分析有限大内部开裂板的复变-变分方法及其应用

THE COMPLEX-VARIABLE-VARIATIONAL METHOD FOR ANALYSING FINITE INTERNALLY CRACKED PLATES AND ITS APPLICATION

本文利用复交函数方法导出了含内部裂纹有限大板的应力及位移的全场解。用变分原理处理边界条件,求解了含中心裂纹、孔边裂纹、偏心裂纹有限大板的应力强度因子,并对用铆接加强环加固以后的孔边开裂板进行了分析和计算。算例表明,本方法收敛快,省机时。

in this paper, a whole field solution to finite internally cracked places is derived by complex variable method, where the equations of equilibrium and compatibility, the single value condition of displacements and the traction-free condition on crack surfaces are satisfied exactly. The stress intensity factors of finite plates with central crack or eccentric crack or cracks emanating from a hole are calculated by using minimum potential energy principle to treat the boundary conditions excluding those on crack surfaces. As an application of the method to engineering problems, the computation about finite rivet joint stiffened plate with cracks emanating from a hole is also performed. The numerical results show that the method presented in this paper gives rapid convergence and is much time-saving in computations.