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Computational Mechanics

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13-03-2023 | Original Paper

Introduction of pseudo-stress for local residual and algebraic derivation of consistent tangent in elastoplasticity

Authors: Takeki Yamamoto, Takahiro Yamada, Kazumi Matsui

Published in: Computational Mechanics | Issue 6/2023

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Abstract

In this article, an introduction of pseudo-stress for local residual and an algebraic derivation of consistent tangent are presented. The authors define a coupled problem of the equilibrium equation for the overall structure and the constrained equations for stress state at every material point, and the pseudo-stress and the derived consistent tangent can be implemented easily to finite element analysis. In the proposed block Newton method, the internal variables are also updated algebraically without any local iterative calculations. In addition, the authors demonstrate the performance of the proposed approach for both \(J_{2}\) plasticity and \(J_{2}\) plasticity under plane stress state.

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Title: Introduction of pseudo-stress for local residual and algebraic derivation of consistent tangent in elastoplasticity
Authors: Takeki Yamamoto
Takahiro Yamada
Kazumi Matsui
Publication date: 13-03-2023
Publisher: Springer Berlin Heidelberg
Published in: Computational Mechanics / Issue 6/2023
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI: https://doi.org/10.1007/s00466-023-02268-0

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