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International Journal for Multiscale Computational Engineering

 

ISSN for PRINT: 1543-1649

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$747.00

Issues per year:

6

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2007, Volume5

Issue 2
Guest Editor P. Trovalusci

  100 pages  

DOI: 10.1615/IntJMultCompEng.v5.i2   

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Issue price - $138.00  

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  • 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


    ABSTRACT

    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.

    DOI: 10.1615/IntJMultCompEng.v5.i2.40

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