An Object-Oriented MPM Framework for Simulation of Large Deformation and Contact of Numerous Grains

The Material Point Method (MPM) is more expensive in terms of storage than other methods, as MPM makes use of both mesh and particle data. Therefore, it is critical to develop an efficient MPM framework for engineering applications, such as impact and explosive simulations. This paper presents a new architecture for MPM computer code, developed using object-oriented design, which enables MPM analysis of a mass of grains, large deformation, high strain rates and complex material behavior. It is flexible, extendible, and easily modified for a variety of MPM analysis procedures. An MPM scheme combining contact algorithm with USF, USL and MUSL formulation is presented, and an improved contact detection scheme is proposed to avoid contact occurring earlier than actual time, and several schemes are developed to reduce the memory requirement and computational cost, including the local multi-mesh contact algorithm, dynamic internal state variables for materials, dynamic grid and moving grid technique. Finally, some numerical examples are presented to demonstrate the computational efficiency and memory requirement of the framework.