurtin, Morton E.
19
1987
A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047
Giga, Yoshikazu; Gurtin, Morton E.
19
1996
On a degenerate diffusion equation of the form \(c(z)_ t=\phi (z_ x)_ x\) with application to population dynamics. Zbl 0624.35049
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
19
1987
On interacting populations that disperse to avoid crowding: The case of equal dispersal velocities. Zbl 0646.92018
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
19
1987
Nanocrystalline grain boundaries that slip and separate: A gradient theory that accounts for grain-boundary stress and conditions at a triple-junction. Zbl 1162.74335
Gurtin, Morton E.; Anand, Lallit
19
2008
On the thermodynamics of chemically reacting fluid mixtures. Zbl 0227.76012
Gurtin, Morton E.
19
1971
Population dynamics with age dependence. Zbl 0398.92023
Gurtin, M. E.; Maccamy, Richard C.
18
1979
Thermodynamics and the cohesive zone in fracture. Zbl 0418.73087
Gurtin, Morton E.
18
1979
A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions. Zbl 1161.76485
Fried, Eliot; Gurtin, Morton E.
18
2008
A coordinate transformation for the porous media equation that renders the free-boundary stationary. Zbl 0574.76093
Gurtin, Morton E.; MacCamy, Richard C.; Socolovsky, Eduardo A.
18
1984
Some issues associated with the intermediate space in single-crystal plasticity. Zbl 1482.74041
Gurtin, Morton E.; Reddy, B. Daya
5
2016
Gradient single-crystal plasticity within a Mises-Hill framework based on a new formulation of self- and latent-hardening. Zbl 1328.74021
Gurtin, Morton E.; Reddy, B. Daya
10
2014
A gradient theory of small-deformation, single-crystal plasticity that accounts for GND-induced interactions between slip systems. Zbl 1270.74041
Gurtin, Morton E.; Ohno, Nobutada
6
2011
Corrigendum to “A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions”. Zbl 1272.76138
Fried, Eliot; Gurtin, Morton E.
1
2011
A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations. Zbl 1432.74047
Gurtin, Morton E.
13
2010
Corrigendum to “Gradient nanoscale polycrystalline elasticity: intergrain interactions and triple-junction conditions”: [Journal of the Mechanics and Physics of Solids 57 (2009), 1749-1779]. Zbl 1200.74022
Fried, Eliot; Gurtin, Morton E.
1
2010
Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck and Hutchinson and their generalization. Zbl 1170.74311
Gurtin, Morton E.; Anand, Lallit
64
2009
Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities. Zbl 1179.74013
Gurtin, Morton E.; Reddy, B. Daya
16
2009
Gradient nanoscale polycrystalline elasticity: intergrain interactions and triple-junction conditions. Zbl 1200.74021
Fried, Eliot; Gurtin, Morton E.
9
2009
A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations. Zbl 1131.74006
Gurtin, Morton E.
32
2008
Nanocrystalline grain boundaries that slip and separate: A gradient theory that accounts for grain-boundary stress and conditions at a triple-junction. Zbl 1162.74335
Gurtin, Morton E.; Anand, Lallit
19
2008
A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions. Zbl 1161.76485
Fried, Eliot; Gurtin, Morton E.
18
2008
A theory of grain boundaries that accounts automatically for grain misorientation and grain-boundary orientation. Zbl 1171.74314
Gurtin, Morton E.
16
2008
Gradient single-crystal plasticity with free energy dependent on dislocation densities. Zbl 1170.74013
Gurtin, Morton E.; Anand, Lallit; Lele, Suvrat P.
46
2007
Thermomechanics of the interface between a body and its environment. Zbl 1160.74303
Fried, Eliot; Gurtin, Morton E.
40
2007
General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids. Zbl 1119.76066
Anderson, Daniel M.; Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.; McFadden, Geoffrey B.
15
2007
On a continuum-mechanical theory for turbulence. Zbl 1195.76194
Fried, Eliot; Gurtin, Morton
1
2007
Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales. Zbl 1104.74006
Fried, Eliot; Gurtin, Morton E.
