Journal ArticleDOI
A class of simple solids with fading memory
M. J. Crochet,P. M. Naghdi +1 more
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In this article, a non-isothermal finite linear theory of viscoelasticity for simple solids with fading memory was developed, motivated by the theory of simple materials with fading memories.About:
This article is published in International Journal of Engineering Science.The article was published on 1969-12-01. It has received 51 citations till now. The article focuses on the topics: Constitutive equation & Simple (abstract algebra).read more
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A theory of finite viscoelasticity and numerical aspects
Stefanie Reese,Sanjay Govindjee +1 more
TL;DR: In this article, a nonlinear evolution law for finite deformation viscoelasticity was proposed, which is not restricted to states close to the thermodynamic equilibrium, and upon appropriate linearization, it can recover several established models of finite linear viscoels and linear velocities.
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Constitutive equations for polymeric liquids
R. Byron Bird,John M. Wiest +1 more
TL;DR: The origins, uses and evaluation of constitutive equations for the stress tensor of polymeric liquids are discussed in this paper, where the authors also discuss the use of the constitutive equation for the tensor tensor.
Journal ArticleDOI
Modelling of non-isothermal viscoelastic flows
TL;DR: In this article, a slip tensor is used to describe the nonaffine motion of the stress-carrying structure of the fluid and the constitutive model is determined based on the slip tensors and the elastic behaviour of the structure.
Journal ArticleDOI
Macroscopic thermodynamics of flowing polymeric liquids
TL;DR: In this paper, the thermodynamics and mechanics of non-isothermal polymeric fluids are examined within the auspices of a new methodology wherein the laws of physics and principles of mechanics which are applicable to these thermodynamic systems are imbedded in a definite mathematical structure of a general, abstract equation.
Journal ArticleDOI
Thermodynamic constitutive equations for materials with memory on a material time scale
TL;DR: In this paper, a self-consistent set of thermodynamic constitutive equations for viscoelastic solid and fluid materials which can be applied during arbitrary, three-dimensional deformations and thermal processes is presented.
References
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Journal ArticleDOI
An Approximation Theorem for Functionals, with Applications in Continuum Mechanics
Bernard D. Coleman,Walter Noll +1 more
TL;DR: In this paper, a brief discussion of the physical motivation behind the mathematical considerations to be presented in Part I of this paper is presented. But this discussion is limited to the case where the authors are concerned with a single point of view.
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Stress Analysis for Linear Viscoelastic Materials with Temperature Variation
Leslie Morland,E. H. Lee +1 more
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Time-Temperature Dependence of Linear Viscoelastic Behavior
F. Schwarzl,A. J. Staverman +1 more
TL;DR: In this paper, the question of whether a material change of temperature is completely equivalent to a shift of the logarithmic time scale or not is treated, and it is shown that the material is termed ''thermo-rheologically simple'' (class A).
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A general theory of dissipation in materials with memory
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Tentative equations for the propagation of stress, strain and temperature fields in viscoelastic solids
TL;DR: In this paper, a theemodynamic analysis of the thermo-rheologically simple solid proposed by schwarzl and Staverman (1952) leads to a set of thennomechanically coupled equations for the propagation of stress, strain and temperature fields in viscoelastic solids.