Morton Gurtin

Q: What Schools Are Affiliated With Morton Gurtin

Morton Gurtin is affiliated with the following schools: Rensselaer Polytechnic Institute, Brown University, Carnegie Mellon University

Morton Gurtin's AcademicInfluence.com Rankings

Morton Gurtin

Engineering

#420

World Rank

#719

Historical Rank

#192

USA Rank

Mechanical Engineering

#25

World Rank

#34

Historical Rank

#19

USA Rank

Applied Physics

#45

World Rank

#47

Historical Rank

#20

USA Rank

engineering Degrees

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Engineering

Morton Gurtin's Degrees

PhD Mechanical Engineering Carnegie Mellon University
Masters Mechanical Engineering Carnegie Mellon University
Bachelors Mechanical Engineering Carnegie Mellon University

Why Is Morton Gurtin Influential?

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According to Wikipedia, Morton E. Gurtin was a mechanical engineer who became a mathematician and mathematical physicist. He was an emeritus professor of mathematical sciences at Carnegie-Mellon University, where for many years he held an endowed chair as the Alumni Professor of Mathematical Science. His main work is in materials science, in the form of the mathematical, rational mechanics of non-linear continuum mechanics and thermodynamics, in the style of Clifford Truesdell and Walter Noll, a field also known under the combined name of continuum thermomechanics. He has published over 250 papers, many among them in Archive for Rational Mechanics and Analysis, as well as a number of books.

