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
Citations
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Dissertation
Hybrid High-Order methods for nonlinear solid mechanics
TL;DR: In this article, a hybrid high-order (HHO) method for nonlinear solid mechanics is proposed, which is formulated in terms of face unknowns on the mesh skeleton.
Journal ArticleDOI
Numerical integration of viscoplastic material laws at large strains with application to impact problems
N. Müller-Hoeppe,Peter Wriggers +1 more
TL;DR: In this paper, a finite element formulation for an elasto-viscoplastic model and finite strains was derived for the behavior of cylindrical bars under impact loads.
Book ChapterDOI
Constitutive Equations for Thermoinelasticity and Instability Phenomena in Thermodynamic Flow Processes
TL;DR: In recent years, there has been active research work in the field of the instability phenomena of plastic flow processes, particularly the localization of plastic deformation along a shear band treated as a prelude to failure initialization as discussed by the authors.
Posted ContentDOI
A Reactive Inelasticity Theoretical Framework for modeling Viscoelasticity, Plastic Deformation, and damage in Soft Tissue
TL;DR: A structurally inspired continuum mechanics framework based on the energy of molecular bonds that break and reform in response to external loading is formulated, which can be used to identify relationships between tissue’s mechanical response to External loading and its biopolymeric structure.
Journal ArticleDOI
Advantages of formulating an evolution equation directly for elastic distortional deformation in finite deformation plasticity
M.B. Rubin,Philip Cardiff +1 more
TL;DR: In this paper, the authors proposed an evolution equation for elastic deformation together with a simplified constitutive equation for inelastic distortional deformation rate, which can be used to calculate the exponential map of a tensor.
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.