77
2006
The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity. Zbl 1120.74394
Gurtin, Morton E.
23
2006
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
124
2005
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
64
2005
A one-dimensional theory of strain-gradient plasticity: formulation, analysis, numerical results. Zbl 1120.74350
Anand, L.; Gurtin, M. E.; Lele, S. P.; Gething, C.
54
2005
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations. Zbl 1101.74316
Gurtin, Morton E.; Anand, Lallit
41
2005
The decomposition \(\mathbf F = \mathbf F^{\text e}\mathbf F^{\text b}\), material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous. Zbl 1180.74009
Gurtin, Morton E.; Anand, Lallit
35
2005
Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces. Zbl 1083.76061
Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.
34
2005
Effect of defect energy on strain-gradient predictions of confined single-crystal plasticity. Zbl 1120.74358
Nicola, Lucia; Van der Giessen, Erik; Gurtin, Morton E.
17
2005
The unifying nature of the configurational force balance. Zbl 1221.76039
Fried, Eliot; Gurtin, Morton E.
1
2005
A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin. Zbl 1084.74008
Gurtin, Morton E.
56
2004
Sharp-interface nematic-isotropic phase transitions without flow. Zbl 1060.76011
Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.
9
2004
A void-based description of compaction and segregation in flowing granular materials. Zbl 1100.74535
Fried, E.; Gurtin, M. E.; Hutter, K.
2
2004
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E.
65
2003
On a framework for small-deformation viscoplasticity: Free energy, microforces, strain gradients. Zbl 1032.74521
Gurtin, Morton E.
50
2003
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. Zbl 1045.74016
Anand, Lallit; Gurtin, Morton E.
36
2003
Thermal effects in the superelasticity of crystalline shape-memory materials. Zbl 1032.74019
Anand, Lallit; Gurtin, Morton E.
20
2003
The role of the configurational force balance in the nonequilibrium epitaxy of films. Zbl 1020.74022
Fried, Eliot; Gurtin, Morton E.
11
2003
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
Gurtin, Morton E.
204
2002
Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films. Zbl 1053.74005
Gurtin, Morton E.; Jabbour, Michel E.
44
2002
Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations. Zbl 1032.74533
Cermelli, Paolo; Gurtin, Morton E.
31
2002
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
100
2001
Configuration forces as basic concepts of continuum physics. Zbl 0951.74003
Gurtin, Morton E.
202
2000
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
147
2000
Coherent solid-state phase transitions with atomic diffusion: A thermomechanical treatment. Zbl 0952.74053
Fried, Eliot; Gurtin, Morton E.
25
1999
The motion of screw dislocations in crystalline materials undergoing antiplane shear: Glide, cross-slip, fine cross-slip. Zbl 0941.74006
Cermelli, Paolo; Gurtin, Morton E.
11
1999
Sharp-interface and phase-field theories of recrystallization in the plane. Zbl 0948.74042
Gurtin, Morton E.; Lusk, Mark T.
3
1999
Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving. Zbl 0955.74004
Gurtin, Morton E.; Podio-Guidugli, Paolo
22
1998
On the dynamics of crystalline motions. Zbl 1306.74038
Giga, Yoshikazu; Gurtin, Morton E.; Matias, Jose’
12
1998
A note on the thermomechanics of curvature flows in \(\mathbb{R}^3\) and on surfaces in \(\mathbb{R}^3\). Zbl 0926.74006
Cermelli, Paolo; Gurtin, Morton E.; Shvartsman, Mikhail M.
1
1998
Configurational forces and the dynamics of planar cracks in three-dimensional bodies. Zbl 0903.73059
Gurtin, M. E.; Shvartsman, M. M.
4
1997
Dynamical theories of electromagnetism and superconductivity based on gauge invariance and energy. Zbl 0893.35124
Gurtin, Morton E.
