A New Way to Model Physics-Based Topology Transformations: Splitting MAT

Abstract

This work focuses modelling and simulation of physics-based topological discontinuities in deformable objects, as they appear in fracturing, tearing or cracking phenomena. It introduces a new methodology, called “Splitting MAT”, which integrates into masses-interactions modelling. This methodology enables modelling topological discontinuities not on an interaction element, but directly on a mass element. The principles of the Splitting MAT method are presented and then illustrated through various models featuring topological transformations due to large physics based deformations. The properties of the method are analyzed: optimization of the modelling process of topological transformations, and fully stable memory and computational costs.