確率有限要素法における破壊確率計算法の提案

抄録

Recently a stochastic finite element method (SFEM), which can treat stress analyses with stochastic variability, has been drawing attention particularly in the field of geotechnical engineering. This is due to the fact that design parameters such as material constants, external loads, etc., must be regarded as random variables.
In an ordinary SFEM, the probability density functions are usually assumed to be a normal distribution. The distribution of uncertainty, however, does not always follow the normal distributions in geotechnical engineering problems. Therefore, difficulties may arise when applying SFEM to non-normal distribution problems.
In this paper, a new method is proposed in order to overcome the above-mentioned difficulty of calculating failure probability. In the proposed method, the failure criterion is linealized at the failure point, and failure probability can be calculated on the integration of the linealized failure criterion by using random numbers.
Some numerical examples are demonstrated to verify the proposed method.