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Communication Dans Un Congrès Année : 2001

Study of an Elastoplastic Model With an Infinite Number of Degrees of Freedom

Résumé

Abstract We deal with the dynamical behavior of continuous elasto-plastic model of Masing, consisting of infinite number of springs and dry-friction elements. Using theory of differential inclusions we provide existence and uniqueness result. Moreover, we prove that continuous model is the limit of the discrete Masing model when the number of degrees of freedom tends to infinity. Starting from known results of numerical analysis, we build an implicit Euler-like numerical scheme of order one.
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hal-04216235 , version 1 (23-09-2023)

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Jérôme Bastien, Claude-Henri Lamarque, Michelle Schatzman. Study of an Elastoplastic Model With an Infinite Number of Degrees of Freedom. ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Sep 2001, Pittsburgh, United States. pp.1307-1313, ⟨10.1115/DETC2001/VIB-21456⟩. ⟨hal-04216235⟩
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