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Numerical approaches to rate-independent processes and application in inelasticity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F09%3A00207258" target="_blank" >RIV/00216208:11320/09:00207258 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical approaches to rate-independent processes and application in inelasticity

  • Original language description

    A conceptual numerical strategy for rate-independent processes in the energetic formulation is proposed and its convergence is proved under various rather mild data qualifications. The novelty is that we obtain convergence of subsequences of space-time discretizations even in case where the limit problem does not have a unique solution and we need no additional assumptions on higher regularity of the limit solution. The variety of general perspectives thus obtained is illustrated on several specific examples: plasticity with isotropic hardening, damage, debonding, magnetostriction, and two models of martensitic transformation in shape-memory alloys.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ESAIM - Mathematical modelling and numerical analysis-modelisation mathematique ate analyse numerique

  • ISSN

    0764-583X

  • e-ISSN

  • Volume of the periodical

    43

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    30

  • Pages from-to

  • UT code for WoS article

    000266286800001

  • EID of the result in the Scopus database