Journal ArticleDOI
On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials
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TLDR
In this article, the qualitative behavior of the constitutive relation σ = E(ϵ, σ)ϵ + G (ϵ and σ), where σ is the number of variables in the relation.About:
This article is published in International Journal of Solids and Structures.The article was published on 1980-01-01. It has received 35 citations till now. The article focuses on the topics: Constitutive equation & Viscoplasticity.read more
Citations
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Materials with Internal Variables and Relaxation to Conservation Laws
TL;DR: In this article, a relaxation framework for the theory of thermoelastic nonconductors of heat, equipped with globally defined entropy functions for the associated relaxation process, is presented.
Journal ArticleDOI
Creep damage modelling for quasi-brittle materials
TL;DR: In this paper, the authors developed a simple time-dependent softening model applied to quasi-brittle materials such as rock or concrete, which is able to predict creep failure for various stress level.
Journal ArticleDOI
On the thermodynamics of rate-type fluids and phase transitions. I. Rate-type fluids
TL;DR: In this article, the existence of the thermodynamic potentials, internal energy U and entropy S as functions of state ( ϱ, T, p ) is required such that certain relations between their rates and the rates of heat and work are verified.
Journal ArticleDOI
The energy in one-dimensional rate-type semilinear viscoelasticity
C. Făciu,M. Mihăilescu-Suliciu +1 more
TL;DR: In this paper, the existence and properties of a free energy function compatible with the second law of thermodynamics in one-dimensional rate-type semilinear viscoelasticity are analyzed.
Journal ArticleDOI
Some energetic properties of smooth solutions in rate-type viscoelasticity
TL;DR: In this paper, a free energy function compatible with the second law of thermodynamics is constructed for the semilinear rate-type viscoelasticity, which is a positive and convex function of stress and strain.
References
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Journal ArticleDOI
Plastic wave propagation in a bar of material exhibiting a strain rate effect
Journal ArticleDOI
A generalized theory of strain-rate-dependent plastic wave propagation in bars
TL;DR: In this paper, a theory of plastic wave propagation in bars is formulated on the basis of a general quasi-linear constitutive equation, and conditions are shown under which one or the other may be valid.
Journal ArticleDOI
On thermodynamics and intrinsically equilibrated materials
Bernard D. Coleman,David R. Owen +1 more
TL;DR: In this paper, the existence and uniqueness of free energy functions for a class of materials broad enough to contain as special cases those of the theory of finite elasticity and hypo-elasticity, and for which the path of evolution is invariant under rescalings of time.
Journal ArticleDOI
Energy for hypoelastic constitutive equations
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The energy in one-dimensional rate-type semilinear viscoelasticity
C. Făciu,M. Mihăilescu-Suliciu +1 more