| 摘要(英) |
The M-integral is the one of major parameter for the fracture behavior. In this paper, a numerical procedure, incorporated with the finite element method, is developed for calculation of the 3D linear elastic solid is subjected to mixed-mode load with 3D cracks. First, verify M-integral for the arbitrary shaped cracks in 2D problem and the arbitrary shaped cracks in 3D problem. Second, verify the property of surface independent.
In the 3D single crack problem, M-integral computation result can verify the property of surface independent and origin independent. In the 3D multiple cracks problem, M-integral computation result is associated with geometric center, and cracks geometric position influence computation result.
Furthermore, 3D FEM mesh is more complicated than 2D FEM mesh, so testing a good and useful mesh is also important in this research. The definition of integral region is different between the single crack and multiple cracks in 3D, and therefore calculate M-integral for the single crack problem and multiple cracks problem in this research.
Keywords : M-integral, finite element method, surface independent, origin independent, geometric center
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