A mesh generation algorithm for simulation on fracture and fragmentation of brittle materials
Received:August 20, 2010  Revised:January 04, 2011
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DOI:10.7511/jslx20122014
KeyWord:mesh generation  random mesh  brittle materials  fracture and fragmentation  quality factor
        
AuthorInstitution
刘军 河海大学 岩土力学与堤坝工程教育部重点实验室, 南京 ; 河海大学 安全与防灾工程研究所, 南京
云斌 河海大学 岩土工程科学研究所, 南京
赵长冰 河海大学 岩土工程科学研究所, 南京
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Abstract:
      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.