2021 Volume 2021 Pages 20210022
The performance of the extended B-spline-based implicit material point method (EBS-MPM) in elastic-plastic problems is assessed in terms of accuracy and numerical stability. In order to examine the calculation accuracy and the capability in suppressing the volumetric locking and/or pressure oscillation due to plastic incompressibility, we carry out several verification analyses, in which both low and higher-order polynomials are adopted for the basis functions, in comparison with the result by the finite element method. It is also worth mentioning that the Nitsche’s method employed to impose an arbitrary boundary condition for the EBS-MPM enables us to carry out the present numerical verification.