3
1997
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
300
1996
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
272
1996
Configurational forces and the basic laws for crack propagation. Zbl 1054.74508
Gurtin, Morton E.; Podio-Guidugli, Paolo
42
1996
A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047
Giga, Yoshikazu; Gurtin, Morton E.
19
1996
A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy. Zbl 0885.35147
Fried, Eliot; Gurtin, Morton E.
15
1996
On configurational inertial forces at a phase interface. Zbl 0945.74663
Gurtin, Morton E.; Podio-Guidugli, Paolo
11
1996
Semi-quadratic variational problems for multiphase equilibria. Zbl 0896.73077
Fried, Eliot; Gurtin, Morton E.
4
1996
General contact-angle conditions with and without kinetics. Zbl 0867.53061
Angenent, Sigurd; Gurtin, Morton E.
3
1996
The nature of configurational forces. Zbl 0836.73002
Gurtin, Morton E.
104
1995
Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Zbl 0828.35054
Gurtin, M. E.; Soner, H. M.; Souganidis, P. E.
14
1995
Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces. Zbl 0841.76086
Gurtin, Morton E.; Matias, José
7
1995
Dynamic solid-solid transitions with phase characterized by an order parameter. Zbl 0812.35164
Fried, E.; Gurtin, M. E.
85
1994
The dynamics of solid-solid phase transitions. II: Incoherent interfaces. Zbl 0807.73006
Cermelli, Paolo; Gurtin, Morton E.
20
1994
Anisotropic motion of a phase interface. Well-posedness of the initial value problem and qualitative properties of the interface. Zbl 0784.35124
Angenent, Sigurd B.; Gurtin, Morton E.
13
1994
The characterization of configurational forces. Addendum to: The dynamics of solid-solid phase transions. I: Coherent interfaces. Zbl 0825.73045
Gurtin, Morton E.
6
1994
Thermodynamics and the supercritical Stefan equations with nucleations. Zbl 0809.35171
Gurtin, Morton E.
4
1994
Thermomechanics of evolving phase boundaries in the plane. Zbl 0787.73004
Gurtin, Morton E.
148
1993
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
98
1993
The dynamics of solid-solid phase transitions. I: Coherent interfaces. Zbl 0788.73017
Gurtin, Morton E.
32
1993
The continuum mechanics of coherent two-phase elastic solids with mass transport. Zbl 0795.73009
Gurtin, Morton E.; Voorhees, Peter W.
29
1993
A regularized equation for anisotropic motion-by-curvature. Zbl 0800.73021
Di Carlo, Antonio; Gurtin, Morton E.; Podio-Guidugli, Paolo
34
1992
On the formulation of mechanical balance laws for structured continua. Zbl 0782.73067
Gurtin, Morton E.; Podio-Guidugli, Paolo
8
1992
On the evolution of phase boundaries. Proceedings of the IMA workshop, held September 17-21, 1990, in Minneapolis, MN, USA. Zbl 0745.00047
4
1992
Some remarks on the Stefan problem with surface structure. Zbl 0763.35110
Gurtin, Morton E.; Soner, H. Mete
2
1992
Evolving phase boundaries in the presence of deformation and surface stress. Zbl 0800.73022
Gurtin, Morton E.
1
1992
A hyperbolic theory for the evolution of plane curves. Zbl 0762.35068
Gurtin, Morton E.; Podio-Guidugli, Paolo
15
1991
On the thermodynamics of viscoelastic materials of single-integral type. Zbl 0747.73006
Gurtin, Morton E.; Hrusa, William J.
14
1991
On thermomechanical laws for the motion of a phase interface. Zbl 0754.73020
Gurtin, Morton E.
9
1991
Multiphase thermomechanics with interfacial structure. III: Evolving phase boundaries in the presence of bulk deformation. Zbl 0723.73018
Gurtin, Morton E.; Struthers, Allan
81
1990
On the motion of a phase interface by surface diffusion. Zbl 0850.76680
Davì, Fabrizio; Gurtin, Morton E.
22
1990
A mechanical theory for crystallization of a rigid solid in a liquid melt; Melting-freezing waves. Zbl 0850.76728
Gurtin, Morton E.
