Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal for Multiscale Computational Engineering
Fator do impacto: 1.016 FI de cinco anos: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Imprimir: 1543-1649
ISSN On-line: 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

RESUMO

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.


Articles with similar content:

DEFORMATION OF A THIN LAYER THAT IS BONDED TO A MASSIVE SUBSTRATE IN THE THEORY OF THERMOELASTIC MATERIALS WITH VOIDS
Nanoscience and Technology: An International Journal, Vol.5, 2014, issue 1
Yury Solyaev, Sergey A. Lurie
THE THEORY OF MEDIA WITH DEFECT FIELDS AND MODELS OF DEFORMATION OF FUNCTIONAL LAYERS IN ISOTROPIC MATERIALS
Nanoscience and Technology: An International Journal, Vol.6, 2015, issue 1
Sergey A. Lurie, K. D. Kharchenko, P. A. Belov
Nonlinear viscoelastic analysis of statistically homogeneous random composites
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 4
Michal Sejnoha, R. Valenta, Jan Zeman
EFFECTIVE THERMOELASTIC PROPERTIES OF HETEROGENEOUS THERMOPERISTATIC BAR OF RANDOM STRUCTURE
International Journal for Multiscale Computational Engineering, Vol.13, 2015, issue 1
Valeriy A. Buryachenko, Chen Wanji, Yang Shengqi
EFFECTIVE ELASTIC MODULUS OF PERISTATIC BAR WITH PERIODICALLY DISTRIBUTED DAMAGE
International Journal for Multiscale Computational Engineering, Vol.16, 2018, issue 1
Valeriy A. Buryachenko