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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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
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Book ChapterDOI
Evolution of Rate{Independent Inelasticity with Microstructure using Relaxation and Young Measures
TL;DR: In this paper, an energetic formulation for rate-independent inelasticity is proposed based on the dissipation distance on the internal state from which the incremental problems inherit a variational form which can be used to derive suitable relaxations.
Journal ArticleDOI
A multi-scale model for coupling strands with shear-dependent liquid
TL;DR: This work proposes a framework for simulating the complex dynamics of strands interacting with compressible, shear-dependent liquids, and presents a principled method to preserve the total momentum of a strand and its surface flow, as well as an analytic plastic flow approach that enables stable semi-implicit integration at larger time steps.
Journal ArticleDOI
The third Sandia Fracture Challenge: peridynamic blind prediction of ductile fracture characterization in additively manufactured metal
TL;DR: The modeling approach led to qualitatively good results and a correctly predicted crack path, but it underpredicted the load-carrying capacity of the structure and simulated an early fracture.
Sonderforschungsbereich 393 Numerische Simulation auf massiv parallelen Rechnern
TL;DR: In this article, the authors present a model for elastisch-plastischer deformation for numerischen behandlung in the context of kontinuumstheoretic behandling.
Journal ArticleDOI
Nonlinear analysis of shells using the MITC formulation
TL;DR: In this article, the formulation of general shell elements using the method of mixed interpolation of tensorial components (MITC) is reviewed for general nonlinear analysis under the restriction of small strains and the MITC4-TLH that was developed for finite strain elasto-plastic analysis of 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.
Journal ArticleDOI
Numerical Methods for Nonlinear Variational Problems
Roland Glowinski,J. T. Oden +1 more
Journal ArticleDOI
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.