6
1990
Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface. Zbl 0723.73017
Angenent, Sigurd; Gurtin, Morton E.
126
1989
A transport theorem for moving interfaces. Zbl 0686.73004
Gurtin, Morton E.; Struthers, Allan; Williams, William O.
24
1989
On a nonequilibrium thermodynamics of capillarity and phase. Zbl 0704.35129
Gurtin, Morton E.
16
1989
On diffusion in two-phase systems: The sharp interface versus the transition layer. Zbl 0991.80500
Gurtin, Morton E.
2
1989
Multiphase thermomechanics with interfacial structure. I: Heat conduction and the capillary balance law. Zbl 0723.73016
Gurtin, Morton E.
50
1988
On the structure of equilibrium phase transitions within the gradient theory of fluids. Zbl 0665.76120
Gurtin, Morton E.
40
1988
Toward a nonequilibrium thermodynamics of two-phase materials. Zbl 0673.73007
Gurtin, Morton E.
21
1988
On energies for nonlinear viscoelastic materials of single-integral type. Zbl 0658.73026
Gurtin, Morton E.; Hrusa, William J.
11
1988
Corrections for the paper “On the two-phase Stefan problem with interfacial energy and entropy”. Zbl 0672.73080
Gurtin, Morton E.
1
1988
Some results and conjectures in the gradient theory of phase transitions. Zbl 0634.49019
Gurtin, Morton E.
19
1987
On a degenerate diffusion equation of the form \(c(z)_ t=\phi (z_ x)_ x\) with application to population dynamics. Zbl 0624.35049
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
19
1987
On interacting populations that disperse to avoid crowding: The case of equal dispersal velocities. Zbl 0646.92018
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
19
1987
On the two-phase Stefan problem with interfacial energy and entropy. Zbl 0654.73008
Gurtin, Morton E.
30
1986
Geometric measure theory and the axioms of continuum thermodynamics. Zbl 0599.73002
Gurtin, Morton E.; Williams, William O.; Ziemer, William P.
23
1986
On fluids of grade \(n\). Zbl 0626.76010
Gurtin, Morton E.; Vianello, Maurizio; Williams, William O.
7
1986
On predator-prey dispersal, repulsive dispersal, and the presence of shock waves. Zbl 0621.92017
Bertsch, Michiel; Gurtin, Morton E.
1
1986
On a system of degenerate diffusion equations. Zbl 0601.35048
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
1
1986
On interacting populations that disperse to avoid crowding: preservation of segregation. Zbl 0596.35074
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
43
1985
One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
12
1985
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
126
1984
...and 111 more Documents
all top 5

Cited by 6,383 Authors

