拉伸载荷作用下单边缺陷-边裂纹应力强度因子研究

Study on stress intensity factor with single edge defect crack under tensile load

利用杂交位移不连续法研究拉伸载荷作用下矩形板中单边缺陷-边裂纹(半圆孔裂纹和半方孔裂纹)问题,给出了这三种平面弹性裂纹问题的应力强度因子的详细数值解。通过半圆孔裂纹问题和半方孔裂纹问题与单边裂纹问题的应力强度因子的比较,发现半圆孔和半方孔对单边裂纹有屏蔽影响。此外,本文的研究结果表明,杂交位移不连续法用于分析平面弹性有限体中复杂裂纹问题的应力强度因子简单且又准确。

This paper deals with the rectangular tensile sheet with the single edge defect （crack, half- circular-hole crack and half-square-hole crack） by using the hybrid displacement discontinuity method （a boundary element method） proposed recently by the author. Detail solutions of the SIFs of the three plane elastic crack problems are given,which can reveal clearly the effect of geometric parameters of the cracked bodies on the SIFs. By comparing the calculated SIFs of the single edge half-circular-hole crack and the single edge half-square-hole crack with those of the single edge crack, in addition, a shielding effect of the half-circular hole and the half-square hole on the SIFs of the single edge crack is discussed. It is illustrated that the boundary element method is simple, yet accurate for calculating the SIFs of complex crack problems in finite plate.