Generalized midpoint integration algorithms for J2 plasticity with linear hardening |
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Authors: | E. Artioli F. Auricchio L. Beirão da Veiga |
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Affiliation: | 1. Dipartimento di Meccanica Strutturale, Università di Pavia, Via Ferrata 1, Pavia 27100, Italy;2. Istituto di Matematica Applicata e Tecnolgie Informatiche del CNR, Via Ferrata 1, Pavia 27100, ItalyIstituto di Matematica Applicata e Tecnologie Informatiche del CNR, Via Ferrata 1, Pavia 27100, Italy;3. Istituto di Matematica Applicata e Tecnolgie Informatiche del CNR, Via Ferrata 1, Pavia 27100, Italy;4. Dipartimento di Matematica ‘F. Enriques’, Università di Milano, Via Saldini 50, Milano 20133, Italy |
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Abstract: | We consider four schemes based on generalized midpoint rule and return map algorithm for the integration of the classical J2 plasticity model with linear hardening. The comparison, aiming to establish which is the preferable scheme among the four considered, is both theoretical and numerical. On one side, extending and completing the existing results in the literature, we investigate the four schemes from the theoretical viewpoint, addressing in particular the existence of solution, long‐term behaviour, accuracy and stability. On the other hand, we develop an extensive set of numerical tests, based on pointwise stress–strain loading histories, iso‐error maps and initial boundary‐value problems. Copyright © 2007 John Wiley & Sons, Ltd. |
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Keywords: | plasticity generalized midpoint rule return map second order method linear hardening |
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