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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On theory and numerics of large viscoplastic deformation
TL;DR: In this article, a multiplicative theory and corresponding computations of finite elastic-viscoplastic deformations based on unified constitutive equations are presented, which can be used to generalize any unified evolution equations formulated for infinetismal strains to the range of finite strains.
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Constitutive modeling of ice in the high strain rate regime
Trisha Sain,R. Narasimhan +1 more
TL;DR: In this paper, a constitutive model for brittle cracking in ice is proposed, which considers the influence of important parameters such as strain rate dependence and pressure sensitivity on the response of the material.
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Shakedown and steady-state responses of elastic-plastic solids in large displacements
TL;DR: In this paper, the additive strain decomposition rule is applied to large displacements and the authors show that a long-term steady-state response (or steady cycle) occurs, which exhibits the same periodicity characteristics as in case of small displacements; that is, the (second Piola-Kirchhoff) stresses and the plastic strain rates become periodic as the load becomes periodic.
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Residual stress effects on plastic deformation and interfacial fracture in thin-film structures
TL;DR: In this article, residual stress in ductile thin films is shown to significantly affect the extent of film plasticity and interfacial fracture energy during debonding in thin-film structures, and the effect of residual stress on interfacial adhesion is rationalized in terms of the onset of yielding within the Cu film, which affects the contribution from plastic energy dissipation to the total interface fracture energy.
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Finite element analysis of base isolated buildings subjected to earthquake loads
TL;DR: In this article, a finite element formulation was developed to model hyperelastic quasi-incompressible rubber-like materials (elastomers) for seismic base isolation of structures, taking into account large displacements and large elastic strains as well as inelastic effects.
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.