求解平片裂纹问题的有限部积分与边界元法

基金项目: 国家教委博士点基金资助项目

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

摘要: 本文利用位移的Somigliana公式和有限部积分的概念,导出了求解三维弹性力学中的任意形状平片裂纹问题的超奇异积分方程组,进而联合使用有限部积分法与边界元法对所得方程建立了数值法.为验证本文的方法,计算了若干数值例子的裂纹面的位移间断及裂纹前沿的应力强度因子,它们与理论值相比符合很好.
- 超奇异积分方程 /
- 三维断裂力学 /
- 有限部积分法
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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