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 Biphasic Continuum Approach for Viscoelastic High-Porosity Foams: Comprehensive Theory, Numerics, and Application
TL;DR: In this article, a predictive model for the description of polymeric soft foams is presented, which can significantly affect the transient compressive and impact response making particularly air-filled foamed plastics a lightweight and shock-absorbing material par excellence.
Journal ArticleDOI
A Thermodynamic Approach to Nonlocal Plasticity and Related Variational Principles
TL;DR: In this article, a thermodynamic framework is proposed as a basis of a nonlocal associative plasticity theory in which the plastic yielding laws comply with a (nonlocal) maximum intrinsic dissipation theorem.
Journal ArticleDOI
A multiscale analysis of fixed-end simple shear using molecular dynamics, crystal plasticity, and a macroscopic internal state variable theory
TL;DR: In this article, the authors examined FCC nickel undergoing simple shear by using three different numerical frameworks formulated at three different size scales, including embedded atom method potentials used in molecular dynamics simulations, crystal plasticity used in finite element simulations, and a macroscale internal state variable formulation used in infinite element simulations.
Journal ArticleDOI
A general inelastic internal state variable model for amorphous glassy polymers
Jean-Luc Bouvard,Donald K. Ward,Donald K. Ward,D. Hossain,E.B. Marin,Douglas J. Bammann,Mark F. Horstemeyer +6 more
TL;DR: Anand et al. as mentioned in this paper presented a constitutive model for amorphous thermoplastics using a thermodynamic approach with physically motivated internal state variables, which can capture the complex character of the stress-strain behavior of polymers for a range of strain rates.
Journal ArticleDOI
Chemo-mechanical coupling behaviour of leached concrete : Part II, Modelling
TL;DR: In this article, a coupled chemo-mechanical model describing the interaction between the calcium leaching and the mechanical damage in concrete materials is presented, where a homogenization approach using asymptotic expansions is used to take into account the influence of the presence of aggregates leading to an equivalent homogeneous medium.
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.