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Enhanced Approach to Consistency in Gradient-Dependent Plasticity

Enhanced Approach to Consistency in Gradient-Dependent Plasticity This note proposes a modification of gradient-dependent plasticity to improve convergence. In gradient-dependent plasticity, the consistency condition, which results in a differential equation with respect to the plastic multiplier, is solved simultaneously with the equilibrium equation. In each iteration, the consistency condition is not really satisfied and the stress is generally not on the yield surface; this results in poor convergence. A modification is proposed, in which gradient-dependent plasticity is recast into the classical plasticity framework and a strict stress mapping strategy is established. Instead of solving a differential equation simultaneously with the equilibrium equation, the plastic multiplier is solved by minimizing a functional separately. The consistency condition can be satisfied and the stress is mapped back to the yield surface. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Structural Engineering SAGE

Enhanced Approach to Consistency in Gradient-Dependent Plasticity

Advances in Structural Engineering , Volume 7 (3): 5 – Jul 1, 2004

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Publisher
SAGE
Copyright
© 2004 SAGE Publications
ISSN
1369-4332
eISSN
2048-4011
DOI
10.1260/136943304323213229
Publisher site
See Article on Publisher Site

Abstract

This note proposes a modification of gradient-dependent plasticity to improve convergence. In gradient-dependent plasticity, the consistency condition, which results in a differential equation with respect to the plastic multiplier, is solved simultaneously with the equilibrium equation. In each iteration, the consistency condition is not really satisfied and the stress is generally not on the yield surface; this results in poor convergence. A modification is proposed, in which gradient-dependent plasticity is recast into the classical plasticity framework and a strict stress mapping strategy is established. Instead of solving a differential equation simultaneously with the equilibrium equation, the plastic multiplier is solved by minimizing a functional separately. The consistency condition can be satisfied and the stress is mapped back to the yield surface.

Journal

Advances in Structural EngineeringSAGE

Published: Jul 1, 2004

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