Numerical wrinkling prediction of thin hyperelastic structures by direct energy minimization

Yann Lecieux (1) , Rabah Bouzidi (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

This paper is concerned with an efficient algorithm for the wrinkling with finite strains of very thin structures made of hyperelastic material. In this work, the problem of wrinkling is solved by directly minimizing the total potential energy of the structure. The numerical solution is carried out by the means of an iterative method such as the conjugate gradient algorithm. Although the proposed approach is theoretically equivalent to the traditional finite element method, it proves to be an attractive alternative which is particularly efficient for thin wrinkled structures.

Mots clés: Wrinkling; Energy minimization; Rotation-free triangular shell element; Membranes experiments; Buckling; Biaxial load

Domaines: Mécanique [physics.med-ph]; Matériaux

Yann Lecieux, Rabah Bouzidi. Numerical wrinkling prediction of thin hyperelastic structures by direct energy minimization. Advances in Engineering Software, 2012, 50, pp.57 - 68. ⟨10.1016/j.advengsoft.2012.02.010⟩. ⟨hal-01007136⟩