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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B¯ and F¯ projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements
TL;DR: In this paper, higher-order Non-Uniform Rational B-Splines (NURBS) are used for non-linear elasticity and plasticity analysis. But they are not suitable for the case of large deformation.
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A continuum-based finite element formulation for the implicit solution of multibody, large deformation-frictional contact problems
Tod A. Laursen,Juan C. Simo +1 more
TL;DR: In this article, a finite element treatment of multibody, large deformation frictional contact problems is presented, where the equations governing contact are developed in the continuum setting first, before deriving the corresponding finite element equations.
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Adaptive finite element methods in computational mechanics
Claes Johnson,Peter Hansbo +1 more
TL;DR: In this article, a general approach to adaptivity for finite element methods is presented and applications to linear elasticity, non-linear elasto-plasticity and nonlinear conservation laws, including numerical results.
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A hyperelastic‐based large strain elasto‐plastic constitutive formulation with combined isotropic‐kinematic hardening using the logarithmic stress and strain measures
TL;DR: In this paper, a set of constitutive equations for finite deformation metal plasticity is formulated and compared with an equivalent constitutive model based on the additive decomposition of the strain tensor.
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A general procedure for the direct computation of turning and bifurcation points
Peter Wriggers,Juan C. Simo +1 more
TL;DR: In this article, the authors address the formulation and numerical implementation of general purpose algorithme suitable for the direct computation of stability points in non-linear solid mechanics and demonstrate the effectiveness of the resulting algorithm by numerical simulation that include bifurcation and loss of stability in elastoplasticity, non linear rods and non linear three dimensional shells.
References
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Book
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.
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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.
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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.