Largy deformation analysis of rubber based on a reproducing kernel particle method

摘要

A nonlinear formulation of the Reproducing kernel Particle Method (RKPM) is presented for the large deformation analysis of rubber materials which are con- sidered to be hyperelastic and nearly incompressible. In this approach, the global nodal shape functions derived on the basis of RKPM are employed in the Galerkin ap- proximation of the variational equation to formulate the discrete equations of a boundary-value hyperelasticity problem. Existence of a solution in RKPM discretized hyperelasticity problem is discussed. A Lagrange multi- plite method and a direct transformation method are presented to impose essential boundary conditions.