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Gurtin, Morton Edward

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Author ID: gurtin.morton-e Recent zbMATH articles by "Gurtin, Morton Edward"
Published as: Gurtin, M. E.; Gurtin, Mortin E.; Gurtin, Morton; Gurtin, Morton E.
External Links: MGP · Wikidata
Documents Indexed: 231 Publications since 1959, including 8 Books
Biographic References: 2 Publications
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 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 Reddy, B. Dayanand
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 DiCarlo, Antonıo
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
22 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 Nonlinear Analysis. Theory, Methods & Applications
1 Oxford Mathematical Monographs

Publications by Year

Citations contained in zbMATH Open

207 Publications have been cited 7,370 times in 4,818 Documents Cited by Year
An introduction to continuum mechanics. Zbl 0559.73001
Gurtin, Morton E.
503
1981
A continuum theory of elastic material surfaces. Zbl 0326.73001
Gurtin, Morton E.; Murdoch, A. Ian
493
1975
A general theory of heat conduction with finite wave speeds. Zbl 0164.12901
Gurtin, M. E.; Pipkin, A. C.
397
1968
Non-linear age-dependent population dynamics. Zbl 0286.92005
Gurtin, Morton E.; MacCamy, Richard C.
281
1974
Surface stress in solids. Zbl 0377.73001
Gurtin, Morton E.; Murdoch, A. Ian
245
1978
On a theory of heat conduction involving two temperature. Zbl 0159.15103
Chen, P. J.; Gurtin, M. E.
221
1968
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
217
1996
On the diffusion of biological populations. Zbl 0362.92007
Gurtin, Morton E.; MacCamy, Richard C.
191
1977
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
175
1996
Configuration forces as basic concepts of continuum physics. Zbl 0951.74003
Gurtin, Morton E.
172
2000
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
Gurtin, Morton E.
168
2002
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.
140
1972
Thermomechanics of evolving phase boundaries in the plane. Zbl 0787.73004
Gurtin, Morton E.
124
1993
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
123
2000
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
113
1984
Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface. Zbl 0723.73017
Angenent, Sigurd; Gurtin, Morton E.
111
1989
On the linear theory of viscoelasticity. Zbl 0107.41007
Gurtin, M. E.; Sternberg, E.
108
1962
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
96
2005
Variational principles for linear elastodynamics. Zbl 0124.40001
Gurtin, M. E.
92
1964
The nature of configurational forces. Zbl 0836.73002
Gurtin, Morton E.
89
1995
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
81
2001
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
79
1993
Multiphase thermomechanics with interfacial structure. III: Evolving phase boundaries in the presence of bulk deformation. Zbl 0723.73018
Gurtin, Morton E.; Struthers, Allan
74
1990
Some simple models for nonlinear age-dependent population dynamics. Zbl 0397.92025
Gurtin, Morton E.; MacCamy, Richard C.
72
1979
On the thermodynamics of non-simple elastic materials with two temperatures. Zbl 0164.26104
Chen, P. J.; Gurtin, M. E.; Williams, W. O.
71
1969
Dynamic solid-solid transitions with phase characterized by an order parameter. Zbl 0812.35164
Fried, E.; Gurtin, M. E.
69
1994
Two-phase deformations of elastic solids. Zbl 0525.73054
Gurtin, Morton E.
68
1983
Variational principles in the linear theory of viscoelasticity. Zbl 0123.40803
Gurtin, M. E.
63
1963
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.
58
1965
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
56
2005
A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Zbl 1100.74530
Bittencourt, E.; Needleman, A.; Gurtin, M. E.; Van der Giessen, E.
56
2003
An axiomatic foundation for continuum thermodynamics. Zbl 0144.48302
Gurtin, M. E.; Williams, W. O.
55
1967
Variational principles for linear initial-value problems. Zbl 0173.37602
Gurtin, M. E.
55
1964
On the optimal harvesting of persistent age-structured populations. Zbl 0466.92021
Gurtin, Morton E.; Murphy, Lea F.
52
1981
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.
50
2006
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
48
2009
On the optimal harvesting of age-structured populations: Some simple models. Zbl 0467.92017
Gurtin, Morton E.; Murphy, Lea F.
