DP-MPM: Domain partitioning material point method for evolving multi-body thermal–mechanical contacts during dynamic fracture and fragmentation

We propose a material point method (MPM) to model the evolving multi-body contacts due crack growth and fragmentation of thermo-elastic bodies. By representing particle interface with an implicit function, we adopt gradient partition techniques introduced by Homel Herbold (2017) identify separation between pair distinct surfaces. This treatment allows us replicate frictional heating interfaces predict energy dissipation more precisely in process. storing temperature at points, resultant MPM captures thermal advection–diffusion Lagrangian frame during fragmentation, which return affects structural across interfaces. The is capable replicating without requiring dynamic adaptation data structures or insertion elements. A staggered algorithm adopted integrate displacement sequentially. Numerical experiments are employed validate diffusion contact, contact interactions demonstrate how these thermo-mechanical processes affect path-dependent behaviors systems.