A mesh generation algorithm for simulation on fracture and fragmentation of brittle materials
Changbing Zhao · Jisuan lixue xuebao · 2012
The fracture of brittle materials is a typically random process.The randomness has not been fully reflected in the existing mesh generation method,especially for the randomness of crack extension and fragments formation.In this study,an algorithm,which can dynamically control mesh quality,has been introduced on the basis of Persson's algorithm and Delaunay triangulation theory.The initial grid has been first generated by the Delaunay triangulation of random distribution points.Then the initial mesh can be improved by solving for equilibrium in a truss structure.Mesh points are nodes of the truss.The locations of truss nodes can be dynamically adjusted by the fictitious forces up to achieving a stable state.The convergence rate is significantly improved by modifying the mesh size function and convergence condition of Persson's method.Moreover,the algorithm can be suitable to arbitrary complex shaped object.The algorithm has been completed in C++ language.Several examples are given to illustrate the validity of this algorithm,which indicates that the algorithm can meet the requirements of simulation on the fracture and fragmentation of brittle materials.