The Brezis-Ekeland-Nayroles Minimization Principle With Mixed Finite Element Method For Elastoplastic Dynamic Problems

X. Cao, A. Oueslati, A. D. Nguyen,M. Stoffel, B. Market,G. De Saxce

XV INTERNATIONAL CONFERENCE ON COMPUTATIONAL PLASTICITY: FUNDAMENTALS AND APPLICATIONS (COMPLAS 2019)（2019）

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摘要

We propose a modification of the Hamiltonian formalism which can be used for dissipative systems, the Brezis-Ekeland-Nayroles principle. The formalism is specialized to the standard plasticity in small strains and dynamics. We apply it to solve the classical problem of a thin tube in plane strain subjected to an internal pressure. The continuum is discretized with mixed finite elements.

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关键词

Numerical simulations, Elastic plastic materials, Variational principal, Brezis-Ekeland-Nayroles principle, Constrained optimization

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