文中首先给出了杂交模式的裂纹尖端奇异单元的刚度矩阵，然后基于随机场的局部平均理论和一阶泰勒展开得到了应力强度因子均值和方差的计算公式。
The stiffness matrix of a hybrid crack-tip singular element is first derived, then by use of first-order Taylor expansion the mean and variance of stress intensity factors are formulated.
本文运用小参数展开法求解了这一大变形问题，获得应力场的二级近似公式。
By using the method of small parameter expansions the present boundary-value problem is solved. Thus the formula in the second approximation for the stress field is obtained.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
将复势函数进行罗伦级数展开，通过边界条件得到罗伦级数展开式系数的递推公式，并由复势函数确定应力分量和位移分量。
The complex potentials were expanded into Laurent Series whose coefficients could be expressed by recurrent relations. The stresses and displacements were then be determined by complex potentials.
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