47
1981
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.
44
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.
44
2004
On a framework for small-deformation viscoplasticity: Free energy, microforces, strain gradients. Zbl 1032.74521
Gurtin, Morton E.
42
2003
The thermodynamics of constrained materials. Zbl 0263.73004
Gurtin, Morton E.; Guidugli, Paolo Podio
41
1973
Multiphase thermomechanics with interfacial structure. I: Heat conduction and the capillary balance law. Zbl 0723.73016
Gurtin, Morton E.
40
1988
On dissipation inequalities and linear viscoelasticity. Zbl 0173.52703
Gurtin, M. E.; Herrera, I.
39
1965
On predator-prey interactions with predation dependent on age of prey. Zbl 0435.92023
Gurtin, Morton E.; Levine, Daniel S.
38
1979
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.
38
1968
On the thermodynamics of materials with memory. Zbl 0169.28002
Gurtin, M. E.
37
1968
On the anti-plane shear problem in finite elasticity. Zbl 0496.73036
Gurtin, Morton E.; Temam, Roger
36
1981
Gradient single-crystal plasticity with free energy dependent on dislocation densities. Zbl 1170.74013
Gurtin, Morton E.; Anand, Lallit; Lele, Suvrat P.
35
2007
On the structure of equilibrium phase transitions within the gradient theory of fluids. Zbl 0665.76120
Gurtin, Morton E.
35
1988
Configurational forces and the basic laws for crack propagation. Zbl 1054.74508
Gurtin, Morton E.; Podio-Guidugli, Paolo
34
1996
Thermodynamics and the possibility of spatial interaction in elastic materials. Zbl 0146.21106
Gurtin, M. E.
33
1965
Diffusion models for age-structured populations. Zbl 0459.92015
Gurtin, M. E.; MacCamy, Richard C.
32
1981
On interacting populations that disperse to avoid crowding: preservation of segregation. Zbl 0596.35074
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A.
31
1985
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. Zbl 1045.74016
Anand, Lallit; Gurtin, Morton E.
30
2003
Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations. Zbl 1032.74533
Cermelli, Paolo; Gurtin, Morton E.
30
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.
30
2002
Thermomechanics of the interface between a body and its environment. Zbl 1160.74303
Fried, Eliot; Gurtin, Morton E.
28
2007
The continuum mechanics of coherent two-phase elastic solids with mass transport. Zbl 0795.73009
Gurtin, Morton E.; Voorhees, Peter W.
28
1993
The dynamics of solid-solid phase transitions. I: Coherent interfaces. Zbl 0788.73017
Gurtin, Morton E.
28
1993
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.
27
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
27
2005
On populations that cannibalize their young. Zbl 0501.92021
Gurtin, Morton E.; Levine, Daniel S.
27
1982
Theorems in linear elastostatics for exterior domains. Zbl 0101.17001
Gurtin, M. E.; Sternberg, Eli
27
1961
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.
26
2008
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations. Zbl 1101.74316
Gurtin, Morton E.; Anand, Lallit
26
2005
A regularized equation for anisotropic motion-by-curvature. Zbl 0800.73021
Di Carlo, Antonio; Gurtin, Morton E.; Podio-Guidugli, Paolo
26
1992
On the two-phase Stefan problem with interfacial energy and entropy. Zbl 0654.73008
Gurtin, Morton E.
26
1986
On the relationship between the logarithmic strain rate and the stretching tensor. Zbl 0525.73048
Gurtin, Morton E.; Spear, Kathleen
25
1983
A note on interacting populations that disperse to avoid crowding. Zbl 0534.92021
Gurtin, Morton E.; Pipkin, A. C.
24
1984
Cauchy’s theorem in classical physics. Zbl 0347.73001
Gurtin, Morton E.; Martins, Luiz C.
24
1976
Geometric measure theory and the axioms of continuum thermodynamics. Zbl 0599.73002
Gurtin, Morton E.; Williams, William O.; Ziemer, William P.
23
1986
On stability and uniqueness in finite elasticity. Zbl 0426.73038
Gurtin, Morton E.; Spector, Scott J.