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Morton Gurtin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A continuum theory of elastic material surfaces (1975) (2645)
Thermodynamics with Internal State Variables (1967) (1575)
Surface stress in solids (1978) (1460)
An introduction to continuum mechanics (1981) (1360)
The Mechanics and Thermodynamics of Continua (2010) (1110)
A general theory of heat conduction with finite wave speeds (1968) (1067)
Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance (1996) (858)
The Linear Theory of Elasticity (1973) (818)
A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations (2002) (792)
On a theory of heat conduction involving two temperatures (1968) (678)
Configurational Forces as Basic Concepts of Continuum Physics (1999) (669)
Non-linear age-dependent population dynamics (1974) (615)
TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER (1995) (515)
On the plasticity of single crystals: free energy, microforces, plastic-strain gradients (2000) (498)
On the diffusion of biological populations (1977) (480)
Thermomechanics of Evolving Phase Boundaries in the Plane (1993) (419)
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part I: Small deformations (2005) (373)
On the thermodynamics of non-simple elastic materials with two temperatures (1969) (350)
Addenda to our paper A continuum theory of elastic material surfaces (1975) (342)
Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface (1989) (337)
Structured phase transitions on a finite interval (1984) (294)
Variational principles for linear elastodynamics (1964) (294)
Multiphase thermomechanics with interfacial structure (1990) (290)
The nature of configurational forces (1995) (287)
Equipresence and constitutive equations for rigid heat conductors (1967) (278)
On the characterization of geometrically necessary dislocations in finite plasticity (2001) (272)
Continuum theory of thermally induced phase transitions based on an order parameter (1993) (264)
Dynamic solid-solid transitions with phase characterized by an order parameter (1994) (252)
Variational principles for linear initial-value problems (1964) (249)
A theory of amorphous solids undergoing large deformations, with application to polymeric glasses (2003) (242)
Thermodynamics applied to gradient theories involving the accumulated plastic strain : The theories of Aifantis and Fleck and Hutchinson and their generalization (2009) (224)
On a framework for small-deformation viscoplasticity: free energy, microforces, strain gradients (2003) (212)
An axiomatic foundation for continuum thermodynamics (1967) (201)
Boundary conditions in small-deformation, single-crystal plasticity that account for the Burgers vector (2005) (194)
Gradient single-crystal plasticity with free energy dependent on dislocation densities (2007) (190)
Effect of surface stress on the natural frequency of thin crystals (1976) (180)
Waves in materials with memory (1965) (180)
A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin (2004) (173)
Thermal effects in the superelasticity of crystalline shape-memory materials (2003) (172)
On the Nonlinear Theory of Elasticity (1978) (171)
A one-dimensional theory of strain-gradient plasticity : Formulation, analysis, numerical results (2005) (163)
A comparison of nonlocal continuum and discrete dislocation plasticity predictions (2003) (162)
Two-phase deformations of elastic solids (1983) (161)
Tractions, Balances, and Boundary Conditions for Nonsimple Materials with Application to Liquid Flow at Small-Length Scales (2006) (155)
Some simple models for nonlinear age-dependent population dynamics (1979) (141)
The decomposition F = FeFp, material symmetry, and plastic irrotationality for solids that are isotropic-viscoplastic or amorphous (2005) (140)
A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. Part II: Finite deformations (2005) (139)
Waves in materials with memory (1965) (136)
Configurational forces and the basic laws for crack propagation (1996) (130)
A regularized equation for anisotropic motion-by-curvature (1992) (124)
A finite-deformation, gradient theory of single-crystal plasticity with free energy dependent on the accumulation of geometrically necessary dislocations (2008) (123)
Geometrically necessary dislocations in viscoplastic single crystals and bicrystals undergoing small deformations (2002) (122)
Letter: A system of equations for age-dependent population diffusion. (1973) (122)
Multiphase thermomechanics with interfacial structure 1. Heat conduction and the capillary balance law (1988) (121)
Variational principles in the linear theory of viscoelusticity (1963) (121)
Interface Evolution in Three Dimensions¶with Curvature-Dependent Energy¶and Surface Diffusion:¶Interface-Controlled Evolution, Phase Transitions, Epitaxial Growth of Elastic Films (2002) (119)
