Mixed Finite Element Method for Contact Problems of Multibody

Based on the insights of high efficiency and accuracy, and avoiding influences of various user-defined parameters in mixed finite element method for solving contact problems, how to solve contact problems of multi-body by that is studied. Generalized Mohr-Coulomb law is adopted instead of classical Coulomb law as friction condition in solvable and judged conditions. Then relative spacing equation and compatibility equation in incremental form of mixed finite element method for solving contact problems of multi-body (FEM of multi-body) are presented, which can deal with rigid displacements of any bodies. For the characteristic of the relative slipping of contact nodes in any direction on the contact surface in 3D contact, contact states and slipping friction coefficient components are judged simultaneously in the program by which iteration and convergence are fast and accurate. For the common non-smooth contact namely corner problems in contact problems of multi-body, more appropriate and reasonable approaches are proposed by corner classification and real contact state of corners. Finally, the validity and accuracy of the developed method is demonstrated using a number of numerical examples, and from which a conclusion is drawn that the proposed method can be obviously applied to solving contact problems of multi-body in the hydraulic and civil engineering practice.