BFEM on Convex Polygonal Mesh for Geometrically Nonlinear Problems

Abstract

In this chapter, the model of the base force element method (BFEM) on the convex polygonal mesh is studied based on the complementary energy principle for two-dimensional geometrically nonlinear problems. The performances of 2D BFEM for geometrically nonlinear problems are researched. A number of highly geometrically nonlinear problems are solved using the BFEM. The results of BFEM are compared with the traditional 4-node quadrilateral isoparametric element (Q4 model) and 4-node quadrilateral reduced integration element (Q4R model). The numerical results of examples show that the BFEM has good performance. The two-dimensional formulation of BFEM with complementary energy principle provides reliable predictions for convex polygonal mesh problems in geometrically nonlinear analysis.