On dissipation inequalities and linear viscoelasticity (1965) (119)
A theory of grain boundaries that accounts automatically for grain misorientation and grain-boundary orientation (2008) (116)
On the J-integral for Bi-material bodies (1977) (115)
A Unified Treatment of Evolving Interfaces Accounting for Small Deformations and Atomic Transport with Emphasis on Grain-Boundaries and Epitaxy (2004) (115)
Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces (2005) (114)
The continuum mechanics of coherent two-phase elastic solids with mass transport (1993) (104)
On a Model for Two Phase Diffusion in Composite Materials (1979) (102)
Thermodynamics and the possibility of spatial interaction in elastic materials (1965) (102)
On a theory of phase transitions with interfacial energy (1985) (101)
On the Relationship between the Logarithmic Strain Rate and the Stretching Tensor (1983) (99)
On the Clausius-Duhem inequality (1966) (98)
Effect of surface stress on wave propagation in solids (1976) (94)
On the structure of equilibrium phase transitions within the gradient theory of fluids (1988) (92)
Thermomechanics of the interface between a body and its environment (2007) (92)
The thermodynamics of constrained materials (1973) (90)
The dynamics of solid-solid phase transitions 2. Incoherent interfaces (1993) (89)
Cauchy's theorem in classical physics (1976) (85)
On the energy release rate in quasi-static elastic crack propagation (1979) (85)
Waves in materials with memory (1965) (83)
On the optimal harvesting of persistent age-structured populations (1981) (83)
Diffusion models for age-structured populations (1981) (79)
Topics in finite elasticity (1981) (78)
Some Results and Conjectures in the Gradient Theory of Phase Transitions (1987) (78)
On the thermodynamics of materials with memory (1968) (73)
On predator-prey interactions with predation dependent on age of prey (1979) (71)
Thermodynamics and stability (1975) (71)
Simple Rate-Independent Model for Damage (1981) (71)
On the two-phase Stefan problem with interfacial energy and entropy (1985) (70)
On the optimal harvesting of age-structured populations: Some simple models☆ (1981) (70)
Coherent Solid-State Phase Transitions with Atomic Diffusion: A Thermomechanical Treatment (1999) (69)
On interacting populations that disperse to avoid crowding: preservation of segregation (1985) (68)
On the motion of a phase interface by surface diffusion (1990) (67)
Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving (1998) (63)
Six Lectures on Modern Natural Philosophy (1966) (62)
A generalization of the Beltrami stress functions in continuum mechanics (1963) (62)
On the classical theory of reacting fluid mixtures (1971) (61)
On the evolution of phase boundaries (1992) (61)
Effect of defect energy on strain-gradient predictions of confined single-crystal plasticity (2005) (58)
General dynamical sharp-interface conditions for phase transformations in viscous heat-conducting fluids (2007) (58)
A transport theorem for moving interfaces (1989) (58)
Nanocrystalline grain boundaries that slip and separate: A gradient theory that accounts for grain-boundary stress and conditions at a triple-junction (2008) (57)
Waves in materials with memory IV. Thermodynamics and the velocity of general acceleration waves (1965) (57)
The Burgers vector and the flow of screw and edge dislocations in finite-deformation single-crystal plasticity (2006) (57)
On phase transitions with bulk, interfacial, and boundary Energy (1986) (56)
The stored energy of cold work, thermal annealing, and other thermodynamic issues in single crystal plasticity at small length scales (2014) (55)
Thermodynamics and the griffith criterion for brittle fracture (1979) (55)
Geometric measure theory and the axioms of continuum thermodynamics (1986) (54)
Sharp-Interface Nematic–Isotropic Phase Transitions without Flow (2004) (53)
Toward a nonequilibrium thermodynamics of two-phase materials (1988) (52)
A comparison theorem for crystalline evolution in the plane (1994) (52)
A unified treatment of evolving interfaces accounting for small deformations and atomic transport: grain-boundaries, phase transitions, epitaxy (2003) (51)
On the growth of one-dimensional shock waves in materials with memory (1970) (50)
Thermodynamics and the cohesive zone in fracture (1979) (49)
ON POPULATIONS THAT CANNIBALIZE THEIR YOUNG (1982) (49)
On the wrinkling of a free surface (1977) (49)
Product solutions and asymptotic behavior for age-dependent, dispersing populations (1982) (49)
The dynamics of solid-solid phase transitions. (1992) (46)
ON THE GROWTH AND DECAY OF DISCONTINUITIES IN FLUIDS WITH INTERNAL STATE VARIABLES. (1967) (46)
Time-reversal and symmetry in the thermodynamics of materials with memory (1972) (46)