23
1979
A generalization of the Beltrami stress functions in continuum mechanics. Zbl 0203.26802
Gurtin, M. E.
23
1963
Thermodynamics and stability. Zbl 0341.73003
Gurtin, Morton E.
22
1975
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.
22
1966
A transport theorem for moving interfaces. Zbl 0686.73004
Gurtin, Morton E.; Struthers, Allan; Williams, William O.
20
1989
On the thermodynamics of chemically reacting fluid mixtures. Zbl 0227.76012
Gurtin, Morton E.
20
1971
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.
20
1965
The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity. Zbl 1120.74394
Gurtin, Morton E.
19
2006
On the stability against shear waves of steady flows of non-linear viscoelastic fluids. Zbl 0207.25302
Coleman, B. D.; Gurtin, M. E.
19
1968
Coherent solid-state phase transitions with atomic diffusion: A thermomechanical treatment. Zbl 0952.74053
Fried, Eliot; Gurtin, Morton E.
18
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
18
1998
On the motion of a phase interface by surface diffusion. Zbl 0850.76680
Davì, Fabrizio; Gurtin, Morton E.
18
1990
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.
18
1987
Addenda to our paper: A continuum theory of elastic material surfaces. Zbl 0349.73008
Gurtin, Morton E.; Murdoch, A. Ian
18
1975
On the growth of one-dimensional shock waves in materials with memory. Zbl 0202.25305
Chen, P. J.; Gurtin, M. E.
18
1970
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.
17
1984
A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions. Zbl 1161.76485
Fried, Eliot; Gurtin, Morton E.
16
2008
On interacting populations that disperse to avoid crowding: The case of equal dispersal velocities. Zbl 0646.92018
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.
16
1987
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.
16
1984
Population dynamics with age dependence. Zbl 0398.92023
Gurtin, M. E.; Maccamy, Richard C.
16
1979
Growth and decay of one-dimensional shock waves in fluids with internal state variables. Zbl 0216.53102
Chen, P. J.; Gurtin, M. E.
16
1971
On the thermodynamics of mixtures. I: Mixtures of rigid heat conductors. Zbl 0209.40302
Gurtin, M. E.; de la Penha, G. M.
16
1970
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
15
2008
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.
15
2005
A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047
Giga, Yoshikazu; Gurtin, Morton E.
15
1996
Thermal effects in the superelasticity of crystalline shape-memory materials. Zbl 1032.74019
Anand, Lallit; Gurtin, Morton E.
14
2003
The dynamics of solid-solid phase transitions. II: Incoherent interfaces. Zbl 0807.73006
Cermelli, Paolo; Gurtin, Morton E.
14
1994
On a nonequilibrium thermodynamics of capillarity and phase. Zbl 0704.35129
Gurtin, Morton E.
14
1989
Toward a nonequilibrium thermodynamics of two-phase materials. Zbl 0673.73007
Gurtin, Morton E.
14
1988
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
4
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
4
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.
9
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.
2
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
48
2009
Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities. Zbl 1179.74013
Gurtin, Morton E.; Reddy, B. Daya
12
2009
Gradient nanoscale polycrystalline elasticity: intergrain interactions and triple-junction conditions. Zbl 1200.74021
Fried, Eliot; Gurtin, Morton E.
8
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.
26
2008
A continuum mechanical theory for turbulence: a generalized Navier-Stokes-\(\alpha\) equation with boundary conditions. Zbl 1161.76485
Fried, Eliot; Gurtin, Morton E.
16
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
15
2008
A theory of grain boundaries that accounts automatically for grain misorientation and grain-boundary orientation. Zbl 1171.74314
Gurtin, Morton E.
10
2008
Gradient single-crystal plasticity with free energy dependent on dislocation densities. Zbl 1170.74013
Gurtin, Morton E.; Anand, Lallit; Lele, Suvrat P.
35
2007
Thermomechanics of the interface between a body and its environment. Zbl 1160.74303
Fried, Eliot; Gurtin, Morton E.
28
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.
12
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.
50
2006
The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity. Zbl 1120.74394
Gurtin, Morton E.
19
2006
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations. Zbl 1120.74353
Gurtin, Morton E.; Anand, Lallit
96
2005
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Zbl 1084.74009
Gurtin, Morton E.; Needleman, Alan
56
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.
