随机层状地质体的随机有限元模拟

SFEM MODELING FOR STOCHASTIC

采用随机有限元对由随机界面分开的两层土介质问题进行了模拟。通过Ｋａｒｈｕｎｅｎ－Ｌｏｅｖｅ展开与多项式混沌展开，处理了随机刚度矩阵的非线性，将问题转化为线性代数方程组求解。

This paper discusses the problem of a soil medium with two layers separated by an interface randomly fluctuating in space.The soil medium model with a surface foundation is analyzed by means of stochastic finite element method (SFEM),and the Karhunen Loeve and Polynomial Chaos expansions are utilized to treat a nonlinearity of stochastic stiffness matrix and to transform the problem into a system of linear algebraic equations to solve,and the results show that this method is feasible.