The thermodynamics of evolving interfaces far from equilibrium (1996) (46)
A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy (1996) (46)
On second sound in materials with memory (1970) (46)
A note on interacting populations that disperse to avoid crowding (1984) (42)
Waves in materials with memory (1966) (41)
On the dynamics of crystalline motions (1998) (41)
Fundamental contributions to the continuum theory of evolving phase interfaces in solids : a collection of reprints of 14 seminal papers, dedicated to Morton E. Gurtin on the occasion of his sixty-fifth birthday (1999) (40)
Anisotropic Motion of an Interface Relaxed by the Formation of Infinitesimal Wrinkles (1995) (40)
On the formulation of mechanical balance laws for structured continua (1992) (40)
Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities (2009) (40)
On stability and uniqueness in finite elasticity (1979) (39)
A continuum mechanical theory for turbulence: a generalized Navier–Stokes-α equation with boundary conditions (2008) (39)
Gradient single-crystal plasticity within a Mises–Hill framework based on a new formulation of self- and latent-hardening (2014) (39)
On Helmholtz's theorem and the completeness of the Papkovich-Neuber stress functions for infinite domains (1962) (39)
Phase Transformation and Material Instabilities in Solids (1984) (39)
IV – Modern Continuum Thermodynamics (1974) (39)
A NOTE ON CAUCHY'S STRESS THEOREM (1968) (39)
On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials (1980) (38)
Wave propagation in the linear theory of viscoelasticity (1965) (37)
On a nonequilibrium thermodynamics of capillarity and phase (1989) (37)
On the stability against shear waves of steady flows of non-linear viscoelastic fluids (1968) (37)
A Coordinate Transformation for the Porous Media Equation that Renders the Free-Boundary Stationary. (1984) (36)
Growth and Decay of One‐Dimensional Shock Waves in Fluids with Internal State Variables (1971) (36)
On the thermodynamics of mixtures (1970) (35)
A correspondence principle for viscoelastic wave propagation (1965) (35)
Anisotropic motion of a phase interface. (1991) (34)
A gradient theory of small-deformation, single-crystal plasticity that accounts for GND-induced interactions between slip systems (2011) (33)
On thermomechanical laws for the motion of a phase interface (1991) (32)
Some mathematical models for population dynamics that lead to segregation (1974) (32)
On interfacing populations that disperse to avoid crowding: the case of equal dispersal velocities (1987) (31)
The Motion of Screw Dislocations in Crystalline Materials Undergoing Antiplane Shear: Glide, Cross‐Slip, Fine Cross‐Slip (1999) (31)
A gradient theory for single-crystal plasticity (2006) (31)
On the anti-plane shear problem in finite elasticity (1981) (31)
On the energy release rate in elastodynamic crack propagation (1980) (30)
The role of the configurational force balance in the nonequilibrium epitaxy of films (2003) (30)
On the first law of thermodynamics (1971) (30)
One-dimensional structured phase transformations under prescribed loads (1985) (29)
Thermodynamics and the energy criterion for stability (1973) (29)
On energies for nonlinear viscoelastic materials of single-integral type (1988) (28)
Nonlinear Viscoelasticity and the Evolution of Stress Waves in Laminated Composites: A Comparison of Theory and Experiment (1974) (28)
On the Growth and Decay of One-Dimensional Acceleration Waves (1965) (28)
A void-based description of compaction and segregation in flowing granular materials (2004) (26)
The Growth of One-Dimensional Shock Waves in Elastic Nonconductors (1972) (26)
On wave propagation in inextensible elastic bodies (1974) (26)
The Velocity of One-Dimensional Shock and Acceleration Waves (1965) (26)
Thermodynamics and the possibility of spatial interaction in rigid heat conductors (1965) (26)
Gradient nanoscale polycrystalline elasticity: Intergrain interactions and triple-junction conditions (2009) (25)
Thermodynamics and the supercritical Stefan equations with nucleations (1994) (25)
A one-dimensional viscoplastic constitutive theory for filled polymers (1984) (25)
On a degenerate diffusion equation of the form c(z)t = ϑ(zx)x with application to population dynamics (1987) (25)
A NOTE ON UNIQUENESS IN CLASSICAL ELASTODYNAMICS (1961) (25)
A hyperbolic theory for the evolution of plane curves (1991) (25)
Theory for solvent, momentum, and energy transfer between a surfactant solution and a vapor atmosphere. (2006) (23)
On the thermodynamics of elastic materials (1967) (23)
On a path-independent integral for elastodynamics (1976) (22)
On configurational inertial forces at a phase interface (1996) (22)
On the effects of elastic stress on the motion of fully faceted interfaces. (1998) (22)
