Extremal Overall Elastic Response of Polycrystalline Materials

Martin P Bendsøe, Robert Lipton

    Research output: Book/ReportReport

    Abstract

    Polycrystalline materials comprised of grains obtained froma single anisotropic material are considered in the frameworkof linear elasticity. No assumptions on the symmetry of thepolycrystal are made. We subject the material to independentexternal strain and stress fields with prescribed mean values.We show that the extremal overall elastic response is alwaysachieved by a configuration consisting of a single properlyoriented crystal. This result is compared to results for isotropicpolycrystals.
    Original languageEnglish
    Number of pages16
    Publication statusPublished - 1996

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