Journal ArticleDOI
Thermodynamics with Internal State Variables
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In this paper, the authors study the thermodynamics of nonlinear materials with internal state variables whose temporal evolution is governed by ordinary differential equations, and employ a method developed by Coleman and Noll to find the general restrictions which the Clausius-Duhem inequality places on response functions.Abstract:
This is a study of the thermodynamics of nonlinear materials with internal state variables whose temporal evolution is governed by ordinary differential equations. After employing a method developed by Coleman and Noll to find the general restrictions which the Clausius—Duhem inequality places on response functions, we analyze various types of dynamical stability that can be exhibited by solutions of the internal evolution equations. We also discuss integral dissipation inequalities, conditions under which temperatures can be associated with internal states, and the forms taken by response functions when the material is a fluid.read more
Citations
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Journal ArticleDOI
The Effect of Water on Thermal Stresses in Polymer Composites
TL;DR: In this paper, the fundamentals of the thermodynamic theory of mixtures and continuum thermochemistry are reviewed for a mixture of condensed water and polymer and a specific mixture which is mechanically elastic with temperature and water concentration gradients present is considered.
Journal ArticleDOI
General expressions of constitutive equations for isotropic elastic damaged materials
TL;DR: In this paper, the authors derived general expressions of constitutive equations for isotropic elastic damaged materials from the basic law of irreversible thermodynamics and showed that the classical damage constitutive equation based on the strain equivalence hypothesis is only a first-order approximation of the general expression.
Journal ArticleDOI
Two non-associated isotropic elastoplastic hardening models for frictional materials
TL;DR: In this paper, the authors propose two new elastoplastic constitutive models for the description of deformation mechanisms of frictional materials which are suitable for a wide range of applications in soil mechanics.
Journal ArticleDOI
A visco-hyperelastic constitutive model of short- and long-term viscous effects on isotropic soft tissues:
Ghahfarokhi Zahra Matin,Mahdi Moghimi Zand,Mehdi Salmani Tehrani,Brianna Regina Wendland,Roozbeh Dargazany +4 more
TL;DR: In this paper, a new visco-hype is proposed to model the constitutive behavior of soft tissues, which is an important challenge with significant relevance in medicine and biology.
References
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Book
Ordinary differential equations
TL;DR: In this article, the Poincare-Bendixson theory is used to explain the existence of linear differential equations and the use of Implicity Function and fixed point Theorems.
Book
Supersonic flow and shock waves
Richard Courant,Kurt Friedrichs +1 more
TL;DR: In this article, the authors proposed a method to compressible ecoulement for compressible compressible and supersonique and onde de choc Reference Record created on 2005-11-18, modified on 2016-08-08
Book ChapterDOI
The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity
TL;DR: The basic physical concepts of classical continuum mechanics are body, configuration of a body, and force system acting on a body as mentioned in this paper, which can be expressed as follows: a body is regarded as a smooth manifold whose elements are the material points; a configuration is defined as a mapping of the body into a three-dimensional Euclidean space, and a force system is defined to be a vector-valued function defined for pairs of bodies.