Quadratic invariants of elastic moduli

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dc.creatorNorris, Andrew N.
dc.date2006-12-19
dc.date2007-03-09
dc.date.accessioned2026-07-07T08:24:48Z
dc.date.available2026-07-07T08:24:48Z
dc.descriptionA quadratic invariant is defined as a quadratic form in the elements of a tensor that remains invariant under a group of coordinate transformations. It is proved that there are 7 quadratic invariants of the 21-element elastic modulus tensor under SO(3) and 35 under SO(2). This answers some open questions raised by Ting (1987) and Ahmad (2002).
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0612506
dc.identifierhttp://arxiv.org/abs/cond-mat/0612506
dc.identifierQuart. J. Mech. Appl. Math. 60, 367-389, 2007.
dc.identifierdoi:10.1093/qjmam/hbm007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136463
dc.subjectMaterials Science
dc.titleQuadratic invariants of elastic moduli
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