102 Gurtin, Morton Edward
50 Steinmann, Paul
44 Quintanilla de Latorre, Ramón
43 Rautian, Nadegda Aleksandrovna
40 Fabrizio, Mauro
39 Fried, Eliot
38 Vlasov, Viktor Valentinovich
36 Eremeyev, Victor A.
35 Morro, Angelo
34 Miranville, Alain M.
31 Schiavone, Peter
29 Chen, Peter J.
28 Colli, Pierluigi
28 Guidugli, Paolo Podio
27 Garcke, Harald
27 Grasselli, Maurizio
26 Javili, Ali
26 Roubíček, Tomáš
25 Giga, Yoshikazu
25 Marin, Marin I.
24 Šilhavý, Miroslav
23 Anand, Lallit
23 Reddy, B. Dayanand
23 Wang, Xu
22 Williams, William O.
21 Forest, Samuel
20 Abels, Helmut
20 Coleman, Bernard David
20 Fernández, Jose Ramon
19 Hernández, Eduardo M.
19 Neff, Patrizio
19 Niordson, Christian F.
19 Pata, Vittorino
18 Dai, Ming
18 Fosdick, Roger L.
18 Giorgi, Claudio
18 McBride, Andrew T.
18 Spector, Scott J.
18 Stefanelli, Ulisse
17 Mogilevskaya, Sofia G.
17 Russo, Remigio
17 Yang, Xiaofeng
16 Gao, Xinlin
16 Gilardi, Gianni
16 Miehe, Christian
15 Ansari, Reza
15 Nunziato, Jace W.
15 Nürnberg, Robert
15 Papageorgiou, Nikolaos S.
15 Polizzotto, Castrenze
15 Shen, Jie
15 Sprekels, Jürgen
15 Tomassetti, Giuseppe
14 Acharya, Amit
14 Altenbach, Holm
14 Del Piero, Gianpietro
14 Fonseca, Irene
14 Gao, Cun-Fa
14 Kružík, Martin
14 Svendsen, Bob
14 Vianello, Maurizio
13 Bowen, Ray M.
13 Ciarletta, Michele
13 dell’Isola, Francesco
13 Dell’Oro, Filippo
13 El-Karamany, Ahmed S.
13 Golden, John Murrough
13 Hoger, Anne
13 Iesan, Dorin
13 Liu, Chun
13 Mariano, Paolo Maria
13 Maugin, Gérard A.
13 Mukhopadhyay, Santwana
13 Öchsner, Andreas
13 Reddy, Junuthula Narasimha
13 van der Giessen, Erik
12 Beshtokov, Murat Khamidbievich
12 Bonetti, Elena
12 Cermelli, Paolo
12 Chiriţă, Stan
12 Ezzat, Magdy A.
12 Ezzinbi, Khalil
12 Geers, Marc G. D.
12 Kiani, Keivan
12 Mi, Changwen
12 Murdoch, A. Ian
12 Novick-Cohen, Amy
12 Podio-Guidugli, Paulo
12 Rybka, Piotr
12 Truskinovsky, Lev
12 Willis, John Raymond
12 Xie, Yongqin
12 Yin, Jingxue
11 Aifantis, Elias C.
11 Bates, Peter W.
11 Bertsch, Michiel
11 Ciarlet, Philippe Gaston
11 Cimmelli, Vito Antonio
11 Fleck, Norman A.
11 Gal, Ciprian Gheorghe Sorin
...and 6,283 more Authors
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Cited in 455 Serials

307 Archive for Rational Mechanics and Analysis
294 Journal of Elasticity
289 Journal of the Mechanics and Physics of Solids
281 International Journal of Engineering Science
274 Acta Mechanica
231 Computer Methods in Applied Mechanics and Engineering
159 Journal of Mathematical Analysis and Applications
142 ZAMP. Zeitschrift für angewandte Mathematik und Physik
141 Mathematics and Mechanics of Solids
141 European Journal of Mechanics. A. Solids
136 Continuum Mechanics and Thermodynamics
106 Journal of Differential Equations
98 Journal of Computational Physics
85 Computers & Mathematics with Applications
85 Applied Mathematical Modelling
82 Mathematical Methods in the Applied Sciences
81 Computational Mechanics
78 Applied Mathematics and Computation
76 Meccanica
69 International Journal for Numerical Methods in Engineering
68 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
62 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
61 Journal of Mathematical Biology
59 Mathematical Biosciences
54 International Journal of Plasticity
53 Physica D
51 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
48 Nonlinear Analysis. Real World Applications
42 International Journal of Solids and Structures
38 Engineering Analysis with Boundary Elements
35 Applied Mathematics Letters
33 Mathematical and Computer Modelling
33 Discrete and Continuous Dynamical Systems. Series B
33 Nonlinear Analysis. Theory, Methods & Applications
30 Journal of Mathematical Physics
30 Archive of Applied Mechanics
30 Calculus of Variations and Partial Differential Equations
29 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
28 Applicable Analysis
28 Applied Mathematics and Mechanics. (English Edition)
28 Discrete and Continuous Dynamical Systems
27 Wave Motion
27 Quarterly of Applied Mathematics
27 SIAM Journal on Mathematical Analysis
27 Journal of Mathematical Sciences (New York)
26 Journal of Computational and Applied Mathematics
25 Applied Numerical Mathematics
24 Annali di Matematica Pura ed Applicata. Serie Quarta
24 Differential Equations
