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  • Alho, ArturInstituto Superior Tecnico (author)

Self-gravitating static balls of power-law elastic matter

  • Article/chapterEnglish2022

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  • 2022

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  • LIBRIS-ID:oai:research.chalmers.se:24e90507-f327-4c56-97c8-9c2aa8ad8a41
  • https://research.chalmers.se/publication/540392URI
  • https://doi.org/10.4310/ATMP.2022.v26.n9.a1DOI

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  • Language:English
  • Summary in:English

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  • Subject category:art swepub-publicationtype
  • Subject category:ref swepub-contenttype

Notes

  • We study a class of power-law stored energy functions for spher-ically symmetric elastic bodies that includes well-known material models, such as the Saint Venant-Kirchhoff, Hadamard, Signorini and John models. We identify a finite subclass of these stored en-ergy functions, which we call Lamé type, that depend on no more material parameters than the bulk modulus k > 0 and the Pois-son ratio —1 < v < 1/2. A general theorem proving the existence of static self-gravitating elastic balls for some power-law materials has been given elsewhere. In this paper numerical evidence is pro-vided that some hypotheses in this theorem are necessary, while others are not.

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  • Calogero, Simone,1974Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)calogero (author)
  • Liljenberg, AstridChalmers tekniska högskola,Chalmers University of Technology (author)
  • Instituto Superior TecnicoChalmers tekniska högskola (creator_code:org_t)

Related titles

  • In:Advances in Theoretical and Mathematical Physics26:9, s. 2885-29081095-07531095-0761

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