Thumbnail

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

View/Open
Type
Article accepté pour publication ou publié
Date
2007
Journal name
Journal of Elasticity
Volume
87
Number
1
Publisher
Springer
Pages
29-72
Publication identifier
Metadata
Show full item record
Author(s)
Grandmont, Céline
Maday, Yvon
Métier, P.
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 / Keywords
elastodynamics; large displacement; small strain; weak solution; existence; uniqueness