44
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.
27
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
27
2005
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. II: Finite deformations. Zbl 1101.74316
Gurtin, Morton E.; Anand, Lallit
26
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.
15
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.
44
2004
Sharp-interface nematic-isotropic phase transitions without flow. Zbl 1060.76011
Cermelli, Paolo; Fried, Eliot; Gurtin, Morton E.
7
2004
A void-based description of compaction and segregation in flowing granular materials. Zbl 1100.74535
Fried, E.; Gurtin, M. E.; Hutter, K.
1
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.
56
2003
On a framework for small-deformation viscoplasticity: Free energy, microforces, strain gradients. Zbl 1032.74521
Gurtin, Morton E.
42
2003
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. Zbl 1045.74016
Anand, Lallit; Gurtin, Morton E.
30
2003
Thermal effects in the superelasticity of crystalline shape-memory materials. Zbl 1032.74019
Anand, Lallit; Gurtin, Morton E.
14
2003
The role of the configurational force balance in the nonequilibrium epitaxy of films. Zbl 1020.74022
Fried, Eliot; Gurtin, Morton E.
7
2003
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Zbl 1043.74007
Gurtin, Morton E.
168
2002
Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations. Zbl 1032.74533
Cermelli, Paolo; Gurtin, Morton E.
30
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.
30
2002
On the characterization of geometrically necessary dislocations in finite plasticity. Zbl 0989.74013
Cermelli, Paolo; Gurtin, Morton E.
81
2001
Configuration forces as basic concepts of continuum physics. Zbl 0951.74003
Gurtin, Morton E.
172
2000
On the plasticity of single crystals: Free energy, microforces, plastic-strain gradients. Zbl 0988.74021
Gurtin, Morton E.
123
2000
Coherent solid-state phase transitions with atomic diffusion: A thermomechanical treatment. Zbl 0952.74053
Fried, Eliot; Gurtin, Morton E.
18
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.
8
1999
Sharp-interface and phase-field theories of recrystallization in the plane. Zbl 0948.74042
Gurtin, Morton E.; Lusk, Mark T.
2
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
18
1998
On the dynamics of crystalline motions. Zbl 1306.74038
Giga, Yoshikazu; Gurtin, Morton E.; Matias, Jose’
12
1998
Configurational forces and the dynamics of planar cracks in three-dimensional bodies. Zbl 0903.73059
Gurtin, M. E.; Shvartsman, M. M.
3
1997
Dynamical theories of electromagnetism and superconductivity based on gauge invariance and energy. Zbl 0893.35124
Gurtin, Morton E.
2
1997
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Zbl 0885.35121
Gurtin, Morton E.
217
1996
Two-phase binary fluids and immiscible fluids described by an order parameter. Zbl 0857.76008
Gurtin, Morton E.; Polignone, Debra; Viñals, Jorge
175
1996
Configurational forces and the basic laws for crack propagation. Zbl 1054.74508
Gurtin, Morton E.; Podio-Guidugli, Paolo
34
1996
A comparison theorem for crystalline evolution in the plane. Zbl 0862.35047
Giga, Yoshikazu; Gurtin, Morton E.
15
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.
12
1996
On configurational inertial forces at a phase interface. Zbl 0945.74663
Gurtin, Morton E.; Podio-Guidugli, Paolo
10
1996
Semi-quadratic variational problems for multiphase equilibria. Zbl 0896.73077
Fried, Eliot; Gurtin, Morton E.
3
1996
General contact-angle conditions with and without kinetics. Zbl 0867.53061
Angenent, Sigurd; Gurtin, Morton E.
2
1996
The nature of configurational forces. Zbl 0836.73002
Gurtin, Morton E.
89
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.
8
1995
Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces. Zbl 0841.76086
Gurtin, Morton E.; Matias, José
6
1995
Dynamic solid-solid transitions with phase characterized by an order parameter. Zbl 0812.35164
Fried, E.; Gurtin, M. E.
69
1994
The dynamics of solid-solid phase transitions. II: Incoherent interfaces. Zbl 0807.73006
Cermelli, Paolo; Gurtin, Morton E.
