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Qualitative Properties of the Weak Solution of the First Problem in Plasticity Theory

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F05%3A01110704" target="_blank" >RIV/68407700:21110/05:01110704 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Qualitative Properties of the Weak Solution of the First Problem in Plasticity Theory

  • Original language description

    The goal of this paper is to prove the existence and uniqueness of the weak solution of the boundary value problem for the first problem in plasticity theory. We consider the general constitutive equations for elasto-plastic materials with internal statevariables. We use the fixed point theorem for contractive mapping and Lax-Milgram theorem to prove the general properties of the weak solution in Sobolev spaces.

  • Czech name

    Kvalitativní vlastnosti slabého řešení prvního problému teorie plasticity

  • Czech description

    Cílem je dokázat existenci a jednoznačnost slabého řešení prvního okrajového problému teorie plasticity za obecných konstitutivních vztahů popisujících elasto-plastické chování materiálu s vnitřními parametry.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2005

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Juniorstav 2005

  • ISBN

    80-214-2827-9

  • ISSN

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

  • Publisher name

    VUT FAST

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Feb 2, 2005

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article