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
A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts:
TL;DR: In this article, a non-local gradient-enhanced damage-plasticity formulation is proposed, which prevents the loss of well-posedness of the governing field equations in the post-critical damage regime.
Journal ArticleDOI
On the thermomechanical modeling of shape memory alloys
TL;DR: In this paper, a general inelastic framework for the derivation of general three-dimensional thermomechanical constitutive laws for materials undergoing phase transformations is proposed, which is based on the generalized plasticity theory and on some basic elements from the theory of continuum damage mechanics.
Journal ArticleDOI
Associative coupled thermoplasticity at finite strain with temperature-dependent material parameters
Marko Čanađija,Josip Brnić +1 more
TL;DR: In this paper, associative coupled thermoplasticity at finite strains is considered and a J2 plasticity model based on hyperelastic formulation with multiplicative decomposition of deformation gradient into elastic and plastic parts is introduced.
Journal ArticleDOI
A model for elastoplastic damage at finite strains: algorithmic issues and applications
TL;DR: In this paper, the authors address the computational aspects of a model for elastoplastic damage at finite strains, which is extended to include isotropic damage and kinematic hardening.
Journal ArticleDOI
An anisotropic in-plane and out-of-plane elasto-plastic model for paperboar
TL;DR: In this paper, a model of paperboard material possessing a high degree of anisotropy is established and three vectors are introduced which phenomenologically represent the preferred directions of the material.
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.