14
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.
7
1994
The characterization of configurational forces. Addendum to: The dynamics of solid-solid phase transions. I: Coherent interfaces. Zbl 0825.73045
Gurtin, Morton E.
4
1994
Thermodynamics and the supercritical Stefan equations with nucleations. Zbl 0809.35171
Gurtin, Morton E.
3
1994
Thermomechanics of evolving phase boundaries in the plane. Zbl 0787.73004
Gurtin, Morton E.
124
1993
Continuum theory of thermally induced phase transitions based on an order parameter. Zbl 0793.35049
Fried, Eliot; Gurtin, Morton E.
79
1993
The continuum mechanics of coherent two-phase elastic solids with mass transport. Zbl 0795.73009
Gurtin, Morton E.; Voorhees, Peter W.
28
1993
The dynamics of solid-solid phase transitions. I: Coherent interfaces. Zbl 0788.73017
Gurtin, Morton E.
28
1993
A regularized equation for anisotropic motion-by-curvature. Zbl 0800.73021
Di Carlo, Antonio; Gurtin, Morton E.; Podio-Guidugli, Paolo
26
1992
On the formulation of mechanical balance laws for structured continua. Zbl 0782.73067
Gurtin, Morton E.; Podio-Guidugli, Paolo
8
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
10
1991
On the thermodynamics of viscoelastic materials of single-integral type. Zbl 0747.73006
Gurtin, Morton E.; Hrusa, William J.
10
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
74
1990
On the motion of a phase interface by surface diffusion. Zbl 0850.76680
Davì, Fabrizio; Gurtin, Morton E.
18
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.
111
1989
A transport theorem for moving interfaces. Zbl 0686.73004
Gurtin, Morton E.; Struthers, Allan; Williams, William O.
20
1989
On a nonequilibrium thermodynamics of capillarity and phase. Zbl 0704.35129
Gurtin, Morton E.
14
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.
40
1988
On the structure of equilibrium phase transitions within the gradient theory of fluids. Zbl 0665.76120
Gurtin, Morton E.
35
1988
Toward a nonequilibrium thermodynamics of two-phase materials. Zbl 0673.73007
Gurtin, Morton E.
14
1988
On energies for nonlinear viscoelastic materials of single-integral type. Zbl 0658.73026
Gurtin, Morton E.; Hrusa, William J.
10
1988
Corrections for the paper “On the two-phase Stefan problem with interfacial energy and entropy”. Zbl 0672.73080
Gurtin, Morton E.
1
1988
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.
18
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.
16
1987
Some results and conjectures in the gradient theory of phase transitions. Zbl 0634.49019
Gurtin, Morton E.
7
1987
On the two-phase Stefan problem with interfacial energy and entropy. Zbl 0654.73008
Gurtin, Morton E.
26
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.
6
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.
31
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
113
1984
A note on interacting populations that disperse to avoid crowding. Zbl 0534.92021
Gurtin, Morton E.; Pipkin, A. C.
24
1984
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.
17
1984
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.
16
1984
The gradient theory of phase transitions on a finite interval. Zbl 0579.73016
Gurtin, M. E.
13
1984
...and 107 more Documents
all top 5

Cited by 5,343 Authors