On the thermodynamics of viscoelastic materials of single-integral type (1991) (22)
On the kinematics of incoherent phase transitions (1994) (22)
The dynamics of solid-solid phase transitions 1. Coherent interfaces (1993) (21)
Sharp-interface and phase-field theories of recrystallization in the plane (1999) (21)
Some questions and open problems in continuum mechanics and population dynamics (1983) (20)
Turbulent kinetic energy and a possible hierarchy of length scales in a generalization of the Navier-Stokes alpha theory. (2007) (20)
Second-gradient fluids: A theory for incompressible flows at small length scales (2005) (20)
A uniqueness theorem for the displacement boundary-value problem of linear elastodynamics (1965) (20)
On the inclusion of the complete symmetry group in the unimodular group (1966) (20)
A Principle of Minimum Transformed Energy in Linear Elastodynamics (1970) (19)
On fluids of grade n (1986) (19)
On balance of forces for mixtures (1973) (18)
A RECIPROCAL THEOREM IN THE LINEAR THEORY OF ANISOTROPIC VISCOELASTIC SOLIDS (1963) (18)
Configurational Forces and the Dynamics of Planar Cracks in Three-Dimensional Bodies (1997) (17)
The characterization of configurational forces (1994) (17)
Thermomechanics and the formulation of the Stefan problem for fully faceted interfaces (1995) (16)
A short proof of the representation theorem for isotropic, linear stress-strain relations (1974) (15)
On the symmetry of the conductivity tensor and other restrictions in the nonlinear theory of heat conduction (1969) (15)
Thermodynamic influences on the growth of one-dimensional shock waves in materials with memory (1972) (15)
Thermodynamics and the potential energy of an elastic body (1973) (15)
On the breaking of water waves on a sloping beach of arbitrary shape (1975) (14)
Impact of the inherent separation of scales in the Navier-Stokes- alphabeta equations. (2009) (14)
A mechanical theory for crystallization of a rigid solid in a liquid melt; melting-freezing waves (1990) (13)
On the Propagation of One-Dimensional Acceleration Waves in Laminated Composites (1973) (13)
Some Remarks on the Stefan Problem with Surface Structure. Stability and Thermal Influences in Nonlinear Continuum Mechanics (1990) (13)
Surface stress and the equilibrium shape of an elastic crystal (1977) (13)
On optimal temperature paths for thermorheologically simple viscoelastic materials (1980) (12)
Erratum: Turbulent kinetic-energy and a possible hierarchy of length scales in a generalization of the Navier-Stokes-a theory [Phys. Rev. E 75, 056306 (2007)] (2010) (10)
General contact-angle conditions with and without kinetics (1996) (10)
Some issues associated with the intermediate space in single-crystal plasticity (2016) (10)
Evolving phase boundaries in deformable continua (1991) (10)
On the Hypoelastic Formulation of Plasticity Using the Past Maximum of Stress (1983) (10)
THERMODYNAMICS AND WAVE PROPAGATION. (1966) (9)
A theory of amorphous solids undergoing large deformations, with applications to polymers and metallic glasses (9)
On patched variational principles with application to elliptic and mixed elliptic-hyperbolic problems (1977) (8)
Variational Principle for the Time‐Dependent Schrödinger Equation (1965) (8)
Thermodynamic Influences on the Growth and Decay of Acceleration Waves (1965) (8)
Thermodynamics and the Velocity of General Acceleration Waves (1965) (8)
On Nontrivial Solutions for a Compressed Linear Viscoelastic Rod (1982) (7)
On continuum thermodynamics with mutual body forces and internal radiation (1971) (7)
On the semi-discrete Galerkin method for hyperbolic problems and its application to problems in elastodynamics (1972) (7)
On the Use of Experimental Results Concerning Steady Shock Waves to Predict the Acceleration Wave Response of Nonlinear Viscoelastic Materials (1972) (7)
On optimal strain paths in linear viscoelasticity (1979) (7)
A note on the principle of minimum potential energy for linear anisotropic elastic solids (1963) (7)
Shock Amplitude Variation in Polymethyl Methacrylate for Fixed Values of the Strain Gradient (1970) (6)
Extension of Nadai’s Sand Hill Analogy to Multiply Connected Cross Sections (1961) (6)
THE GRADIENT THEORY OF PHASE TRANSITIONS ON A FINITE INTERVAL (1984) (6)
The Mechanics and Thermodynamics of Continua: Two New Stresses (2010) (6)
On diffusion in two-phase systems: the sharp interface versus the transition layer (1989) (5)
Semi-quadratic variational problems for multiphase equilibria (1996) (5)
On patched variational principles in elasticity (1980) (5)
THERMODYNAMICS AND WAVE PROPAGATION IN NONLINEAR MATERIALS WITH MEMORY. (1968) (5)
Phases of elastic materials (1967) (5)
Cosserat fluids and the continuum mechanics of turbulence: A generalized Navier-Stokes-alpha equation with complete boundary conditions (2006) (5)
