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
Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations
El-Hadi Tikarrouchine,El-Hadi Tikarrouchine,George Chatzigeorgiou,Yves Chemisky,Fodil Meraghni +4 more
TL;DR: The aim of this work is to predict the overall response of rate-dependent, non-linear, thermo-mechanically coupled problems of 3D periodic composite structures.
Journal ArticleDOI
On internal dissipation inequalities and finite strain inelastic constitutive laws: Theoretical and numerical comparisons
TL;DR: Lin and Schomburg as discussed by the authors formulated four types of finite strain viscoelastic and endochronically plastic laws as well as three types of J2-plasticity laws based on four different types of dissipation inequalities.
Journal ArticleDOI
On a finite strain viscoplastic theory based on a new internal dissipation inequality
R.C. Lin,Wolfgang Brocks +1 more
TL;DR: In this paper, a finite strain viscoplastic model described also in the rotated material coordinate system is formulated and the evolution equations are expressed in terms of the material time derivatives of the rotated elastic logarithmic strain, the accumulated plastic strain and the strain-like tensor conjugate to the rotated back stress.
Journal ArticleDOI
Computational modelling of submicron-sized metallic glasses
TL;DR: In this paper, a non-local thermodynamically consistent, continuum mechanical, constitutive model is developed to predict the stable shear localization process in submicron-sized metallic glasses and its size effect.
Journal ArticleDOI
Aeroelastic behavior of composite plates subject to damage growth
Thomas W. Strganac,Young Ik Kim +1 more
TL;DR: In this article, a study of the aeroelastic response of damaged composite plates is presented, where the plates considered are those that undergo damage on a slow or rapid time scale due to the natural progression of micro-cracks in the composite 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.