Peter Gibson's research while affiliated with Karlsruhe Institute of Technology and other places

Publication (1)

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The purpose of the present article is to give a precise definition and analysis from first principals of anisotropy, as the term applies to elastic media, taking care to avoid unnecessary assumptions. Two fundamental concepts, material invariance and symmetry group of a material, are defined purely in terms of the stress-strain relation. The implic...


... According to Helbig (1994) "Historically the study of anisotropic elastic materials has been synonymous with the study of crystals " [9], and according to L. Bos (2004) "This historical association does not stem from any sort of conceptual necessity. On the contrary, it is entirely possible to define and to analyze anisotropy in elastic media from first principles without any mention of crystals or of crystal symmetry. ...