(重庆大学 机械传动国家重点实验室，重庆 400044)
摘 要: 基于实验及Shiratori的有限元数据，拟合出铝合金板淬火残余应力的分布函数，用Shen-Glinka法确定椭圆裂纹的Ⅰ型应力强度因子的权函数，推导出权函数系数的表达式。在此基础上分析几种裂纹表面经典应力分布时的Ⅰ型应力强度因子，与Shiratori的有限元结果吻合良好，验证所建立的权函数具有较高的精度。结合淬火残余应力分布函数，推导出椭圆裂纹在淬火残余应力场中的Ⅰ型应力强度因子，得出不同点残余应力强度因子随裂纹扩展的变化趋势不同。
关键字: 铝合金；淬火残余应力；椭圆裂纹；应力强度因子；权函数
（State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China）
Abstract:Based on the experiments and Shiratori’s finite element data, the distribution functions of quenching residual stress in aluminum alloy plates were fitted, the weight functions of elliptical crack were derived by Shen-Glinka’s method. The weight functions were verified using available finite element results for basic mode of residual stress fields and good agreement is achieved, which approves that the weight functions appear to be particularly suitable for residual stress fields. Combined with the quenching residual stress distribution function, the mode I stress intensity factors of elliptical cracks in residual stress field were calculated using the weight functions, and the trends of residual stress intensity factor with crack propagation at different points are different.
Key words: aluminum alloy; quenching residual stress; elliptical crack; stress intensity factor; weight function
