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Thermodynamics of materials with memory

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-45943-6_2openalex-snapshot
The Classical Field Theories
inferredcites →https://doi.org/10.1007/bf00249520openalex-snapshot
Material symmetry and thermostatic inequalities in finite elastic deformations
inferredcites →https://doi.org/10.1007/bf00253351openalex-snapshot
Kinematical concepts with applications in the mechanics and thermodynamics of incompressible viscoelastic fluids
inferredcites →https://doi.org/10.1007/bf00276168openalex-snapshot
An approximation theorem for functionals, with applications in continuum mechanics
inferredcites →https://doi.org/10.1007/bf00277929openalex-snapshot
A mathematical theory of the mechanical behavior of continuous media
inferredcites →https://doi.org/10.1007/bf00281381openalex-snapshot
On the thermostatics of continuous media
inferredcites →https://doi.org/10.1007/bf00297992openalex-snapshot
The mechanics of non-linear materials with memory
inferredcites →https://doi.org/10.1007/bf01262690openalex-snapshot
The thermodynamics of elastic materials with heat conduction and viscosity
inferredcites →https://doi.org/10.1007/bf01262695openalex-snapshot
Thermodynamics and departures from Fourier's law of heat conduction
inferredcites →https://doi.org/10.1016/0022-3697(61)90229-3openalex-snapshot
Large elastic deformations and non-linear continuum mechanics
inferredcites →https://doi.org/10.1063/1.1725257openalex-snapshot
Existence of Caloric Equations of State in Thermodynamics
inferredcites →https://doi.org/10.1103/revmodphys.33.239openalex-snapshot
Foundations of Linear Viscoelasticity
inferredcites →https://doi.org/10.1512/iumj.1955.4.54001openalex-snapshot
On the Continuity of the Solid and Fluid States

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Consistent Eulerian and Lagrangian Variational Formulations of Non-Linear Kinematic Hardening for Solid Media Undergoing Large Strains and Shock
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On modelling thermal oxidation of Silicon I: theory
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Elastoplastic and Viscoplastic Deformations in Solids and Structures
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Aging, Physical
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Viscoelasticity
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Yield and Crazing in Polymers
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Thermodynamics, Nonequilibrium
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Thermodynamics of Discrete Mechanical Systems with Memory
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Bibliography
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Thermodynamic and Kinetic Foundation
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Elastoplastic and Viscoplastic Deformations in Solids and Structures
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References
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Low velocity gradient flow birefringence and viscosity changes in hyaluronate solutions as a function of pH
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Variational constitutive updates for microstructure evolution in hcp metals
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Mass transport and mechanical properties of solid polymers
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The Logistic Function in Glass Transition Models of Amorphous Polymers: A Theoretical Framework for Isobaric Cooling Processes
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Complex bodies with memory: Linearized setting
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Initial boundary value problems in one‐dimensional non‐linear thermoelasticity
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A constitutive model for the dynamic and high‐pressure behaviour of a propellant‐like material: Part I: Experimental background and general structure of the model
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On the rheology of cold drawing. II. Viscoelastic materials
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Application of a nonlinear viscoelastic model to glassy, particulate‐filled polymers
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Thermodynamics of Large Viscoelastic Deformations
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General Mixed Finite Element Methods of Nonlinear Continua
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Repräsentation der freien Helmholtzschen Energie bei viskoelastischen Cosseratflächen
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Lineare konstitutive Gleichungen der viskoelastischen Cosseratfläche
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Zur Frage der polynomialen Konservativität
