A Modular Approach Based on Graph Transformation to Simulate Tearing and Fractures on Various Mechanical Models

Fatma Ben Salah (1, 2) , Hakim Belhaouari (1, 2) , Agnès Arnould (1, 2) , Philippe Meseure (1, 2)

1 XLIM-ASALI - Synthèse et analyse d'images
2 UP - Université de Poitiers = University of Poitiers

This paper introduces an extension of a general framework that allows the simulation of various mechanical models (discrete or continuous ones, for different kinds of meshes, in any dimension). This framework relies on a topological model and a rule-based language, that performs sub-graph matching and, possibly, transformations. This extension allows topological modifications such as tearing and fractures for all the implemented physical models. A general process has been used to simulate fractures and tearing: the topological transformation is described using the provided rule-based language and its application is triggered when a selected criterion is verified. Several criteria are proposed, that depend upon the strain or stress generated by a single or a set of interactions. This method raises the question of the link between the location where a criterion is applied and the mesh elements involved in a modification. This question has motivated us to design new criteria which are closely related to the mesh modification. Using this method, a minimal number of mechanical data need to be updated after a transformation and any interaction relying on mesh features (vertex, edge, face, volume) that are suppressed or split can be automatically ignored.

Mots clés: Physical simulation; tearing; fracture; criterion; topological model; graph recognition

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]

Fatma Ben Salah, Hakim Belhaouari, Agnès Arnould, Philippe Meseure. A Modular Approach Based on Graph Transformation to Simulate Tearing and Fractures on Various Mechanical Models. Journal of WSCG, 2017, 25 (1), pp.39-48. ⟨hal-01525488⟩