Computer Methods in Applied Mechanics and Engineering
On stress resultant geometrically exact shell model. Part I: formulation and optimal parametrization
Computer Methods in Applied Mechanics and Engineering
A globally convergent version of the Polak-Ribière conjugate gradient method
Mathematical Programming: Series A and B
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
Buckling and wrinkling of prestressed membranes
Finite Elements in Analysis and Design
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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.