Finite-Part Integral and Boundary Element Method to Solve Flat Crack Problems

Qin Tai-yan; Tang Ren-ji

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Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(12): 1045-1051

Qin Tai-yan, Tang Ren-ji. Finite-Part Integral and Boundary Element Method to Solve Flat Crack Problems[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1045-1051.

Citation:

Qin Tai-yan, Tang Ren-ji. Finite-Part Integral and Boundary Element Method to Solve Flat Crack Problems[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1045-1051.

Citation:

Qin Tai-yan, Tang Ren-ji. Finite-Part Integral and Boundary Element Method to Solve Flat Crack Problems[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1045-1051.

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Finite-Part Integral and Boundary Element Method to Solve Flat Crack Problems

Shanghai Jiaotong University, Shanghai

Received Date: 1991-11-06
Publish Date: 1992-12-15

Abstract

Abstract

Using the Somigliana formula and the concepts of finite-part integral,a set of hypersingular integral equations to solve the arbitrary flat crack in three-dimensional elasticity is derived and its numerical method is then proposed by combining the finite-part integral method with boundary element method.In order to verify the method,several numerical examples are carried out.The results of the displacement discontinuities of the crack surface and the stress intensity factors at the crack front are in good agrement with the theoretical solutions.
- hypersingular integral equations,
- three-dimensional fracture mechanics,
- finite-part integrals

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References(11)

References

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