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GENERIC framework for reactive fluid flows
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Mathematical and physical aspects of the solution to the Cauchy problem for a nonlocal model of viscoelasticity
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A Note about Differentiability of Maps Defined on Convex Subsets of Banach Spaces That May Be Nowhere Dense
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Minimum Free Energies for Materials with Finite Memory
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Thermodynamics of polymer solutions under flow: Phase separation and polymer degradation
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Thermomechanical Constitutive Modeling of SMAs
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A Multifield Theory for the Modeling of the Macroscopic Behavior of Shape Memory Materials
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The Role of Thermodynamics in Continuum Mechanics
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‘Rational’ Thermodynamics
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Theory of Rate-Independent Elasto-Plasticity
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Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure
inferred← citeshttps://doi.org/10.1007/978-1-4419-7765-6_10openalex-snapshot
Electromagnetism and Joule Heating
inferred← citeshttps://doi.org/10.1007/978-1-4419-7765-6_4openalex-snapshot
Viscoelasticity
inferred← citeshttps://doi.org/10.1007/978-1-4419-9308-3_7openalex-snapshot
Physical Aging in Glasses and Composites
inferred← citeshttps://doi.org/10.1007/978-1-4612-2416-7_191openalex-snapshot
The Fundamental Equations of Nonlinear Continuum Mechanics
inferred← citeshttps://doi.org/10.1007/978-1-4612-2416-7_193openalex-snapshot
Forty Years of Non-Linear Continuum Mechanics
inferred← citeshttps://doi.org/10.1007/978-1-4612-2416-7_97openalex-snapshot
The Thermomechanics of Materials with Fading Memory
inferred← citeshttps://doi.org/10.1007/978-1-4612-5206-1_29openalex-snapshot
Recent Research on the Foundations of Thermodynamics
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Internal Dissipation
inferred← citeshttps://doi.org/10.1007/978-1-4612-5206-1_7openalex-snapshot
Coleman’s Theorem
inferred← citeshttps://doi.org/10.1007/978-1-4613-9505-8_8openalex-snapshot
Comments and Suggestions for Further Reading
inferred← citeshttps://doi.org/10.1007/978-1-4614-1692-0_17openalex-snapshot
Free Energies for Nonlocal Materials
inferred← citeshttps://doi.org/10.1007/978-1-4614-1692-0_3openalex-snapshot
Principles of Thermodynamics
inferred← citeshttps://doi.org/10.1007/978-1-4614-1692-0_5openalex-snapshot
Thermodynamics of Materials with Memory
inferred← citeshttps://doi.org/10.1007/978-1-4614-1692-0_7openalex-snapshot
Viscoelastic Solids and Fluids
inferred← citeshttps://doi.org/10.1007/978-1-4614-5155-6_2openalex-snapshot
Foundations of Mathematical Modeling of Reacting Gas Mixtures
inferred← citeshttps://doi.org/10.1007/978-1-4684-3746-1_1openalex-snapshot
Non-Isothermal Flows of Viscoelastic Fluids
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Models of Material Behavior
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Thermodynamics of Relaxation
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The Relaxation Function in Viscoelasticity: Classical and Non-classical Thermodynamically Admissible Examples
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Representations of Solutions of Hyperbolic Volterra Integro-Differential Equations with Singular Kernels
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Thermodynamics
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Free Energies for the Case of Isolated Singularities
inferred← citeshttps://doi.org/10.1007/978-3-030-80534-0_17openalex-snapshot
Constructing Free Energies for Materials with Memory
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Free Energies for Nonlinear Materials with Memory
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Free Energies for Nonlocal Materials
inferred← citeshttps://doi.org/10.1007/978-3-030-80534-0_3openalex-snapshot
Principles of Thermodynamics
inferred← citeshttps://doi.org/10.1007/978-3-030-80534-0_5openalex-snapshot
Thermodynamics of Materials with Memory
inferred← citeshttps://doi.org/10.1007/978-3-030-80534-0_8openalex-snapshot
Viscoelastic Solids and Fluids
inferred← citeshttps://doi.org/10.1007/978-3-030-80534-0_9openalex-snapshot
Heat Conductors
inferred← citeshttps://doi.org/10.1007/978-3-030-94195-6_15openalex-snapshot
Materials with Memory: Viscoelasticity and Hysteresis
inferred← citeshttps://doi.org/10.1007/978-3-031-18621-9_3openalex-snapshot
Thermodynamics
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Phase-Lag Models