Thermodynamics of Elastic Materials (1971) (4)
Dynamical Theories of Electromagnetism and Superconductivity Based on Gauge Invariance and Energy (1997) (4)
On Optimal Harvesting with an Application to Age-Structured Populations. (1981) (4)
On stability in the classical linear theory of fluid mixures (1976) (4)
Two-phase continuum mechanics with transport and stress (1991) (4)
Cosserat fluids and the continuum mechanics of turbulence : a generalized Navier – Stokes-α equation with complete boundary conditions By (2006) (4)
Some remarks on the mechanical theory of fluid mixtures (1972) (4)
Corrigendum to “A continuum mechanical theory for turbulence: a generalized Navier–Stokes-α equation with boundary conditions” (2011) (4)
Some conservation laws in linear elasticity for pairs of fields (1977) (4)
On a continuum-mechanical theory for turbulence (2007) (4)
The Mechanics and Thermodynamics of Continua: Fourier's Law (2010) (4)
The effect of accelerometer low-frequency response on transient measurements (1961) (4)
On uniqueness and bifurcation in nonlinear viscoelasticity (1980) (4)
Energies for incoherent films: an analytical approach (1999) (4)
Corrections for the paper (1988) (3)
A generalization of the Lamé and somigliana stress functions for the dynamic linear theory of viscoelastic solids (1965) (3)
Extrinsically Induced Acceleration Waves in Elastic Bodies (1967) (3)
A Note on Functionals Continuous with Respect to an Operator (1964) (3)
On the existence of a single temperature in continuum thermodynamics (1976) (3)
A note on rigid fields (1976) (3)
The Unifying Nature of the Configurational Force Balance (2005) (3)
ACCELERATION WAVES IN NONLINEAR MATERIALS. (1965) (3)
On Uniqueness in Finite Elasticity (1981) (3)
Foundations of Thermodynamics (1984) (3)
The Mechanics and Thermodynamics of Continua: Formulation of Initial/Boundary-Value Problems for the Mises Flow Equations as Variational Inequalities (2010) (2)
ON THE SIGN OF THE SPECIFIC HEAT (1976) (2)
Some properties of gases with vibrational relaxation when viewed as materials with memory (1967) (2)
Thermodynamics and Constitutive Restrictions: The Coleman–Noll Procedure (2010) (2)
The Burgers Vector and the Flow of Screw and Edge Dislocations (2010) (2)
On a simple rate-independent model for damage (1980) (2)
A model for viscoplastic materials with temperature dependence (1989) (2)
Phase transformations and material instabilities in solids : proceedings of a conference conducted by the Mathematics Research Center, the University of Wisconsin--Madison, October 11-13, 1983 (1984) (2)
Digression: The Thermodynamic Laws in the Presence of Species Transport (2010) (2)
Corrigendum to “Gradient nanoscale polycrystalline elasticity: Intergrain interactions and triple-junction conditions”: [Journal of the Mechanics and Physics of Solids 57 (2009), 1749–1779] (2010) (2)
Planar motion of an anisotropic interface (1993) (2)
On predator-prey dispersal, repulsive dispersal, and the presence of shock waves (1986) (2)
A Note on the Thermomechanics of Curvature Flows in IR3 and on Surfaces in IR3 (1998) (2)
Generalized phase field theories (1994) (2)
General Dynamical Sharp-interface Conditions for Two-phase Viscous Heat-Conducting Fluids (2007) (1)
Optimal Strain Paths in Linear Viscoelasticity: The Effect of the Past History (1980) (1)
Dynamics of evolving phase boundaries in deformable continua (1992) (1)
The Galerkin method as applied to problems in viscoelasticity (1974) (1)
Basic Single-Crystal Kinematics (2010) (1)
On the Buckling of Linear Viscoelastic Rods. (1981) (1)
Frame-Indifference Principle (2010) (1)
The Mechanics and Thermodynamics of Continua: VECTOR AND TENSOR ANALYSIS (2010) (1)
SPECIES DIFFUSION COUPLED TO ELASTICITY (2010) (1)
On the formulation of mehcanical [i.e., mechanical] balance laws for structured continua (1991) (1)
Balance of Mass (2020) (1)
The Mechanics and Thermodynamics of Continua: Forces and Moments. Balance Laws for Linear and Angular Momentum (2010) (1)
The Equation c(z)t = phi(zx)x: the Free Boundary Induced by a Discontinuity in the Derivative of c. (1985) (1)
FREQUENCY RESPONSE OF NON-LINEAR VISCOELASTIC SOLIDS, (1964) (1)
VECTOR AND TENSOR ALGEBRA (2010) (1)
Optimal temperature paths for thermorheologically simple viscoelastic materials with constant Poisson’s ratio are canonical (1984) (1)
The kinematics of geometrically necessary dislocations in finite plasticity (2002) (1)
The Mechanics and Thermodynamics of Continua: Preface (2010) (1)
The Mechanics and Thermodynamics of Continua: Free-Energy Imbalance Revisited. Chemical Potential (2010) (1)
Formulation of the Conventional Theory. Preliminaries (2010) (0)
Uniqueness and Stability in Nonlinear Elasticity and Viscoelasticity. (1985) (0)
