Book ChapterDOI
Thermodynamics and Plasticity
J. Mandel
- pp 283-304
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In this article, the authors deal with the application of thermodynamics to materials which exhibit plastic deformations (either purely plastic or viscoplastic), focusing on the definition of the thermodynamic state and on the expression of the second law.Abstract:
This study deals with the application of thermodynamics to materials which, besides viscoelastic deformations, exhibit plastic deformations (either purely plastic or viscoplastic). Attention is focussed on the definition of the thermodynamic state and on the expression of the second law. Three different formulations are presented
(1)
With hidden variables and using an intermediate, released, configuration.
(2)
With hidden variables and using a fixed reference configuration.
(3)
In functional representation.
Finally an hypothesis about the dissipativity is investigated.read more
Citations
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BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Journal ArticleDOI
Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
TL;DR: In this paper, a formulation and algorithmic treatment of static and dynamic plasticity at finite strains based on the multiplicative decomposition is presented which inherits all the features of the classical models of infinitesimal plasticity.
Journal ArticleDOI
A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
Juan C. Simo,Michael Ortiz +1 more
TL;DR: By assuming from the outset hyperelastic constitutive behavior, an alternative approach to finite deformation plasticity and viscoplasticity is proposed whereby the need for integration of spatial rate constitutive equations is entirely bypassed.
Journal ArticleDOI
Associated coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation
Juan C. Simo,C. Miehe +1 more
TL;DR: In this paper, a complete formulation of a model of coupled associative thermoplasticity at finite strains is presented, addressing in detail the numerical analysis aspects involved in its finite element implementation, and assessing the performance of the proposed mechanical and finite element models in a comprehensive set of numerical simulations.
Journal ArticleDOI
Constitutive equations for hot-working of metals
TL;DR: In this paper, a set of phenomenological, internal variable type constitutive equations describing the elevated temperature deformation of metals is developed, which can faithfully account for strain-hardening, the restoration processes of recovery and recrystallization and strain rate and temperature history effects.
References
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Journal ArticleDOI
Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
TL;DR: In this article, the theoretical foundations of constitutive relations at finite strain for a class of solids exhibiting inelasticity as a consequence of specific structural rearrangements, on the microscale, of constituent elements of material.
Journal ArticleDOI
A general theory of an elastic-plastic continuum
A. E. Green,P. M. Naghdi +1 more
TL;DR: In this article, an isotropic elastic-plastic continuum theory was proposed for large deformation elasticity, which is a special case of the theory of elastic-perfectly plastic continuum.
Journal ArticleDOI
Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques
TL;DR: In this paper, the structure des relations de comportement d'un milieu elastique-plastique ou ELASTique-viscoplastique en transformation finie is studied.