Modeling and Analysis of an Elastic Problem with Large Displacements and Small Strains
Grandmont, Céline; Maday, Yvon; Métier, P. (2007), Modeling and Analysis of an Elastic Problem with Large Displacements and Small Strains, Journal of Elasticity, 87, 1, p. 29-72. http://dx.doi.org/10.1007/s10659-006-9097-6
TypeArticle accepté pour publication ou publié
Journal nameJournal of Elasticity
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Abstract (EN)In this paper we present and analyze a geometrically nonlinear formulation that models the unsteady motion of two and three-dimensional elastic structures in the case of large displacements-small strains. In a first part (Section 2) we derive the equations describing the motion of the body. In a second part (Section 3), existence of a weak solution is proved using a Galerkin method. We also prove that the solution is unique.
Subjects / Keywordselastodynamics; large displacement; small strain; weak solution; existence; uniqueness
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