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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Multiplicative Hyperelastic-Based Plasticity for Finite Elastoplastic Deformation/Sliding: A Comprehensive Review
TL;DR: In this paper, the authors reviewed the applicability of the hyperelastic-based plastic constitutive equation based on the multiplicative decomposition of the deformation gradient tensor and its exact formulation is given for the description of the finite deformation and rotation.
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Deformation patterning in three-dimensional large-strain Cosserat plasticity
TL;DR: In this article, it was shown that the micro-rotations can be computed by solving stationary Allen-Cahn equations, which explains the occurrence of patterning leading to a partitioning of the domain into subsets with approximately constant rotations.
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Elasto-plastic large deformation analysis of multi-patch thin shells by isogeometric approach
TL;DR: In this paper, the authors employed the bending strip method to connect the patches in the structure of a thin shell to eliminate the strict demand of the C1 continuity condition, which is postulated in the Kirchhoff-love theory for thin shell, and therefore enabled them to use the standard multi-patch structure even with C0 continuity along the patch boundaries.
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Improving efficiency and robustness of enhanced assumed strain elements for nonlinear problems
TL;DR: In this paper, the authors extended the mixed integration point (MIP) method to EAS elements in order to overcome this drawback in numerous applications and generalized it to generic material models, which makes this simple method easily applicable for a broad class of problems.
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Numerical and experimental study of an interference fitted joint using a large deformation Chaboche type combined isotropic–kinematic hardening law and mortar contact method
A. Mohammadpour,T.N. Chakherlou +1 more
TL;DR: In this paper, a combined Chaboche type kinematic and isotropic hardening model is explained for large deformation with Henky strain description to evaluate strain ratcheting of interference fitted double shear lap joints near the hole based on the works of Montans et al.
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.