100 Gurtin, Morton Edward
41 Steinmann, Paul
39 Fabrizio, Mauro
37 Fried, Eliot
31 Morro, Angelo
29 Chen, Peter J.
29 Miranville, Alain M.
29 Vlasov, Viktor Valentinovich
28 Rautian, Nadegda Aleksandrovna
27 Schiavone, Peter
26 Colli, Pierluigi
26 Eremeyev, Victor A.
26 Guidugli, Paolo Podio
26 Quintanilla de Latorre, Ramón
25 Anand, Lallit
23 Hernández, Eduardo M.
23 Šilhavý, Miroslav
22 Wang, Xu
22 Williams, William O.
21 Garcke, Harald
21 Grasselli, Maurizio
21 Javili, Ali
20 Giga, Yoshikazu
20 Reddy, B. Dayanand
19 Coleman, Bernard David
19 Spector, Scott J.
18 Niordson, Christian F.
17 Fosdick, Roger L.
17 Roubíček, Tomáš
16 Giorgi, Claudio
16 Miehe, Christian
16 Russo, Remigio
16 Sprekels, Jürgen
15 Gilardi, Gianni
15 Marin, Marin I.
15 Neff, Patrizio
15 Polizzotto, Castrenze
15 Stefanelli, Ulisse
14 Ciarletta, Michele
13 Bowen, Ray M.
13 El-Karamany, Ahmed S.
13 Forest, Samuel
13 Hoger, Anne
13 Podio-Guidugli, Paulo
13 van der Giessen, Erik
13 Yang, Xiaofeng
12 Acharya, Amit
12 Ansari, Reza
12 Bonetti, Elena
12 Cermelli, Paolo
12 Chiriţă, Stan
12 Dai, Ming
12 Del Piero, Gianpietro
12 McBride, Andrew T.
12 Novick-Cohen, Amy
12 Nunziato, Jace W.
12 Pata, Vittorino
12 Shen, Jie
12 Tomassetti, Giuseppe
12 Vianello, Maurizio
11 Abels, Helmut
11 Bates, Peter W.
11 Bertsch, Michiel
11 Ciarlet, Philippe Gaston
11 Cimmelli, Vito Antonio
11 Fleck, Norman A.
11 Grandi, Diego
11 Iannelli, Mimmo
11 Iesan, Dorin
11 Kim, Mi-Young
11 Liu, Chun
11 Mariano, Paolo Maria
11 Novotny, Antonio André
11 Papageorgiou, Nikolaos S.
11 Rybka, Piotr
11 Segev, Reuven
11 Wheeler, Lewis T.
10 Costanzo, Francesco
10 Elliott, Charles M.
10 Ezzat, Magdy A.
10 Ezzinbi, Khalil
10 Fonseca, Irene
10 Gao, Cun-Fa
10 Gyllenberg, Mats
10 Kuhl, Ellen
10 Maugin, Gérard A.
10 Mi, Changwen
10 Mogilevskaya, Sofia G.
10 Murdoch, A. Ian
10 Nürnberg, Robert
10 Owen, David R.
10 Peletier, Lambertus Adrianus
10 Prüß, Jan Wilhelm
10 Reddy, Junuthula Narasimha
10 Rocca, Elisabetta
10 Schimperna, Giulio
10 Simpson, Henry C.
10 Steigmann, David J.
10 Suárez, Antonio
10 Svendsen, Bob
...and 5,243 more Authors
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Cited in 381 Serials

299 Archive for Rational Mechanics and Analysis
282 Journal of Elasticity
245 Journal of the Mechanics and Physics of Solids
235 Acta Mechanica
181 Computer Methods in Applied Mechanics and Engineering
157 International Journal of Engineering Science
147 Journal of Mathematical Analysis and Applications
125 Mathematics and Mechanics of Solids
123 ZAMP. Zeitschrift für angewandte Mathematik und Physik
116 Continuum Mechanics and Thermodynamics
105 European Journal of Mechanics. A. Solids
93 Journal of Differential Equations
81 Journal of Computational Physics
72 Computers & Mathematics with Applications
72 Applied Mathematics and Computation
65 Meccanica
61 Computational Mechanics
61 Applied Mathematical Modelling
58 Mathematical Biosciences
57 Journal of Mathematical Biology
56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
54 International Journal of Plasticity
54 International Journal for Numerical Methods in Engineering
44 Nonlinear Analysis. Real World Applications
42 International Journal of Solids and Structures
42 Physica D
40 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
37 Mathematical Methods in the Applied Sciences
34 Mathematical and Computer Modelling
34 Nonlinear Analysis. Theory, Methods & Applications
31 Applied Mathematics Letters
30 Archive of Applied Mechanics
28 Applied Mathematics and Mechanics. (English Edition)
26 Quarterly of Applied Mathematics
26 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
25 Applicable Analysis
24 Journal of Mathematical Physics
23 Wave Motion
23 Annali di Matematica Pura ed Applicata. Serie Quarta
23 Engineering Analysis with Boundary Elements
22 Calculus of Variations and Partial Differential Equations
22 Discrete and Continuous Dynamical Systems
21 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
21 International Journal of Fracture
20 Journal of Computational and Applied Mathematics
20 Transactions of the American Mathematical Society
20 Journal of Mathematical Sciences (New York)
