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International Journal for Multiscale Computational Engineering
インパクトファクター: 1.016 5年インパクトファクター: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v5.i2.40
pages 105-116

A Variationally Consistent Formulation of Nonlocal Plasticity

Fabio De Angelis
Department of Structural Engineering, Faculty of Engineering, University of Naples "Federico II," Via Claudio, 21, 80125 Naples, Italy

要約

A formulation of nonlocal plasticity with kinematic and isotropic hardening is presented. The treatment is developed within the framework of an internal variable model. The nonlocal variables are defined as a weighted average of the corresponding local ones over all the material points in a representative volume centered at a given point. The constitutive relations are provided for the evolutive problem of the proposed nonlocal plasticity theory. The extremum properties of the model are illustrated, and it is shown that the present formulation satisfies a variational condition representing nonlocal maximum plastic dissipation. It is demonstrated that the yielding laws of the proposed nonlocal plasticity theory are the necessary and sufficient conditions for a nonlocal maximum plastic dissipation theorem. The proposed formulation of nonlocal plasticity is thus equipped with a sound variational basis that provides the theoretical support for further developments.


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