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Journal of Elasticity
Erschienen in: Journal of Elasticity 1/2022

01.06.2022

A Remembrance of Morton Edward Gurtin (b. March 7, 1934; d. April 20, 2022)

verfasst von: Roger Fosdick

Erschienen in: Journal of Elasticity | Ausgabe 1/2022

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Nächster Artikel Asymptotic Behavior of Unstable Structures Made of Beams

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Literatur
1.
Gurtin, M.E.: The characterization of configurational forces. Archive for Rational Mechanics and Analysis 126(4), 387–394 (1994) MathSciNetMATHCrossRef
2.
Cermelli, P., Gurtin, M.E.: The dynamics of solid-solid phase transitions. 2. Incoherent interfaces. Archive for Rational Mechanics and Analysis 127(1), 41–99 (1994) MathSciNetMATHCrossRef
3.
Cermelli, P., Gurtin, M.E.: On the kinematics of incoherent phase transitions. Acta Metallurgica et Materialia 42(10), 3349–3359 (1994) MATHCrossRef
4.
Gurtin, M.E., Soner, H.M., Souganidis, P.E.: Anisotropic motion of an interface relaxed by the formation of infinitesimal wrinkles. Journal of Differential Equations 119(1), 54–108 (1995) MathSciNetMATHCrossRef
5.
Gurtin, M.E., Matias, J.: Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces. Quarterly of Applied Mathematics 53(4), 761–782 (1995) MathSciNetMATHCrossRef
6.
7.
Fried, E., Gurtin, M.E.: Semi-quadratic variational problems for multiphase equilibria. Quarterly of Applied Mathematics 54(1), 73–84 (1996) MathSciNetMATHCrossRef
8.
Gurtin, M.E., Voorhees, P.W.: The thermodynamics of evolving interfaces far from equilibrium. Acta Materialia 44(1), 235–247 (1996) CrossRef
9.
Fried, E., Gurtin, M.E.: A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy. Physica D 91(1–2), 143–181 (1996) MathSciNetMATHCrossRef
10.
Gurtin, M.E.: Generalized Ginzburg–Landau and Cahn–Hilliard equations based on a microforce balance. Physica D 92(3–4), 178–192 (1996) MathSciNetMATHCrossRef
11.
Gurtin, M.E., Podio-Guidugli, P.: Configurational forces and the basic laws for crack propagation. Journal of the Mechanics and Physics of Solids 44(6), 905–927 (1996) MathSciNetMATHCrossRef
12.
Gurtin, M.E., Polignone, D., Viñals, J.: Two-phase binary fluids and immiscible fluids described by an order parameter. Mathematical Models and Methods in Applied Sciences 6(6), 815–831 (1996) MathSciNetMATHCrossRef
13.
Gurtin, M.E., Podio-Guidugli, P.: On configurational inertial forces at a phase interface. Journal of Elasticity 44(3), 255–269 (1996) MathSciNetMATHCrossRef
14.
Angenant, S., Gurtin, M.E.: General contact-angle conditions with and without kinetics. Quarterly of Applied Mathematics 54(3), 557–569 (1996) MathSciNetMATHCrossRef
15.
Giga, Y., Gurtin, M.E.: A comparison theorem for crystalline evolution in the plane. Quarterly of Applied Mathematics 54(4), 727–737 (1996) MathSciNetMATHCrossRef
16.
Gurtin, M.E., Shvartsman, M.M.: Configurational forces and the dynamics of planar cracks in three-dimensional bodies. Journal of Elasticity 48(2), 167–191 (1997) MathSciNetMATHCrossRef
17.
Gurtin, M.E.: Dynamical theories of electromagnetism and superconductivity: based on gauge invariance and energy. Archive for Rational Mechanics and Analysis 137(11), 49–97 (1997) MathSciNetMATHCrossRef
18.
Gurtin, M.E., Voorhees, P.W.: On the effects of elastic stress on the motion of fully faceted interfaces. Acta Materialia 46(6), 2103–3112 (1998) CrossRef
19.
Gurtin, M.E., Podio-Guidugli, P.: Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving. Journal of the Mechanics and Physics of Solids 46(8), 1343–1378 (1998) MathSciNetMATHCrossRef