The Mechanics and Thermodynamics of Continua: MECHANICAL AND THERMODYNAMICAL LAWS AT A SHOCK WAVE (2010) (0)
Hardening Characterized by a Defect Energy (2010) (0)
Material and Spatial Integration (2010) (0)
Thermodynamics and Wave Propagation in Elastic and Vi Scoelastic Media (2011) (0)
THE MECHANICAL THEORY OF COMPRESSIBLE AND INCOMPRESSIBLE FLUIDS (2010) (0)
Mass Balance for a Single Diffusing Species (2010) (0)
The Mechanics and Thermodynamics of Continua: The Gradient Theory of Gurtin and Anand (2010) (0)
The Mechanics and Thermodynamics of Continua: Elastic Fluids (2010) (0)
Natural Reference Configuration (2010) (0)
The Second Law: Nonnegative Production of Entropy (2010) (0)
Yield Surface. Yield Function. Consistency Condition (2010) (0)
Conventional Theory of Single-Crystals (2010) (0)
Natural Reference Configuration for a Given Temperature (2010) (0)
Evolving Phase Boundaries in the Presence of Deformation and Surface Stress (1992) (0)
The Mechanics and Thermodynamics of Continua: Rate-Dependent Plastic Materials (2010) (0)
Corrections to our paper (1968) (0)
The Mechanics and Thermodynamics of Continua: THEORY OF ISOTROPIC PLASTIC SOLIDS UNDERGOING SMALL DEFORMATIONS (2010) (0)
ON THE MECHANICAL THEORY OF FLUID MIXTURES * By (2016) (0)
The Mechanics and Thermodynamics of Continua: Differentiation (2010) (0)
Mechanical Laws for a Spatial Control Volume (2010) (0)
The Mechanics and Thermodynamics of Continua: References (2010) (0)
Conventional Theory Based on the Principle of Virtual Power (2010) (0)
Some Phenomenological Aspects of the Elastic-Plastic Stress-Strain Response of PolycrystallineMetals] (2010) (0)
QUARTERLY OF APPLIED MATHEMATICS (2016) (0)
A GENERALIZATION OF THE LAME AND SOMIGLIANA STRESS FUNCTIONS FOR THE DYNAMIC THEORY OF LINEAR VOSCOELASTIC SOLIDS (1964) (0)
11. Variational Formulation (1981) (0)
On the isothermal motion of a phase interface (1990) (0)
Final Report for Grant No . DE-FG 0201 ER 25439 (2004) (0)
A NOTE ON CAUCHY'S THEOREM, (1967) (0)
Taylor's Model of Polycrystal (2010) (0)
Continuum Mechanical and Computational Aspects of Material Behavior (2000) (0)
The Mechanics and Thermodynamics of Continua: KINEMATICS (2010) (0)
Summary of Basic Equations for a Single Species (2010) (0)
One-dimensional structured phase transitions on finite intervals (1984) (0)
The Mechanics and Thermodynamics of Continua: General Considerations (2010) (0)
Virtual-Power Formulation of the Standard and Microscopic Force Balances (2010) (0)
The Mechanics and Thermodynamics of Continua: BASIC MECHANICAL PRINCIPLES (2010) (0)
The Mechanics and Thermodynamics of Continua: Constitutive Response Functions (2010) (0)
Summary of Basic Equations. Initial/Boundary-Value Problems (2010) (0)
The Mechanics and Thermodynamics of Continua: Substitutional Alloys (2010) (0)
9. The Elasticity Tensor (1981) (0)
Continuum mechanical and computational aspects of phase field elasticity as applied to phase transitions and fracture. Final report: DE-FG02-97ER25318, June 1, 1997 - May 31, 2000 (2001) (0)
OSi If A Comparison Theorem For Crystalline Evolution In The Plane Yoshikazu Giga Hokkaido University (2015) (0)
The Mechanics and Thermodynamics of Continua: Incompressible Elastic Materials (2010) (0)
Approximately Incompressible Elastic Materials (2010) (0)
BASIC THERMODYNAMICAL PRINCIPLES (2010) (0)
The Mechanics and Thermodynamics of Continua: MECHANICAL THEORY OF ELASTIC SOLIDS (2010) (0)
A Mathematical Contribution to Gibbs’s Analysis of Fluid Phases in Equilibrium (1989) (0)
Basic Laws at a Shock Wave: Jump Conditions (2010) (0)
The Mechanics and Thermodynamics of Continua: Material Symmetry (2010) (0)
The Mechanics and Thermodynamics of Continua: Integral Theorems (2010) (0)
Stability and uniqueness in nonlinear continuum mechanics (1988) (0)
The Mechanics and Thermodynamics of Continua: The Linear Theory of Elasticity (2010) (0)
Summary of Basic Equations for N Independent Species (2010) (0)
Material and Spatial Descriptions of Fields (2010) (0)
The Mechanics and Thermodynamics of Continua: Stretching and Spin in an Arbitrary Motion (2010) (0)
The Mechanics and Thermodynamics of Continua: Constitutive Theory (2010) (0)
Numerical study of the parameters and in the Navier-Stokes- equations for turbulence (2009) (0)
The Mechanics and Thermodynamics of Continua: Balance Laws for Forces,Moments, and the Conventional External Power (2010) (0)
The Gradient Theory of Aifantis (2010) (0)
Inversion of the Mises Flow Rule: Ėp in Terms of Ė and T (2010) (0)
14. Deformations of a Cube (1981) (0)
The Mechanics and Thermodynamics of Continua: Tensor Algebra (2010) (0)
Evolution Equation for the Second Piola Stress (2010) (0)
The Mechanics and Thermodynamics of Continua: Vector Algebra (2010) (0)
The Mechanics and Thermodynamics of Continua: Introduction (2010) (0)
