Performance of the p-version finite element method for limit analysis

In this paper, we investigate the use of the p-version finite element method in carrying out limit analysis using a mathematical programming-based static approach. An important motivation for this study is to overcome the well-known locking behavior—caused by the incompressibility constraint—that may occur in plane strain and 3D problems for such common yield criteria as von Mises’. Quadrilateral elements and plane stress or plane strain structures are specifically considered. Various examples are provided to highlight the robustness and accuracy of the approach.