含曲线裂纹圆柱扭转问题的新边界元法

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New Boundary Element Method for Torsion Problems of a Cylinder With Curvilinear Cracks

College of Engineering, Ocean University of China, Qingdao, Shandong 266071, P. R. China

摘要: 研究含曲线裂纹圆柱的Saint-Venant扭转，将问题化归为裂纹上边界积分方程的求解．利用裂纹尖端的奇异元和线性元插值模型，给出了扭转刚度和应力强度因子的边界元计算公式．对圆弧裂纹、曲折裂纹以及直线裂纹的典型问题进行了数值计算，并与用Gauss-Chebyshev求积法计算的直裂纹情形结果进行了比较，证明了方法的有效性和正确性．
- Saint-Venant扭转 /
- 曲线裂纹 /
- 边界积分方程 /
- 边界元 /
- 应力强度因子
Abstract: The Saint-Venant torsion problems of a cylinder with curvilinear cracks were considered and reduced to solving the boundary integral equations only on cracks.Using the interpolation models for both singular crack tip elements and other crack linear elements,the boundary element formulas of the torsion rigidity and stress intensity factors were given.Some typical torsion problems of a cylinder involving a straight,kinked or curvilinear crack were calculated.The obtained results for the case of straight crack agree well with those given by using the Gauss-Chebyshev integration formulas,which demonstrates the validity and applicability of the present boundary element method.
- Saint-Venant torsion /
- curvilinear crack /
- boundary integral equation /
- boundary element /
- stress intensity factor

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