Journal ArticleDOI
Consistent stiffness matrix in FE calculations of elasto-plastic bodies
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TLDR
In this article, a consistent stiffness matrix for the generalized trapezoidal rule is derived for the von Mises material model with mixed isotropic/kinematic hardening.About:
This article is published in Computers & Structures.The article was published on 1994-10-03. It has received 4 citations till now. The article focuses on the topics: Direct stiffness method & Stiffness matrix.read more
Citations
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Journal ArticleDOI
Accurate stress updating algorithm based on constant strain rate assumption
Mathias Wallin,Matti Ristinmaa +1 more
Journal ArticleDOI
An alternative method for the integration of continuum damage evolution laws
Mathias Wallin,Matti Ristinmaa +1 more
TL;DR: In this paper, the elasto-plastic constitutive equations are reformulated using the assumption of constant strain rate direction within a load increment, which results in a significantly reduced set of ODEs, allowing an efficient integration scheme to be obtained.
Journal Article
Radial return method applied in thick-walled cylinder analysis
TL;DR: In this article, the radial return method for elasto-plastic constitutive equations in the special case of analysis of a thick-walled cylinder is presented and sensitivity study concerning the integration step size is performed analytically for the specified case.
Journal ArticleDOI
Intégration numérique de lois de comportement élastoviscoplastique endommageable et applications
TL;DR: In this article, the authors present a numerical method for solving constitutive equations of a material behaviour model coupling elastoviscoplasticity and creep damage through the effective stress concept.
References
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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
An analysis of a new class of integration algorithms for elastoplastic constitutive relations
Michael Ortiz,Juan C. Simo +1 more
TL;DR: In this article, an accuracy analysis of a new class of integration algorithms for finite deformation elastoplastic constitutive relations was carried out, where attention was confined to infinitesimal deformations.
Journal ArticleDOI
A return mapping algorithm for plane stress elastoplasticity
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, an unconditionally stable algorithm for plane stress elastoplasticity is developed, based upon the notion of elastic predictor-return mapping (plastic corrector). Enforcement of the consistency condition is shown to reduce to the solution of a simple nonlinear equation.
Journal ArticleDOI
Accuracy and stability of integration algorithms for elastoplastic constitutive relations
Michael Ortiz,E. P. Popov +1 more
TL;DR: In this article, an analysis of accuracy and stability of algorithms for the integration of elastoplastic constitutive relations is carried out in the presence of the plastic consistency condition, and the criteria derived are used to identify two second-order accurate members of the proposed algorithms.
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