inferred← citeshttps://doi.org/10.1007/978-3-031-26731-4_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-031-95459-7_5openalex-snapshot
Regional Models: Skin and Deep Tissues
inferred← citeshttps://doi.org/10.1007/978-3-032-12791-4_1openalex-snapshot
Symmetries
inferred← citeshttps://doi.org/10.1007/978-3-319-02514-8openalex-snapshot
The Thermodynamics of Linear Fluids and Fluid Mixtures
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Thermodynamics and Its Concepts in Nonequilibrium
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Thermodynamics of Uniform Systems
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Microscale Thermodynamics
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Helmholtz Interpreted and Applied by Duhem
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Modeling of Non-Linear Viscoelastic Behavior of Filled Rubbers
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Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids
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Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids
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The Masters of Modern Continuum Mechanics
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Viscoelasticity of Solids (Old and New)
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Thermodynamics—Field Formulation
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Viscoelasticity and Thermoviscoelasticity
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Thermodynamics of Binary Solid–Fluid Cosserat Mixtures
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Nonlinear Hyperbolic Equations and Linear Heat Conduction with Memory
inferred← citeshttps://doi.org/10.1007/978-3-642-11033-7_1openalex-snapshot
Thermodynamics and Wave Propagation in Elastic and Vi Scoelastic Media
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Thermodynamics of Deformable Materials
inferred← citeshttps://doi.org/10.1007/978-3-642-11096-2_2openalex-snapshot
The Thermodynamics of Materials with Memory
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Sulla Nozione Di Stato Nella Termomeccanica Dei Continui
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Heredity and Nonlocality
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On the History of Material Theory – A Critical Review
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Thermo-Viscoelasticity (General Lecture)
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Classical and Rational Formulations of Non-equilibrium Thermodynamics
inferred← citeshttps://doi.org/10.1007/978-3-642-58535-7_3openalex-snapshot
Viscosity and Relaxation Approximation for Hyperbolic Systems of Conservation Laws
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Necking and Drawing in Polymeric Fibers Under Tension
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On the Dynamical Stability of Fluid Phases
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Growth and Decay of Waves in Solids
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Topics in the Mathematical Theory of Plasticity
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Wave Propagation in Nonlinear Viscoelastic Solids
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Waves in Solids
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Recent Research on the Foundations of Thermodynamics
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Mixture Invariance and its Applications
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Admissible Wave Fans in Nonlinear Hyperbolic Systems
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Thermodynamical Constitutive Laws - Outlines -
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Non-linear solid mechanics, past, present and future
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Unified Theory of Thermomechanical Behavior of Viscoelastic Materials
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On Thermodynamic Foundations of Viscoplasticity
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The Velocity of One-Dimensional Shock and Acceleration Waves
inferred← citeshttps://doi.org/10.1007/978-3-642-88691-1_2openalex-snapshot
On the Growth and Decay of One-Dimensional Acceleration Waves
inferred← citeshttps://doi.org/10.1007/978-3-642-88691-1_3openalex-snapshot
Thermodynamic Influences on the Growth and Decay of Acceleration Waves
inferred← citeshttps://doi.org/10.1007/978-3-642-88691-1_4openalex-snapshot
Thermodynamics and the Velocity of General Acceleration Waves
inferred← citeshttps://doi.org/10.1007/978-3-642-97430-4_1openalex-snapshot
Classical and Rational Formulations of Non-equilibrium Thermodynamics
inferred← citeshttps://doi.org/10.1007/978-3-642-97671-1_1openalex-snapshot