20.
Gurtin, M.E., Weissmuller, J., Larche, F.: A general theory of curved deformable interfaces in solids at equilibrium. Philosphical Magazine A 78(5), 1093–1109 (1998) CrossRef
21.
Cermelli, P., Gurtin, M.E., Shvartsman, M.M.: A note on the thermomechanics of curvature flows in IR3 and on surfaces in \(\mathbb{R}^{3}\). Meccanica 33(6), 587–599 (1998) MathSciNetMATHCrossRef
22.
Cermelli, P., Gurtin, M.E.: The motion of screw dislocations in crystalline materials undergoing antiplane shear: glide, cross-slip, fine cross-slip. Archive for Rational Mechanics and Analysis 148(1), 3–52 (1999) MathSciNetMATHCrossRef
23.
Gurtin, M.E., Lusk, M.T.: Sharp-interface and phase-field theories of recrystallization in the plane. Physica D 130(1–2), 133–154 (1999) MathSciNetMATHCrossRef
24.
Fried, E., Gurtin, M.E.: Coherent solid-state phase transitions with atomic diffusion: a thermomechanical treatment. Journal of Statistical Physics 95(5–6), 1361–1427 (1999) MathSciNetMATHCrossRef
25.
Gurtin, M.E.: On the plasticity of single crystals: free energy, microforces, plastic-strain gradients. Journal of the Mechanics and Physics of Solids 48(5), 989–1036 (2000) MathSciNetMATHCrossRef
26.
Cermelli, P., Gurtin, M.E.: On the characterization of geometrically necessary dislocations in finite plasticity. Journal of the Mechanics and Physics of Solids 49(7), 1539–1568 (2001) MATHCrossRef
27.
Gurtin, M.E.: A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Journal of the Mechanics and Physics of Solids 50(1), 5–32 (2002) MathSciNetMATHCrossRef
28.
Gurtin, M.E., Jabbour, M.E.: Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: interface-controlled evolution, phase transitions, epitaxial growth of elastic films. Archive for Rational Mechanics and Analysis 163(3), 171–208 (2002) MathSciNetMATHCrossRef
29.
Cermelli, P., Gurtin, M.E.: Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations. International Journal of Solids and Structures 39(26), 6281–6309 (2002) MATHCrossRef
30.
Gurtin, M.E.: On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients. International Journal of Plasticity 19(1), 47–90 (2003) MATHCrossRef
31.
Bittencourt, E., Needleman, A., Gurtin, M.E., Van der Giessen, E.: A comparison of nonlocal continuum and discrete dislocation plasticity predictions. Journal of the Mechanics and Physics of Solids 51(2), 281–310 (2003) MathSciNetMATHCrossRef
32.
Fried, E., Gurtin, M.E.: The role of the configurational force balance in the nonequilibrium epitaxy of films. Journal of the Mechanics and Physics of Solids 51(3), 487–517 (2003) MathSciNetMATHCrossRef
33.
Anand, L., Gurtin, M.E.: A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. International Journal of Solids and Structures 40(6), 1465–1487 (2003) MATHCrossRef
34.
Anand, L., Gurtin, M.E.: Thermal effects in the superelasticity of crystalline shape-memory materials. Journal of the Mechanics and Physics of Solids 51(6), 1015–1058 (2003) MathSciNetMATHCrossRef
35.
Fried, E., Gurtin, M.E.: A unified treatment of evolving interfaces accounting for small deformations and atomic transport with emphasis on grain-boundaries and epitaxy. Advances in Applied Mechanics 40, 1–177 (2004) CrossRef
36.
Fried, E., Gurtin, M.E., Hutter, K.: A void-based description of compaction and segregation in flowing granular materials. Continuum Mechanics and Thermodynamics 16(1–2), 199–219 (2004) MathSciNetMATHCrossRef
37.
Cermelli, P., Fried, E., Gurtin, M.E.: Sharp-interface nematic-isotropic phase transitions without flow. Archive for Rational Mechanics and Analysis 174(2), 151–178 (2004) MathSciNetMATHCrossRef
38.
