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HYPERELASTIC LIE QUADRATICS

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dc.creator Turhan, Tunahan
dc.creator YÜCESAN, Ahmet
dc.creator Tukel, Gozde Ozkan
dc.date 2019-05-31T21:00:00Z
dc.date.accessioned 2020-10-06T11:23:48Z
dc.date.available 2020-10-06T11:23:48Z
dc.identifier cc20286d-0a4c-4e0e-8bd6-0507190cab0d
dc.identifier 10.5831/hmj.2019.41.2.369
dc.identifier https://avesis.sdu.edu.tr/publication/details/cc20286d-0a4c-4e0e-8bd6-0507190cab0d/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/72221
dc.description Inspired by the problem of finding hyperelastic curves in a Riemannian manifold, we present a study on the variational problem of a hyperelastic curve in Lie group. In a Riemannian manifold, we reorganize the characterization of the hyperelastic curve with appropriate constraints. By using this equilibrium equation, we derive an Euler-Lagrange equation for the hyperelastic energy functional defined in a Lie group G equipped with bi-invariant Riemannian metric. Then, we give a solution of this equation for a null hyperelastic Lie quadratic when Lie group G is SO(3).
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title HYPERELASTIC LIE QUADRATICS
dc.type info:eu-repo/semantics/article


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