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
Constitutive equations of ageing polymeric materials
TL;DR: In this paper, a constitutive equation of relaxation behavior of time-dependent chemically unstable materials has been developed by employing the irreversible thermodynamics of internal variables and Eyring's absolute reaction theory.
Journal ArticleDOI
Hierarchical multiscale modeling of Polyvinyl Alcohol/Montmorillonite nanocomposites
TL;DR: In this article, the mechanical responses of low volume fraction polyvinyl alcohol (PVA)/Montmorillonite (MMT) nanocomposites were modeled using a hierarchical multiscale modeling method.
Journal ArticleDOI
Experimental and Numerical Analysis of Low Output Power Laser Bending of Thin Steel Sheets
TL;DR: In this article, an experimental and numerical analysis of a low output power single-pass laser forming process applied to thin stainless steel sheets is presented, which consists in four stages respectively devoted to material characterization via tensile testing, estimation of thermal boundary conditions present in laser forming, realization of laser bending tests for two sets of operating variables, and finally, numerical simulation of this process carried out with a coupled thermomechanical finite element formulation accounting for large plastic strains, temperature dependent material properties and convection-radiation phenomena.
Journal ArticleDOI
Finite element computation of discrete configurational forces in crystal plasticity
TL;DR: In this article, the theory of configurational forces is applied to a viscoplastic material model with plastic slip in the basal and prismatic slip systems of an hcp crystal structure.
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.