Gurtin, M.E.: A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin. Journal of the Mechanics and Physics of Solids 52(1), 2545–2568 (2005) MathSciNetMATH
39.
Gurtin, M.E., Needleman, A.: Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector. Journal of the Mechanics and Physics of Solids 53(1), 1–31 (2005) MathSciNetMATHCrossRef
40.
Gurtin, M.E., Anand, L.: The decomposition \({\bf F}={\bf F}^{e}{\bf F}^{p}\), material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous. International Journal of Plasticity 21(9), 1686–1719 (2005) MATHCrossRef
41.
Gurtin, M.E., Anand, L.: A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part II: finite deformations. International Journal of Plasticity 21(12), 2297–2318 (2005) MATHCrossRef
42.
Nicola, L., Van der Giessen, E., Gurtin, M.E.: Effect of defect energy on strain-gradient predictions of confined single-crystal plasticity. Journal of the Mechanics and Physics of Solids 53(6), 1280–1294 (2005) MathSciNetMATHCrossRef
43.
Gurtin, M.E., Anand, L.: A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part I: small deformations. Journal of the Mechanics and Physics of Solids 53(7), 1624–1649 (2005) MathSciNetMATHCrossRef
44.
Anand, L., Gurtin, M.E., Lele, S.P., Gething, C.: A one-dimensional theory of strain-gradient plasticity: formulation, analysis, numerical results. Journal of the Mechanics and Physics of Solids 53(8), 1789–1826 (2005) MathSciNetMATHCrossRef
45.
Cermelli, P., Fried, E., Gurtin, M.E.: Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces. Journal of Fluid Mechanics 544, 339–351 (2005) MathSciNetMATHCrossRef
46.
Fried, E., Gurtin, M.E., Shen, A.Q.: Theory for solvent, momentum, and energy transfer between a surfactant solution and a vapor atmosphere. Physical Review E 73, 061601 (2006) CrossRef
47.
Gurtin, M.E.: The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity. Journal of the Mechanics and Physics of Solids 54(9), 1882–1898 (2006) MathSciNetMATHCrossRef
48.
Fried, E., Gurtin, M.E.: Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales. Archive for Rational Mechanics and Analysis 182(3), 513–554 (2006) MathSciNetMATHCrossRef
49.
Gurtin, M.E., Anand, L.: A gradient theory for single-crystal plasticity. Modelling and Simulation in Materials Science and Engineering 15(1), S263–S270 (2007) CrossRef
50.
Fried, E., Gurtin, M.E.: Turbulent kinetic-energy and a possible hierarchy of length scales in a generalization of the Navier–Stokes-\(\alpha\) theory. Physical Review E 75, 056306 (2007) MathSciNetCrossRef
51.
Anderson, D.M., Cermelli, P., Fried, E., Gurtin, M.E., McFadden, G.B.: General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids. Journal of Fluid Mechanics 581, 323–370 (2007) MathSciNetMATHCrossRef
52.
Gurtin, M.E., Anand, L., Lele, S.P.: Gradient single-crystal plasticity with free energy dependent on dislocation densities. Journal of the Mechanics and Physics of Solids 55(9), 1853–1878 (2007) MathSciNetMATHCrossRef
53.
Fried, E., Gurtin, M.E.: Thermomechanics of the interface between a body and its environment. Continuum Mechanics and Thermodynamics 19(5), 253–271 (2008) MathSciNetMATHCrossRef
54.
Gurtin, M.E., Anand, L.: Nanocrystalline grain boundaries that slip and separate: a gradient theory that accounts for grain-boundary stress and conditions at a triple-junction. Journal of the Mechanics and Physics of Solids 56(1), 184–199 (2008) MathSciNetMATHCrossRef
55.
Gurtin, M.E.: A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on densities of geometrically necessary dislocations. International Journal of Plasticity 24(4), 702–725 (2008) MATHCrossRef
56.
