求解受钉传载荷正交各向异性板双边缺口边缘裂纹应力强度因子的复变——广义变分解法
ANALYTICAL-GENERALIZED VARIATIONAL METHOD IN SOLUTION OF THE STRESS INTENSITY FACTORS FOR A DOUBLE NOTCH EDGE CRACK IN ORTHOTROPIC PLATE SUBJECTED TO PIN LOADS
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摘要: 本文以单边边缘裂纹二维应力场与位移场展开式为基础,采用广义变分方法研究受钉传载菏各向异性板双边缺口边缘裂纹应力强度因子。首先建立精确满足正文各向异性板基本微分方程、裂纹表面边界条件、钉载孔处位移单值条件与合力平衡条件的应力场和位移场的级数表达式。然后应用广义变分方法满足边界条件从而确定应力强度因子,在变分方程中只存在沿板边界的线积分、计算程序简单,输入数据很少,结果收敛迅速,并与已知结果相当吻合而且所需机时较少。Abstract: A description is given for a complex variable-variational method (CYVM) to investigate the stress intensity factors (S.I.F.)for the double notch edbe crack in isotropic or orthotropic plate subjected to pin loads.Numerical studies reveal that the convergent results are given by a quite simple program whicli reduces data manipulation and computer time. A very satisfactory degree of accuracy is obtained from the results when compared with the findings of earlier studies.
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