黄 恺, 张振南. 三维单元劈裂法与压剪裂纹数值模拟[J]. 工程力学, 2010, 27(12): 51-058.
引用本文: 黄 恺, 张振南. 三维单元劈裂法与压剪裂纹数值模拟[J]. 工程力学, 2010, 27(12): 51-058.
HUANG Kai, ZHANG Zhen-nan. THREE DIMENSIONAL ELEMENT PARTITION METHOD AND NUMERICAL SIMULATION OF FRACTURES SUBJECTED TO COMPRESSIVE AND SHEAR STRESS[J]. Engineering Mechanics, 2010, 27(12): 51-058.
Citation: HUANG Kai, ZHANG Zhen-nan. THREE DIMENSIONAL ELEMENT PARTITION METHOD AND NUMERICAL SIMULATION OF FRACTURES SUBJECTED TO COMPRESSIVE AND SHEAR STRESS[J]. Engineering Mechanics, 2010, 27(12): 51-058.

三维单元劈裂法与压剪裂纹数值模拟

THREE DIMENSIONAL ELEMENT PARTITION METHOD AND NUMERICAL SIMULATION OF FRACTURES SUBJECTED TO COMPRESSIVE AND SHEAR STRESS

  • 摘要: 对材料裂纹扩展问题进行三维数值模拟对于实际工程具有重要意义。为了解决裂纹扩展模拟过程中网格重新划分问题,并有效地再现受压裂纹面之间的接触和摩擦效应,在二维单元劈裂法基础上进行拓展并推导了三维单元劈裂法。三维单元劈裂法利用四面体单元的几何性质,推导了三维劈裂单元刚度矩阵。通过该三维单元劈裂法,可以在原网格划分方案基础上直接对已有裂纹扩展问题进行模拟,而无需对原有网格划分进行调整,这为实际计算带来了很大的方便,提高了计算效率。数值模拟算例表明该方法是有效的。

     

    Abstract: Numerical simulation for three dimensional fracture propagation is of great significance for practical engineering. To address the mesh modification problem in simulating fractures by finite element method (FEM), the present paper develops the three dimensional element partition method based on the two-dimensional element partition method. The three-dimensional element partition method takes advantage of the geometry character of the tetrahedron element and derives the stiffness matrix of the partitioned element. Through this method, the fracture problem could be simulated in the original meshing scheme, which makes the simulation of fracture more convineint and efficient. The simulation example demonstrates that the present method is feasible.

     

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