裂纹扩展时物理覆盖与流形单元的生成算法

Formation algorithm of covers and manifold elements in NMM during propagation of cracks

探讨了基于三角形有限元网格的平面流形元覆盖系统;通过设置流形单元的悬挂节点来修改裂纹扩展时流形覆盖系统中的节点下标(物理覆盖编码),通过初始有限单元被物理网格再剖分后所生成的流形单元链表的设置提出了裂纹扩展时新生成的流形单元中物理覆盖编码(有限单元节点及下标)、悬挂节点信息和积分区域角点信息的生成方法,进而提出了裂纹扩展时流形元方法的物理覆盖和流形单元的生成算法。并举例说明了该方法的可行性。

The cover system of the plane numerical manifold method (NMM) was discussed based on the mesh of the triangle finite element method (FEM). The numbers of physical cover of the cover system in NMM when the crack was extended were amended through the setting of hanging nodes. The formation methods of the numbers of physical cover, the hanging nodes and the angle notes of the integral area in the new manifold elements, when the crack was extended, were advanced through setting the chain list of the manifold elements only that were created when the original finite elements were disparted by physical mesh. Then the formation algorithm of the physical covers and the manifold elements in NMM were advanced when the crack was extended. The calculated result shows that the algorithm is feasible.