偏心裂纹与边裂纹柱扭转的应力强度因子*
Stress Intensity Factors of the Eccentric and Edge Cracked Cylinders
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摘要: 本文利用单裂纹解,将裂纹的不连续解分离,然后使用常规的调和函数解,使带有偏心裂纹或边裂纹的柱体扭转问题,归为解一组混合型积分方程,这组方程可联合使用奇异积分方程数值法与边界元法进行求解.文中对若干典型的裂纹柱体作了数值计算,得到了柱体的抗扭刚度和裂纹端点的应力强度因子.Abstract: Using the single crack solution and the regular solution of harmonic funetion the torsion problem of a cracked cylinder is reduced to solving a set of mixed-type integral equations which can be solved by combining the numerical method of singular integral equation with the boundary element method. Several numerical examples are calculated and the stress intensity factors are obtained.
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[1] Muskhelishvili,N.I.,Some Basic Problems of the Mathematical Theory of Elasticity,Holland(1953). [2] 汤任基,带裂纹圆柱的Saint-Versant扭转,力学学报,(4) (1982). [3] Brebbia,C.A.,The Boundary Element Method for Engineers,Pentch Press(1978). [4] Erdogan,F.,Mixed boundary value problems in mechanics,Mechanics Today,4(1978). [5] Tang Ren-ji and Chen Wei-jiang,Boundary element method to solve torsion problem of cracked cylinder,Acta Mechanica Solida Sinica,3(1990).
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