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

Abstract : 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.
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Submitted on : Thursday, July 5, 2018 - 4:51:15 PM
Last modification on : Friday, January 7, 2022 - 3:45:20 AM
Long-term archiving on: : Monday, October 1, 2018 - 6:46:01 PM

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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, University of West Bohemia, Czech Republic, 2017, 25 (1), pp.39-48. ⟨hal-01525488⟩

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