Contact Analysis Within the Bi-Potential Framework Using Cell-Based Smoothed Finite Element Method

This paper presents a cell-based smoothed finite element method (CS-FEM) for solving two-dimensional contact problems with the bi-potential formulation. The force and relative displacements on surface are coupled each other. Uzawa algorithm, which is local iterative technique, used to solve force. classic Coulomb friction rule unilateral relationship considered. There no need select any user-defined parameter in whole process. Three states investigated accurately, can be stated as sticking, separating sliding, respectively. CS-FEM performed six different kinds of smoothing domains constructed by dividing background into regions. Only boundary integrations instead domain integral required calculation, coordinate mapping needed. numerical examples presented verify effectiveness method. effect coefficient also investigated. All obtained solutions agree well reference values. results produced more accurate than those traditional FEM. Moreover, provide both an upper bound lower strain energy while using domains.