隧道围岩弹塑性随机有限元分析及可靠度计算

在弹塑性有限元分析的初应力法基础上，推导了弹塑性随机有限元增量初应力法的计算迭代格式，结合可靠度理论，给出了围岩稳定的可靠度分析方法，在计算出可靠度的同时还给出了围岩和锚喷支护结构的应力特征值。并对一工程算例进行了详细的分析和讨论，得出了一些有益的结论。

Elastoplastic stochastic finite element analysis of surrounding rock of tunnel and its application to reliability calculation

Based on the initial stress method for elastoplastic finite element, analysis an iteration procedure for elastoplastic stochastic finite element analysis is proposed, and a method of reliability assessment for stability of surrounding rock is suggested based on the theory of structural reliability. The mean value and standard deviation of shotcrete’s stresses can be obtained. Corresponding computer program for elastoplastic stochastic finite element analysis and for reliability calculation of the safety of tunnel is developed .Two illustrative examples are presented; the first numerical example is examined to show that the proposed method yields accurate results compared with the direct difference results; the second example is for the stability analysis of tunnel; some useful conclusions are also obtained.