Classical and Rational Formulations of Non-equilibrium Thermodynamics
inferred← citeshttps://doi.org/10.1007/978-3-662-10388-3_1openalex-snapshot
The Non-Linear Field Theories of Mechanics
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Topics in thermodynamics of rheological behaviours
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The Non-Linear Field Theories of Mechanics
inferred← citeshttps://doi.org/10.1007/978-3-662-41458-3_185openalex-snapshot
Comments on the validity of a common category of constitutive equations
inferred← citeshttps://doi.org/10.1007/978-3-662-41458-3_36openalex-snapshot
On rheological relations
inferred← citeshttps://doi.org/10.1007/978-3-662-41458-3_40openalex-snapshot
On thermal effects in a special class of viscoelastic fluids
inferred← citeshttps://doi.org/10.1007/978-3-663-00234-5_2openalex-snapshot
Entropie einst und jetzt
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Beziehungen zwischen Netzwerktheorie und Thermodynamik
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Basic ingredients, development of phenomenological models and practical use of crystal plasticity
inferred← citeshttps://doi.org/10.1007/978-3-7091-2987-6_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-3-7091-4321-6_2openalex-snapshot
Thermodynamics of Solids
inferred← citeshttps://doi.org/10.1007/978-3-7091-5581-3_1openalex-snapshot
On Stress Waves in Viscoelastic Media Conducting Heat
inferred← citeshttps://doi.org/10.1007/978-3-7091-5581-3_18openalex-snapshot
On Thermodynamics of the Differential Type Material
inferred← citeshttps://doi.org/10.1007/978-3-7091-5581-3_3openalex-snapshot
Thermodynamics and Wave Propagation in Non-Linear Materials with Memory
inferred← citeshttps://doi.org/10.1007/978-3-7091-8244-4_13openalex-snapshot
Representation of Inelastic Mechanical Behavior by Means of State Variables
inferred← citeshttps://doi.org/10.1007/978-3-7091-8244-4_5openalex-snapshot
On ‘Thermo-Rheologically Simple’ Solids
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Classical, Rational and Hamiltonian Formulations of Non-equilibrium Thermodynamics
inferred← citeshttps://doi.org/10.1007/978-94-007-0034-5_3openalex-snapshot
Balance Laws
inferred← citeshttps://doi.org/10.1007/978-94-007-0034-5_6openalex-snapshot
Elastic Continua at Large Deformations
inferred← citeshttps://doi.org/10.1007/978-94-007-0034-5_9openalex-snapshot
Plastic Continua at Large Deformations
inferred← citeshttps://doi.org/10.1007/978-94-007-1884-5_18openalex-snapshot
On the Thermoelectricity of W. Thomson: Towards a Theory of Thermoelastic Conductors
inferred← citeshttps://doi.org/10.1007/978-94-007-1884-5_38openalex-snapshot
Simple Thermomechanical Materials with Memory
inferred← citeshttps://doi.org/10.1007/978-94-007-2739-7_911openalex-snapshot
Thermoviscoelasticity and Invariance of the Entropy Production Under Time Reversal
inferred← citeshttps://doi.org/10.1007/978-94-007-5545-1_2openalex-snapshot
Thermodynamics
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Axiomatization and Thermo-Mechanics
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Physical Bases for the Thermo-Hygro-Rheological Behaviours of Wood in Finite Deformations
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Alternative Exploitation of Dissipation Inequality Demonstrated for Hyperbolic Heat Conduction
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Dynamic Plastic Behaviour
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Internal variable description of plasticity
inferred← citeshttps://doi.org/10.1007/978-94-010-9500-6_5openalex-snapshot
Thermomechanical Continua
inferred← citeshttps://doi.org/10.1007/978-94-010-9500-6_6openalex-snapshot
Transition to the Response Behaviour of Engineering Materials
inferred← citeshttps://doi.org/10.1007/978-94-010-9500-6_9openalex-snapshot
Viscoelastic Response Behaviour
inferred← citeshttps://doi.org/10.1007/978-94-011-1272-7_5openalex-snapshot
Thermoviscoelasticity
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Transition to nonlinear viscoelasticity
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Variational Formulations of the Linear Viscoelastic Problem with General Viscous Kernels
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A Brief Summary of Constitutive Relations for Ice
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On heat flux in simple media
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On the analytic expression of the free energy in linear viscoelasticity
inferred← citeshttps://doi.org/10.1007/bf00247460openalex-snapshot
A theory of thermodynamics for materials with memory
inferred← citeshttps://doi.org/10.1007/bf00248201openalex-snapshot
Acceleration and higher order waves in a mixture of chemically reacting elastic materials
inferred← citeshttps://doi.org/10.1007/bf00248271openalex-snapshot
