The interpolating element-free Galerkin method for three-dimensional elastoplasticity problems

In this paper, the interpolating element-free Galerkin (IEFG) method for solving the three-dimensional (3D) elastoplasticity problems is presented. By using the improved interpolating moving least-squares method to form the approximation function, and using the Galerkin weak form of 3D elastoplasticity problems to obtain the discretilized equations, we present the formulae of the IEFG method for the 3D elastoplasticity problems. The method can apply the displacement boundary conditions directly, which results in higher computational efficiency and accuracy. Numerical examples are given to discuss the influences of node distributions, scale parameters of influence domains and the loading steps on the computational accuracy of numerical solutions of the IEFG method. The numerical results show that, comparing with the element-free Galerkin method, the IEFG method for 3D elastoplasticity problems in this paper has higher computational efficiency and accuracy. In this paper, the interpolating element-free Galerkin (IEFG) method for solving the three-dimensional (3D) elastoplasticity problems is presented. By using the improved interpolating moving least-squares method to form the approximation function, and using the Galerkin weak form of 3D elastoplasticity problems to obtain the discretilized equations, we present the formulae of the IEFG method for the 3D elastoplasticity problems. The method can apply the displacement boundary conditions directly, which results in higher computational efficiency and accuracy. Numerical examples are given to discuss the influences of node distributions, scale parameters of influence domains and the loading steps on the computational accuracy of numerical solutions of the IEFG method. The numerical results show that, comparing with the element-free Galerkin method, the IEFG method for 3D elastoplasticity problems in this paper has higher computational efficiency and accuracy.