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A remark on polyconvex functions with symmetry

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00455131" target="_blank" >RIV/67985840:_____/16:00455131 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s10659-015-9537-2" target="_blank" >http://dx.doi.org/10.1007/s10659-015-9537-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10659-015-9537-2" target="_blank" >10.1007/s10659-015-9537-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A remark on polyconvex functions with symmetry

  • Original language description

    For a given polyconvex function W, among all associated convex functions g of minors there exists the largest one; this function inherits all symmetry properties of W. For a given associated (not necessarily the largest) function g, one can still find an associated (possibly not the largest) function with the symmetry of W. This function is constructed by averaging of symmetry conjugated functions over the symmetry group of W using Haar’s measure. It follows that if a symmetric polyconvex function W has class k=0,,infty associated function, then the averaging produces a symmetric associated function that is class k as well.

  • 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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Elasticity

  • ISSN

    0374-3535

  • e-ISSN

  • Volume of the periodical

    122

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    6

  • Pages from-to

    255-260

  • UT code for WoS article

    000368190300008

  • EID of the result in the Scopus database

    2-s2.0-84955330522