Material and Spatial Tensor Fields. Pullback and Pushforward Operations (2010) (0)
The Mechanics and Thermodynamics of Continua: Simple Shear of a Homogeneous, Isotropic Elastic Body (2010) (0)
When is the work non-negative in open processes? (1976) (0)
On the thermodynamics of elastic materials and of reacting fluid mixtures (1971) (0)
5. Material Symmetry (1981) (0)
Modes of Evolution for Vector and Tensor Fields (2010) (0)
Frame-Indifference and Compatibility with Thermodynamics (2010) (0)
General Constitutive Equations (2010) (0)
Corrigendum to "On a continuum-mechanical theory for turbulence" (2011) (0)
Six lectures on modern natural philosophy: by C. Truesdell. 117 pages, 6 × 9 in. New York, Springer-Verlag, 1966. Price, $4.50 (1968) (0)
On the continuum mechanics of the motion of a phase interface (1990) (0)
Constitutive Theory for Multiple Species (2010) (0)
The Mechanics and Thermodynamics of Continua: Brief Review (2010) (0)
Deformation of Volume and Area (2010) (0)
EFFECT OF AGGREGATION ON POPULATION RECOVERY MODELED BY A FORWARD-BACKWARD PSEUDOPARABOLIC EQUATION (2004) (0)
The Mechanics and Thermodynamics of Continua: Linearization (2010) (0)
On the Dynamic Energy Release Rate in Elastic Crack Propagation. (1979) (0)
Alternative Formulations of the Force and Moment Balances (2010) (0)
The Mechanics and Thermodynamics of Continua: Further Discussion of Stress (2010) (0)
The Mechanics and Thermodynamics of Continua: Motions with Constant Velocity Gradient (2010) (0)
Stability and Thermal Influences in Continuum Mechanics and Materials Science (1997) (0)
The Mechanics and Thermodynamics of Continua: Incompressible Fluids (2010) (0)
The Mechanics and Thermodynamics of Continua: Stretch, Strain, and Rotation (2010) (0)
Nonlinear Analysis, Scientific Computation, and Continuum Mechanics Applied to the Science of Materials (1993) (0)
The First Law: Balance of Energy (2010) (0)
RIGID HEAT CONDUCTORS (2010) (0)
The First Two Laws Expressed Referentially (2010) (0)
Plastic Irrotationality: The Condition Wp ≡ 0 (2010) (0)
Compressible, Viscous Fluids (2010) (0)
The Mechanics and Thermodynamics of Continua: Basic Constitutive Theory (2010) (0)
4. Elastic Materials. Change of Observer (1981) (0)
7. The Piola—Kirchhoff Stress (1981) (0)
Single-Crystal Plasticity at Small Length Scales: A Large-Deformation Gradient Theory (2010) (0)
Toward a Continuum Theory of Fracture. (1982) (0)
The Exponential of a Tensor (2010) (0)
Consequences of the Heat-Conduction Inequality (2010) (0)
The Mechanics and Thermodynamics of Continua: LARGE-DEFORMATION THEORY OF ISOTROPIC PLASTIC SOLIDS (2010) (0)
The Thermodynamics of Mises–Hill Plasticity (2010) (0)
Constitutive Theory for a Single Species (2010) (0)
Consequences of the State Restrictions (2010) (0)
The Mechanics and Thermodynamics of Continua: Single-Crystal Plasticity at Small Length Scales: A Large-Deformation Gradient Theory (2010) (0)
Material Stability and Its Relation to Maximum Dissipation (2010) (0)
The Mechanics and Thermodynamics of Continua: THERMOELASTICITY (2010) (0)
Plastic Shearing of Materials Exhibiting Strain Hardening or Strain Softening (2004) (0)
Frames of Reference (2010) (0)
6. Simple Shear (1981) (0)
The Mechanics and Thermodynamics of Continua: A Free-Energy Imbalance for Mechanical Theories (2010) (0)
The Mechanics and Thermodynamics of Continua: Motion of a Body (2010) (0)
Free-Energy Imbalance (2010) (0)
|Dp | in Terms of Ė and Me (2010) (0)
Rate-Dependent Plastic Materials (2010) (0)
THEORY OF SINGLE CRYSTALS UNDERGOING SMALL DEFORMATIONS (2010) (0)
The Mechanics and Thermodynamics of Continua: The First Two Laws for a Spatial Control Volume (2010) (0)
The Mechanics and Thermodynamics of Continua: The Deformation Gradient (2010) (0)
13. Incompressible Materials (1981) (0)
12. Stability and Uniqueness (1981) (0)
Transactions of the Army Conference on Applied Mathematics and Computing (7Th) Held in West Point, New York on 6-9 June 1989 (1990) (0)
10. The Boundary-Value Problem (1981) (0)
Global existence in one-dimensional nonlinear viscoelasticity with heat conduction (1990) (0)
Interfacial Energy and Fine Defect Structures for Incoherent Films (1999) (0)
SINGLE CRYSTALS UNDERGOING LARGE DEFORMATIONS (2010) (0)
Summary of the Basic Equations. Remarks (2010) (0)
Stability and Thermal Influences in Nonlinear Continuum Mechanics (1990) (0)
ON THE USE OF VARIATIONAL PRINCIPLES FOR THE SOLUTION OF LINEAR INITIAL-VALUE PROBLEMS, (1964) (0)
Formulation of the Mises Theory of Plastic Flow (2010) (0)
Shock Wave Kinematics (2010) (0)
15. Anti-Plane Shear (1981) (0)
Referential Forms for the Mechanical Laws (2010) (0)
Reynolds' Transport Relation. Isochoric Motions (2010) (0)

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