Gurtin, M.E.: A theory of grain boundaries that accounts automatically for grain misorientation and grain-boundary orientation. Journal of the Mechanics and Physics of Solids 56(2), 640–662 (2008) MathSciNetMATHCrossRef
57.
Fried, E., Gurtin, M.E.: A continuum mechanical theory for turbulence: a generalized Navier–Stokes-\(\alpha\) equation with boundary conditions. Theoretical and Computational Fluid Dynamics 22(6), 433–470 (2009) MATHCrossRef
58.
Gurtin, M.E., Anand, L.: Thermodynamics applied to gradient theories involving the accumulated plastic strain: the theories of Aifantis and Fleck and Hutchinson and their generalization. Journal of the Mechanics and Physics of Solids 57(3), 405–421 (2009) MathSciNetMATHCrossRef
59.
Kim, T.-Y., Cassiani, M., Albertson, J.D., Fried, E., Gurtin, M.E.: Impact of the inherent separation of scales in the Navier–Stokes-\(\alpha\beta\) equations. Physical Review E 79, 045307(R) (2009) MathSciNetCrossRef
60.
Gurtin, M.E., Reddy, B.D.: Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities. Continuum Mechanics and Thermodynamics 21(3), 237–250 (2009) MathSciNetMATHCrossRef
61.
Fried, E., Gurtin, M.E.: Gradient nanoscale polycrystalline elasticity: intergrain interactions and triple-junction conditions. Journal of the Mechanics and Physics of Solids 57(10), 1749–1779 (2009) MathSciNetMATHCrossRef
62.
Gurtin, M.E.: A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations. International Journal of Plasticity 26(8), 1073–1096 (2010) MATHCrossRef
63.
Fried, E., Gurtin, M.E.: Erratum: Turbulent kinetic-energy and a possible hierarchy of length scales in a generalization of the Navier–Stokes-\(\alpha\) theory. Physical Review E 82, 029905 (2010) CrossRef
64.
Fried, E., Gurtin, M.E.: Corrigendum to “Ã’Gradient nanoscale polycrystalline elasticity: intergrain interactions and triple-junction conditions”. Journal of the Mechanics and Physics of Solids 58(10), 1567–1570 (2010) MathSciNetMATHCrossRef
65.
Gurtin, M.E., Fried, E., Anand, L.: The Mechanics and Thermodynamics of Continua. Cambridge University Press, Cambridge (2010) CrossRef
66.
Gurtin, M.E., Ohno, N.: A gradient theory of small-deformation, single-crystal plasticity that accounts for GND-induced interactions between slip systems. Journal of the Mechanics and Physics of Solids 59(2), 320–343 (2011) MathSciNetMATHCrossRef
67.
Fried, E., Gurtin, M.E.: Corrigendum to “A continuum mechanical theory for turbulence: a generalized Navier–Stokes-\(\alpha\) equation with boundary conditions”. Theoretical and Computational Fluid Dynamics 25, 447–449 (2011) MATHCrossRef
68.
Gurtin, M.E., Reddy, B.D.: Gradient single-crystal plasticity within a Mises–Hill framework based on a new formulation of self- and latent-hardening. Journal of the Mechanics and Physics of Solids 68, 134–160 (2014) MathSciNetMATHCrossRef
69.
Anand, L., Gurtin, M.E., Reddy, B.D.: The stored energy of cold work, thermal annealing, and other thermodynamic issues in single crystal plasticity at small length scales. International Journal of Plasticity 64, 1–25 (2015) CrossRef
70.
Gurtin, M.E., Reddy, B.D.: Some issues associated with the intermediate space in single-crystal plasticity. Journal of the Mechanics and Physics of Solids 95, 230–238 (2016) MathSciNetMATHCrossRef
Metadaten
Titel
A Remembrance of Morton Edward Gurtin (b. March 7, 1934; d. April 20, 2022)
verfasst von
Roger Fosdick
Publikationsdatum
01.06.2022
Verlag
Springer Netherlands
Erschienen in
Journal of Elasticity / Ausgabe 1/2022
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI
https://doi.org/10.1007/s10659-022-09896-2

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