An Algorithm for Two-Dimensional Mesh Generation for Arbitrary Regions with Cracks
نویسندگان
چکیده
This paper describes an algorithm for generating unstructured triangulations for arbitrarily shaped twodimensional regions. The algorithm works for regions without cracks, as well as for regions with one or multiple cracks. The algorithm incorporates aspects of well-known meshing procedures and includes some original steps. It includes an advancing front technique, which uses an quadtree procedure to develop local guidelines for the size of generated elements. The advancing front technique is based on a standard procedure found in the literature, to improve mesh quality (as far as element shape is concerned), an a posteriori local mesh improvement procedure is used.
منابع مشابه
Dynamic Fracture Analysis Using an Uncoupled Arbitrary Lagrangian Eulerian Finite Element Formulation
This paper deals with the implementation of an efficient Arbitrary Lagrangian Eulerian (ALE) formulation for the three dimensional finite element modeling of mode I self-similar dynamic fracture process. Contrary to the remeshing technique, the presented algorithm can continuously advance the crack with the one mesh topology. The uncoupled approach is employed to treat the equations. So, each t...
متن کاملA mesh generation procedure to simulate bimaterials
It is difficult to develop an algorithm which is able to generate the appropriate mesh around the interfaces in bimaterials. In this study, a corresponding algorithm is proposed for this class of unified structures made from different materials with arbitrary shapes. The non-uniform mesh is generated adaptively based on advancing front technique available in Abaqus software. Implementing severa...
متن کاملQuadtree and Octree Grid Generation
Engineering analysis often involves the accurate numerical solution of boundary value problems in discrete form. Hierarchical quadtree (or octree) grid generation offers an efficient method for the spatial discretisation of arbitrary-shaped two- (or three-) dimensional domains. It consists of recursive algebraic splitting of sub-domains into quadrants (or cubes), leading to an ordered hierarchi...
متن کاملAn Integrated Parallel System for Propagation of Arbitrary Cracks in Solid Models
To perform crack propagation in a solid model, a high computational power is required, mainly at three-dimensional mesh generation and structural analysis steps. At each crack propagation step, the mesh is rebuilt and a new structural analysis is performed. If a large scale cracked model is being analyzed, time consumed by mesh generation and analysis may be extremely large or even prohibitive ...
متن کاملTwo-Dimensional Boundary-Conforming Orthogonal Grids for External and Internal Flows Using Schwarz-Christoffel Transformation
In this paper, a Schwarz-Christoffel method for generating two-dimensional grids for a variety of complex internal and external flow configurations based on the numerical integration procedure of the Schwarz-Christoffel transformation has been developed by using Mathematica, which is a general purpose symbolic-numerical-graphical mathematics software. This method is highly accurate (fifth order...
متن کامل