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 three-dimensional description of shape memory alloy thermomechanical behavior including plasticity
TL;DR: In this paper, a three-dimensional constitutive model that describes the thermomechanical behavior of shape memory alloys (SMAs) is presented. But the model is developed within the framework of continuum mechanics and the standard generalized materials.
Journal ArticleDOI
Application of metaheuristic algorithms to the identification of nonlinear magneto-viscoelastic constitutive parameters
TL;DR: It is determined that the continuous real and discrete bitstring genetic algorithm provide the best overall performance in terms of the accuracy of the predicted parameters, while globally-elitist simulated annealing provides the best compromise between accuracy and computational efficiency.
Journal ArticleDOI
Predicting mesh-independent ballistic limits for heterogeneous targets by a nonlocal damage computational framework
TL;DR: In this paper, a coupled thermo-hypoelasto-viscoplastic and thermoviscodamage constitutive model is proposed for impact and ballistic penetration and perforation problems of heterogeneous metallic targets such as metal matrix composites with dispersed particles at decreasing microstructural length scales.
Journal ArticleDOI
Damage Theory Based on Composite Mechanics
Yunping Xi,Yunping Xi,Morteza Eskandari-Ghadi,Morteza Eskandari-Ghadi,Suwito,Suwito,Stein Sture,Stein Sture +7 more
TL;DR: In this article, a composite model for composite material with damage is proposed, where the matrix is considered as the intact material and the damaged material is the included material, and three different composite models, Voigt (parallel), Reuss (serial), and generalized self-consistent (spherical), are introduced for three types of damage distributions.
Journal ArticleDOI
The relationship between damage variables and their evolution laws and microstructural and physical properties
Quanshui Zheng,I. F. Collins +1 more
TL;DR: In this paper, a rational approach to identify the damage parameters in tensorial form, based on the microstructure of the defects (voids, cavities, microcracks) and the overall physical properties of a solid 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.