Discrete finite element method for multiple deformable bodies

Abstract

A numerical technique for the static and dynamic large deformation analysis of multiple interacting deformable bodies is proposed. The method combines the capabilities of the finite element method to model continuum with the flexibility of the discrete element method to model interactions among multiple bodies. Each body is treated as an individual discrete unit, which is idealized as a finite element mesh. Individual bodies may undergo large displacements, rotations and strains. Interactions among deformable bodies occur through contact stresses distributed over the actual area of contact. Contact stresses are continually updated as the bodies move and deform. The proposed method of analysis models the deformability of bodies accurately in a general and very effective manner and allows determination of stresses within individual units. The formulation of the method, including computational aspects of its implementation, is discussed in the paper. Examples are presented to illustrate the application of the proposed discrete finite element method.