各向异性板应力强度因子的变分解法

DETERMINATION OF SIF FOR ANISOTROPIC PLATES BY USING VARIATIONAL METHOD

Department of Flight Vehicle Design and Applied Mechanics Beijing Institiute of Aeronautics and Astronautics Beijing 100083, China

摘要

摘要: 本文在文献的基础上给出了含边缘裂纹各向异性板的应力与位移展开式, 并应用广义变分原理求解含对称中心裂纹、对称边缘裂纹与对称孔边裂纹正交各向异性板的应力强度因子。所得结果的收敛性是令人满意的。同时在各向同性的情况下, 所得结果与文献之结果非常符合。

Abstract: In this paper, the expansions of displacements and stresses of a plate with an edge crack are derived, according to the theary of anisotropic elasticity and the boundary conditions on tha crack surfacesa on the basis of above analysis, the stress intensity factors of orthotropic plates with central cracks, double edge cracks and nesa-hole cracks are calculated by means of generalized variational method.The convargenci}s of the computational resuits are satisfactorily well for all of the cases mentioned above.Finally, the reaults for isotropic cases agree with those of Ref (8) nicely.