Analysis of Elastic-Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method

A numerical model for the two-dimensional nonlinear elastic-plastic problem is proposed based on the improved interpolating complex variable element free Galerkin (IICVEFG) method and the incremental tangent stiffness matrix method. The viability of the proposed model is verified through three elastic-plastic examples. The numerical analyses show that the IICVEFG method has good convergence. The solutions using the IICVEFG method are consistent with the solutions obtained from the finite element method using the ABAQUS program. Moreover, the IICVEFG method shows greater computing precision and efficiency than the non-interpolating meshless methods.

Automated summary

A numerical model for the two-dimensional nonlinear elastic-plastic problem has been proposed based on the IICVEFG method and incremental tangent stiffness matrix method. The viability of the model has been verified through three elastic-plastic examples, showing good convergence and higher computing precision and efficiency compared to non-interpolating meshless methods. The solutions obtained using the IICVEFG method are consistent with those from finite element methods using ABAQUS program.