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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A new class of algorithms for classical plasticity extended to finite strains. Application to geomaterials
Juan C. Simo,Günther Meschke +1 more
TL;DR: In this article, a methodology for computational plasticity at finite strains is re-examined within the context of geomechanical applications and cast in the general format of multi-surface plasticity.
Book
Numerical methods in structural mechanics
Zdeněk Bittnar,Jiří Šejnoha +1 more
TL;DR: This book provides a clear understanding of the nature and theoretical basis of the most widely used numerical methods - the finite element method and the boundary element method - while at the same time presenting the most promising directions for future developments.
Journal ArticleDOI
Continuum Foam: A Material Point Method for Shear-Dependent Flows
TL;DR: This work employs the material point method to discretize a hyperelastic constitutive relation augmented with the Herschel-Bulkley model of non-Newtonian viscoplastic flow, which is known to closely approximate foam behavior.
Journal ArticleDOI
Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions
TL;DR: In this paper, the authors propose a method for the construction of statistically similar representative volume elements (SSRVEs), which have much less complexity but reflect the essential morphological attributes of the microscale.
Journal ArticleDOI
Strongly non-local gradient-enhanced finite strain elastoplasticity
TL;DR: In this article, a strongly non-local formulation for ductile failure for finite strain plasticity is presented, which is an extension of a framework proposed by Simo (Computer Methods in Applied Mechanics and Engineering 1988; 66: 199) into the softening and localization regime.
References
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The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
Journal ArticleDOI
Numerical Methods for Nonlinear Variational Problems
Roland Glowinski,J. T. Oden +1 more
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Consistent tangent operators for rate-independent elastoplasticity☆
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, it is shown that consistency between the tangent operator and the integration algorithm employed in the solution of the incremental problem plays crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method.
Journal ArticleDOI
On numerically accurate finite element solutions in the fully plastic range
TL;DR: In this paper, a general criterion for testing a mesh with topologically similar repeat units is given, and it is shown that only a few conventional element types and arrangements are suitable for computations in the fully plastic range.