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
An Inelastic Damage Model for Fiber Reinforced Laminates
Ever J. Barbero,Paolo Lonetti +1 more
TL;DR: In this article, a model for the damage behavior of polymer matrix composite laminates is presented, which predicts the inelastic effects as reduction of stiffness and increments of damage and unrecoverable deformation.
Journal ArticleDOI
A computational framework of three-dimensional configurational-force-driven brittle crack propagation
Ercan Gürses,Christian Miehe +1 more
TL;DR: In this paper, a variational formulation of quasi-static brittle fracture and a new finite element-based computational framework for propagation of cracks in three-dimensional bodies is proposed. But the authors do not consider the dynamics of crack propagation in elastic solids.
Journal ArticleDOI
An internal state variable material model for predicting the time, thermomechanical, and stress state dependence of amorphous glassy polymers under large deformation
Jean-Luc Bouvard,Jean-Luc Bouvard,D.K. Francis,Mark A. Tschopp,E.B. Marin,Douglas J. Bammann,Mark F. Horstemeyer +6 more
TL;DR: In this paper, the authors presented a complete theoretical accounting of the thermomechanical coupling within a viscoplastic model to predict the time, temperature, and stress state dependent mechanical behavior of amorphous glassy polymers.
Journal ArticleDOI
Validation of a model for static and dynamic recrystallization in metals
TL;DR: In this paper, modifications are proposed to a phenomenological plasticity model to account for the evolution of recrystallization and the resultant softening behavior, which includes internal state variables representing dislocation density and the spacing between geometrically necessary subgrain boundaries.
Journal ArticleDOI
Non-local separation constitutive laws for interfaces and their relation to nanoscale simulations
TL;DR: In this paper, a conceptual framework is proposed to characterize fracture through continuum interface separation constitutive laws that are motivated by molecular dynamics simulations using embedded-atom method potentials, which are distinguished from previous continuum models in that discrete atomistics are used to determine a set of nanoscale effects, accounting for the influence of atomic structure and imperfections on interface separation or fracture.
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.