Entropy and hidden variables in continuum thermodynamics
inferred← citeshttps://doi.org/10.1007/bf00248491openalex-snapshot
On the growth and decay of one-dimensional temperature rate waves
inferred← citeshttps://doi.org/10.1007/bf00248521openalex-snapshot
On uniqueness and bifurcation in nonlinear viscoelasticity
inferred← citeshttps://doi.org/10.1007/bf00249363openalex-snapshot
A nonlinear theory of elastic materials with voids
inferred← citeshttps://doi.org/10.1007/bf00249514openalex-snapshot
On the thermodynamics of materials with memory
inferred← citeshttps://doi.org/10.1007/bf00249968openalex-snapshot
Time-reversal and symmetry in the thermodynamics of materials with memory
inferred← citeshttps://doi.org/10.1007/bf00250213openalex-snapshot
Waves in materials with memory
inferred← citeshttps://doi.org/10.1007/bf00250214openalex-snapshot
Waves in materials with memory
inferred← citeshttps://doi.org/10.1007/bf00250297openalex-snapshot
On the concept of frame-indifference in continuum mechanics and in the kinetic theory of gases
inferred← citeshttps://doi.org/10.1007/bf00250317openalex-snapshot
Exponential stability for a class of functional differential equations
inferred← citeshttps://doi.org/10.1007/bf00250354openalex-snapshot
Global mean value theorems in thermodynamics
inferred← citeshttps://doi.org/10.1007/bf00250436openalex-snapshot
On the initial value problem for a class of functional-differential equations
inferred← citeshttps://doi.org/10.1007/bf00250437openalex-snapshot
Relativistic thermodynamics of viscoelastic dielectrics
inferred← citeshttps://doi.org/10.1007/bf00250534openalex-snapshot
Thermodynamic restriction on the initial slope of the stress-relaxation function
inferred← citeshttps://doi.org/10.1007/bf00250620openalex-snapshot
The second law of thermodynamics for systems with approximate cycles
inferred← citeshttps://doi.org/10.1007/bf00250687openalex-snapshot
Thermo-hypo-elasticity and derived fracture and yield conditions
inferred← citeshttps://doi.org/10.1007/bf00250801openalex-snapshot
On the Clausius inequality
inferred← citeshttps://doi.org/10.1007/bf00250831openalex-snapshot
The morphology and stability of material phases
inferred← citeshttps://doi.org/10.1007/bf00250929openalex-snapshot
Existence of entropy as a consequence of asymptotic stability
inferred← citeshttps://doi.org/10.1007/bf00251226openalex-snapshot
One-dimensional shock waves in heat conducting materials with memory
inferred← citeshttps://doi.org/10.1007/bf00251248openalex-snapshot
Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity
inferred← citeshttps://doi.org/10.1007/bf00251256openalex-snapshot
A mathematical foundation for thermodynamics
inferred← citeshttps://doi.org/10.1007/bf00251297openalex-snapshot
A phenomenological theory of streaming birefringence
inferred← citeshttps://doi.org/10.1007/bf00251512openalex-snapshot
Thermodynamics based on a work axiom
inferred← citeshttps://doi.org/10.1007/bf00251525openalex-snapshot
On the admissibility and existence of unsteady retarded plane Poiseuille flow of Simple Fluids with Fading Memory. I. Admissibility
inferred← citeshttps://doi.org/10.1007/bf00251529openalex-snapshot
On the uniqueness and stability of steady lineal flows in heat conducting viscoelastic fluids
inferred← citeshttps://doi.org/10.1007/bf00251666openalex-snapshot
A general theory of an elastic-plastic continuum
inferred← citeshttps://doi.org/10.1007/bf00251727openalex-snapshot
Norms and semi-groups in the theory of fading memory
inferred← citeshttps://doi.org/10.1007/bf00251728openalex-snapshot
A fading memory hypothesis which suffices for chain rules
inferred← citeshttps://doi.org/10.1007/bf00252275openalex-snapshot
Waves in materials with memory
inferred← citeshttps://doi.org/10.1007/bf00253154openalex-snapshot
Toward a thermodynamics and mechanics of mixtures
inferred← citeshttps://doi.org/10.1007/bf00253155openalex-snapshot
On the inclusion of the complete symmetry group in the unimodular group
inferred← citeshttps://doi.org/10.1007/bf00253255openalex-snapshot
Generalized simple bodies
inferred← citeshttps://doi.org/10.1007/bf00253482openalex-snapshot
Waves in materials with memory IV. Thermodynamics and the velocity of general acceleration waves
inferred← citeshttps://doi.org/10.1007/bf00253483openalex-snapshot
Thermodynamics and the possibility of spatial interaction in elastic materials
inferred← citeshttps://doi.org/10.1007/bf00253873openalex-snapshot
On the stability of solutions of functional-differential equations
inferred← citeshttps://doi.org/10.1007/bf00253874openalex-snapshot
On the stability of certain motions of incompressible materials with memory
inferred← citeshttps://doi.org/10.1007/bf00253875openalex-snapshot
On continuum thermodynamics with surfaces
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