Journal ArticleDOI
A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. part II: computational aspects
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TLDR
In this article, the authors proposed a hyperelastic J2-flow theory for elastoplastic tangent moduli, which reduces to a trivial modification of the classical radial return algorithm which is amenable to exact linearization.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1988-05-01. It has received 475 citations till now. The article focuses on the topics: Linearization & Hyperelastic material.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
An augmented lagrangian treatment of contact problems involving friction
Juan C. Simo,Tod A. Laursen +1 more
TL;DR: In this paper, a framework is presented within which the augmented Lagrangians is readily applied to problems involving contact with friction, which is well-suited to finite element implementation, and a set of numerical examples is presented in which the utility of the method is demonstrated even in the presence of finite deformations and inelasticity.
Journal ArticleDOI
Geometrically non‐linear enhanced strain mixed methods and the method of incompatible modes
Juan C. Simo,Francisco Armero +1 more
TL;DR: In this paper, a class of assumed strain mixed finite element methods for fully nonlinear problems in solid mechanics is presented which, when restricted to geometrically linear problems, encompasses the classical method of incompatible modes as a particular case.
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
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.
References
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Journal ArticleDOI
Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
TL;DR: In this article, a local multiplicative split of the deformation gradient into volume-preserving and dilatational parts is proposed, without relying on rate forms of the weak form of momentum balance.
Journal ArticleDOI
A return mapping algorithm for plane stress elastoplasticity
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, an unconditionally stable algorithm for plane stress elastoplasticity is developed, based upon the notion of elastic predictor-return mapping (plastic corrector). Enforcement of the consistency condition is shown to reduce to the solution of a simple nonlinear equation.
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
Accuracy and stability of integration algorithms for elastoplastic constitutive relations
Michael Ortiz,E. P. Popov +1 more
TL;DR: In this article, an analysis of accuracy and stability of algorithms for the integration of elastoplastic constitutive relations is carried out in the presence of the plastic consistency condition, and the criteria derived are used to identify two second-order accurate members of the proposed algorithms.