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A meshfree method based on reproducing kernel approximation and point collocation is presented/or analysis of metal ring compression. The point collocation method is a true meshfree method without the employment of a background mesh. It is shown that, in a point collocation approach, the remesh problem because of the mesh distortion in FEM (finite element method) and the low efficiency in Galerkin-based meshfree method are avoided. The corrected kernel functions are introduced to the stabilization of free-surface boundary conditions. The solution of symmetric ring compression problem is compared with a conventional finite element solution, and reasonable results have been obtained.
A meshfree method based on reproducing kernel approximation and point collocation is presented / or analysis of metal ring compression. The point collocation method is a true meshfree method without the employment of a background mesh. It is shown that, in a point collocation approach, the remesh problem due to the mesh distortion in FEM (finite element method) and the low efficiency in Galerkin-based meshfree method are avoided. The solution of symmetrical ring compression problem is compared with a conventional finite element solution, and reasonable results have been obtained.