【摘要】 本文首次应用随机有限元法研究了具有随机参数的含裂纹板裂纹尖端弯曲应力强度因子的统计性质。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。作为数例,详细讨论了杨氏模量、泊松比及板厚度的不确定性对应力强度因子的影响。更多还原

【Abstract】 This paper applies stochastic finite element method based on local averages of random fields to analyse statistical features of bending stress intensity factors for cracked plates with uncertain parameters. 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. As an example the effects of uncertainties of Young’s modulus. Possion’s ratio and plate thickness on plate bending stress intensity factors are investigated in detail.This paper applies stochastic finite element method based on local averages of random fields to analyse statistical features of bending stress intensity factors for cracked plates with uncertain parameters. 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. As an example the effects of uncertainties of Young’s modulus. Possion’s ratio and plate thickness on plate bending stress intensity factors are investigated in detail.更多还原