应力强度因子表征了裂纹尖端奇异应力场的强度,它是研究裂纹扩展规律和带裂纹构件强度的基础。采用有限元法,对受均布荷载作用存在边缘Ⅰ型裂纹的平面板进行了数值分析。研究了裂纹尖端圆弧对应力强度因子的影响,分别计算了具有不同裂尖圆弧r0的Ⅰ型裂纹的应力强度因子。采用应力法计算不同半径处的表观应力强度因子,插值到裂尖圆弧而得。根据计算结果,绘制K1-r0曲线,利用最小二乘法拟合至尖裂纹(r0=0)即得理想尖裂纹的应力强度因子,与解析解相差仅0.7%。该曲线为带圆弧裂纹的应力强度因子测试和带圆弧裂纹构件强度计算提供了依据。
Stress intensity factor indicates the strength of the singular stress field at crack-tip , it is the basis of studying the law of crack propagating and the strength of the component with crack . The finite element method is used, a plate with edge crack subjected to remote tensile is analysised numerically. The effect of crack tip arc on stress intensity factor is studied assuming plane stress condition. The stress intensity factors K1 with different crack tip arcs are separately calculated. Apparent stress intensity factor K1 with different radius are calculated by the stress method and K1 is obtained by interpolation to the crack tip circular arc. According to the calculated results, the K 1 - r0 curve is mapped, and interpolated to tbe crack tip (r0 = 0) to obtained K1 which is namely the stress intensity factor of ideal crack tip. There is a difference of only 0. 7% with approximate formula. The curve provides the basis for the testing of stress intensity factor with crack tip arc the strength analysis of component with arc crack.