 |
Method of Fundamental Solutions for nonlinear elastic problems
1 : Laboratoire d'Ingénierie et Matériaux (LIMAT)
Faculté des Sciences Ben M'Sik, Université Hassan II de Casablanca, BP 7955, Sidi Othman, Casablanca, -
Maroc
2 : Faculté des Sciences Ben M'Sik
Université Hassan II de Casablanca, BP 7955, Sidi Othman, Casablanca, Maroc -
Maroc
The aim of this work is to propose an approach which combines the meshless method called Method of Fundamental Solutions (MFS) and the Asymptotic Numerical Method (ANM) to solve two-dimensional nonlinear elastic problems. The ANM transforms the nonlinear problems into a sequence of linear problem which can be solved by MFS. This last consists to approach the solution of the linear problem by a linear combination of fundamental solutions with respect to some source points which are located outside the domain. Numerical results are presented for a simple traction square plate in large deformation framework to show the efficiency of the proposed algorithm.