24 AMM. Applied Mathematics and Mechanics. (English Edition)
23 Journal of Scientific Computing
22 Discrete and Continuous Dynamical Systems. Series S
21 Journal of Nonlinear Science
21 International Journal of Fracture
21 Waves in Random and Complex Media
20 Transactions of the American Mathematical Society
20 Communications in Nonlinear Science and Numerical Simulation
20 Acta Mechanica Sinica
20 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
19 Numerical Methods for Partial Differential Equations
19 European Journal of Applied Mathematics
19 Communications in Partial Differential Equations
19 Journal of Dynamics and Differential Equations
18 Boundary Value Problems
17 Applied Mathematics and Optimization
17 SIAM Journal on Applied Mathematics
17 Evolution Equations and Control Theory
16 Rendiconti del Seminario Matematico della Università di Padova
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
16 NoDEA. Nonlinear Differential Equations and Applications
15 Journal of Engineering Mathematics
15 Japan Journal of Industrial and Applied Mathematics
15 Journal of Non-Equilibrium Thermodynamics
15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Journal of Fluid Mechanics
14 Bulletin of Mathematical Biology
14 Numerische Mathematik
14 Theoretical Population Biology
14 International Journal of Structural Stability and Dynamics
13 Physics Letters. A
13 Journal of Functional Analysis
13 Mathematics and Computers in Simulation
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Abstract and Applied Analysis
13 Journal of Mathematical Fluid Mechanics
12 Journal of Optimization Theory and Applications
12 Journal of Integral Equations and Applications
12 GAMM-Mitteilungen
11 Computers and Fluids
11 Journal of Applied Mathematics and Mechanics
11 Rocky Mountain Journal of Mathematics
11 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
11 Proceedings of the American Mathematical Society
11 Rendiconti del Circolo Matemàtico di Palermo. Serie II
11 SIAM Journal on Scientific Computing
11 Mathematical Population Studies
11 Interfaces and Free Boundaries
10 Chaos, Solitons and Fractals
10 Soviet Applied Mechanics
10 Mathematische Annalen
...and 355 more Serials
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Cited in 54 Fields

3,401 Mechanics of deformable solids (74-XX)
1,990 Partial differential equations (35-XX)
829 Fluid mechanics (76-XX)
657 Numerical analysis (65-XX)
651 Biology and other natural sciences (92-XX)
414 Classical thermodynamics, heat transfer (80-XX)
362 Integral equations (45-XX)
313 Calculus of variations and optimal control; optimization (49-XX)
286 Statistical mechanics, structure of matter (82-XX)
224 Ordinary differential equations (34-XX)
171 Operator theory (47-XX)
150 Differential geometry (53-XX)
125 Dynamical systems and ergodic theory (37-XX)
120 Systems theory; control (93-XX)
99 Probability theory and stochastic processes (60-XX)
72 Real functions (26-XX)
59 Mechanics of particles and systems (70-XX)
57 Optics, electromagnetic theory (78-XX)
54 Global analysis, analysis on manifolds (58-XX)
34 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
26 Geophysics (86-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
25 Functional analysis (46-XX)
18 Integral transforms, operational calculus (44-XX)
17 Computer science (68-XX)
16 History and biography (01-XX)
16 Difference and functional equations (39-XX)
16 Quantum theory (81-XX)
16 Operations research, mathematical programming (90-XX)
13 Approximations and expansions (41-XX)
12 Measure and integration (28-XX)
12 Special functions (33-XX)
11 Information and communication theory, circuits (94-XX)
10 Functions of a complex variable (30-XX)
10 Convex and discrete geometry (52-XX)
8 Statistics (62-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Relativity and gravitational theory (83-XX)
5 Group theory and generalizations (20-XX)
4 General and overarching topics; collections (00-XX)
4 Topological groups, Lie groups (22-XX)
4 Potential theory (31-XX)
3 Number theory (11-XX)
3 Manifolds and cell complexes (57-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 General topology (54-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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