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Cauchy´s stress theorem for stresses represented by measures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F08%3A00307790" target="_blank" >RIV/67985840:_____/08:00307790 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Cauchy´s stress theorem for stresses represented by measures

  • Original language description

    A version of Cauchy´s stress theorem is given in which the stress describing is represented by a tensor valued measure with weak divergence a vector valued measure. The system of forces is formalized in the notion of an unbounded Cauchy flux. The main result of the paper says thet unbounded Cauchy fluxes are in one-to-one correspondence with tensor valued measures with weak divergence a vector valued measure.

  • Czech name

    Cauchyova věta o napětí pro napětí reprezentovaná mírami

  • Czech description

    Je dána verze Cauchyovy věty o napětí, v níž napětí je reprezentováno mírou se slabou divergencí reprezentovanou mírou.Systém sil je formalizován v pojmu neohraničeného Cauchyova toku. Hlavní výsledek článku říká, že neohraničené Cauchyovy toky jsou ve vzájemně jednoznačné korespondenci s mírami se slabou divergencí reprezentovanou mírou.

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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Continuum Mechanics and Thermodynamics

  • ISSN

    0935-1175

  • e-ISSN

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    22

  • Pages from-to

    75-96

  • UT code for WoS article

  • EID of the result in the Scopus database