抄録
A novel approach of the Eulerian finite element method for large deformation problems of solid is proposed in this paper. The proposed method uses Lagrangian marker particles to evaluate the motion of materials including the free surfaces and advection of internal variables. The equation of motion is approximated by the characteristic Galerkin finite element method with a fixed spatial mesh. In this approximation, the material derivatives are evaluated by the special numerical integration along the characteristics in which the locations of the integration points are set at those of the marker particle. The internal variables at the marker are updated from the spatial derivatives of velocity field calculated on the fixed finite element mesh. It is remarked that no advection equation appears in the proposed method and the proposed method exhibits less diffusive properties than the conventional Eulerian method.
