Our aim consists of studying, in the spirit of Gamma convergence, a dimension reduction problem for a multi-domain filled of either an hyperelastic material or a non simple grade-two one. We derive asymptotically the limit energy density starting from a sample described trough non convex bulk energy densities, depending either on the first or second order derivative of the displacement.
A Remark on the Junction in a Thin Multi-Domain: the Non Convex Case / Gargiulo, G; Zappale, Elvira. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 14:(2007), pp. 699-728. [10.1007/s00030-007-5046-8]
A Remark on the Junction in a Thin Multi-Domain: the Non Convex Case
ZAPPALE, ELVIRA
2007
Abstract
Our aim consists of studying, in the spirit of Gamma convergence, a dimension reduction problem for a multi-domain filled of either an hyperelastic material or a non simple grade-two one. We derive asymptotically the limit energy density starting from a sample described trough non convex bulk energy densities, depending either on the first or second order derivative of the displacement.File allegati a questo prodotto
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