20 Discrete and Continuous Dynamical Systems. Series B
18 Applied Numerical Mathematics
18 European Journal of Applied Mathematics
18 SIAM Journal on Mathematical Analysis
17 Communications in Partial Differential Equations
17 Acta Mechanica Sinica
16 Rendiconti del Seminario Matematico della Università di Padova
16 Journal of Dynamics and Differential Equations
15 Journal of Scientific Computing
15 Journal of Non-Equilibrium Thermodynamics
15 Differential Equations
14 Theoretical Population Biology
14 Japan Journal of Industrial and Applied Mathematics
14 Journal of Nonlinear Science
13 Numerische Mathematik
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
13 Abstract and Applied Analysis
13 Evolution Equations and Control Theory
12 Journal of Applied Mathematics and Mechanics
12 Bulletin of Mathematical Biology
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Journal of Integral Equations and Applications
12 SIAM Journal on Applied Mathematics
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Discrete and Continuous Dynamical Systems. Series S
11 Journal of Engineering Mathematics
11 Rocky Mountain Journal of Mathematics
11 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
10 Computers and Fluids
10 Journal of Fluid Mechanics
10 Soviet Applied Mechanics
10 Journal of Optimization Theory and Applications
10 Rendiconti del Circolo Matemàtico di Palermo. Serie II
10 Numerical Methods for Partial Differential Equations
10 Physics of Fluids
10 NoDEA. Nonlinear Differential Equations and Applications
10 Mathematical Population Studies
9 Communications in Mathematical Physics
9 Journal of Functional Analysis
9 Mathematische Zeitschrift
9 Proceedings of the American Mathematical Society
9 Acta Applicandae Mathematicae
9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
9 Acta Mathematica Sinica. English Series
9 Archives of Computational Methods in Engineering
9 Boundary Value Problems
9 AMM. Applied Mathematics and Mechanics. (English Edition)
8 Mathematics of Computation
8 Aplikace Matematiky
8 Applied Mathematics and Optimization
8 The Journal of Geometric Analysis
8 Applications of Mathematics
8 Communications on Pure and Applied Analysis
...and 281 more Serials
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Cited in 53 Fields

2,704 Mechanics of deformable solids (74-XX)
1,488 Partial differential equations (35-XX)
617 Fluid mechanics (76-XX)
529 Biology and other natural sciences (92-XX)
461 Numerical analysis (65-XX)
351 Classical thermodynamics, heat transfer (80-XX)
291 Integral equations (45-XX)
254 Calculus of variations and optimal control; optimization (49-XX)
222 Statistical mechanics, structure of matter (82-XX)
198 Ordinary differential equations (34-XX)
128 Differential geometry (53-XX)
127 Operator theory (47-XX)
100 Dynamical systems and ergodic theory (37-XX)
87 Systems theory; control (93-XX)
68 Probability theory and stochastic processes (60-XX)
51 Mechanics of particles and systems (70-XX)
45 Global analysis, analysis on manifolds (58-XX)
39 Optics, electromagnetic theory (78-XX)
29 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Real functions (26-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
20 Functional analysis (46-XX)
20 Geophysics (86-XX)
14 Difference and functional equations (39-XX)
14 Operations research, mathematical programming (90-XX)
12 Integral transforms, operational calculus (44-XX)
11 History and biography (01-XX)
10 Measure and integration (28-XX)
10 Functions of a complex variable (30-XX)
10 Information and communication theory, circuits (94-XX)
9 Computer science (68-XX)
8 Convex and discrete geometry (52-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Special functions (33-XX)
5 Quantum theory (81-XX)
5 Relativity and gravitational theory (83-XX)
4 General and overarching topics; collections (00-XX)
4 Group theory and generalizations (20-XX)
4 Potential theory (31-XX)
4 Approximations and expansions (41-XX)
3 Number theory (11-XX)
3 Topological groups, Lie groups (22-XX)
3 Manifolds and cell complexes (57-XX)
3 Statistics (62-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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