A General Physical-topological Framework using Rule-based Language for Physical Simulation

摘要

This paper presents a robust framework that combines a topological model (a generalized map or G-map) and a physical one to simulate deformable objects. The framework is general since it allows a general simulation of deformations (1) in different dimensions (2D or 3D), (2) with different types of meshes (triangular, rectangular, tetrahedral, hexahedral, and combinations of them...) and (3) physical models (mass/spring, linear FEM, co-rotational, mass/tensor). Any mechanical information is stored in the topological model and is used in combination with the neighboring relations to compute the equation of motions. To design this model, we have used JERBOA, a rule-based language relying on graph transformations to handle G-maps. This tool has been helpful to build and test different physical models in a little time.