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Energetic approach to gradient plasticity

Result description

We formulate a problem of the evolution of elasto-plastic materials subjected to external loads in the framework of large deformations and multiplicative plasticity. Our model includes gradients of the plastic strain and of hardening variables. We provethe existence of the so-called energetic solution. The stored energy density function is assumed to be quasiconvex in the elastic strain which makes our results applicable to relaxed models of shape memory materials, for instance.

Keywords

gradient plasticityenergetic solution

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Energetic approach to gradient plasticity

  • Original language description

    We formulate a problem of the evolution of elasto-plastic materials subjected to external loads in the framework of large deformations and multiplicative plasticity. Our model includes gradients of the plastic strain and of hardening variables. We provethe existence of the so-called energetic solution. The stored energy density function is assumed to be quasiconvex in the elastic strain which makes our results applicable to relaxed models of shape memory materials, for instance.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

  • ISSN

    0044-2267

  • e-ISSN

  • Volume of the periodical

    90

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    14

  • Pages from-to

  • UT code for WoS article

    000274928800003

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2010