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
An approach to the coupled behaviour of polymers subjected to a thermo-mechanical loading in a gaseous environment
TL;DR: In this article, a thermodynamic model for polymers under high temperature and strongly fluctuating gas pressure is presented, where the elementary volume is considered as a homogeneous non-reacting mixture of polymer and gas.
Journal ArticleDOI
A thermomechanical model with microstructure evolution for aluminium alloy casting processes
TL;DR: In this paper, a thermomechanical-microstructural model for the analysis of aluminium alloy solidification processes is presented, which is defined in a finite strain thermoplasticity framework considering microstructure-based liquid-solid phase-change effects for the solidifying alloy.
Journal ArticleDOI
Representation of the glass-transition in mechanical and thermal properties of glass-forming materials: A three-dimensional theory based on thermodynamics with internal state variables
TL;DR: In this article, a three-dimensional approach based on the Gibbs free energy as thermodynamic potential is developed in order to represent the thermoviscoelastic properties of glass-forming materials in continuum mechanics.
Journal ArticleDOI
Characterization of the mechanical behaviour of materials in the tensile test: experiments and simulation
TL;DR: In this paper, an experimental analysis and a numerical simulation of the mechanical behavior experienced during the tensile test by both cylindrical and strip specimens of different materials for which the classical so-called Bridgman's procedure aimed at predicting the stress distribution at the necking zone cannot be directly applied.
Journal ArticleDOI
On the dynamic behavior of honeycomb based composite solids
Ewaryst Wierzbicki,Cz. Woźniak +1 more
TL;DR: In this paper, a dispersive model of periodic composite solids made of an isotropic matrix reinforced by a hexagonal system of slender fibres or by a honeycomb-like slender skeleton is formulated.
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.