针对固体火箭发动机药柱上裂纹的三维性和受力复杂性，文章提出采用三维J积分理论和数值仿真来计算药柱上裂纹缝线上的J积分值，并给出了三维J积分的体积分表达式和有限元数值分析方法；通过对固体火箭发动机药柱上在燃烧室星角处的一条典型裂纹——横向贯穿楔形裂纹仿真计算，得出裂纹缝线上J积分值呈现中间高两端低的非均匀分布特点，证明了三维J积分理论在固体火箭发动机装药裂纹危险性研究上的适用性。%Aiming to the 3-D characteristics of the crack and its force application complexity in solid rocket motor grain, the application of 3-D J-integral theory and numerical simulation to calulate the J-integral values at the Gauss integration points of the crack line was proposed in the dissertation, and the 3-D volumic J-integral expression and the finite-element numerical analysis method were given out. The wedge crack which traversed through the projection of star grain was simu⁃lated as a typical crack in solid rocket motor. As shown in the calculation results, the J-integral distribution along the crack front line behaved as the varying characteristics of high value at the center and low value in both sides, which proved that 3-D J-integral calculation method was suitable to reasearch the risk of solid rocket motor grain crack.
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