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Self-gravitating st...
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Alho, ArturInstituto Superior Tecnico
(author)
Self-gravitating static balls of power-law elastic matter
- Article/chapterEnglish2022
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LIBRIS-ID:oai:research.chalmers.se:24e90507-f327-4c56-97c8-9c2aa8ad8a41
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https://research.chalmers.se/publication/540392URI
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https://doi.org/10.4310/ATMP.2022.v26.n9.a1DOI
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Language:English
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Summary in:English
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Subject category:art swepub-publicationtype
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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)
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Liljenberg, AstridChalmers tekniska högskola,Chalmers University of Technology
(author)
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Instituto Superior TecnicoChalmers tekniska högskola
(creator_code:org_t)
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In:Advances in Theoretical and Mathematical Physics26:9, s. 2885-29081095-07531095-0761
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