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Continuum Mechanics and Thermodynamics

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13.09.2019 | Original Article

Quasiconvex envelope for a model of finite elastoplasticity with one active slip system and linear hardening

verfasst von: Sergio Conti , Georg Dolzmann

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 4/2020

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Abstract

An explicit characterization of the quasiconvex envelope of the condensed energy in a model for finite elastoplasticity is presented, both in two and in three spatial dimensions. A variational formulation of plasticity, which is appropriate for the first time step in a time discrete formulation of the evolution problem, is used, and it is assumed that only one slip system is active. The model includes a nonlinear elastic energy, which is invariant under SO(n), and an effective plastic contribution which is quadratic in the slip parameter. The quasiconvex envelope arises via the formation of first-order laminates.

Vorheriger Artikel Regarding some thermoelastic models of “coating-substrate” system deformation

Nächster Artikel On the cell-dependent vibrations and wave propagation in uniperiodic cylindrical shells

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Titel: Quasiconvex envelope for a model of finite elastoplasticity with one active slip system and linear hardening
verfasst von: Sergio Conti
Georg Dolzmann
Publikationsdatum: 13.09.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Continuum Mechanics and Thermodynamics / Ausgabe 4/2020
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI: https://doi.org/10.1007/s00161-019-00825-8

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