Stochastic Finite-Element Analysis of Soil Layers with Random Interface
Stochastic Finite-Element Analysis of Soil Layers with Random Interface
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具有随机界面的土层的随机有限元分析
DOI：
10.1061/(asce)0733-9399(1996)122:4(361
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
W. Brzakala
中科院分区：
文献类型：
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作者：
R. Ghanem;W. Brzakala
本文讨论了由界面分隔的两层介质在空间中随机波动的问题。介质受到面内应变场的影响，模拟表面基础的影响。界面空间波动的二阶矩特性被用来制定的问题。利用Karhunen-Loeve和多项式混沌展开将问题转化为计算上易于处理的形式，从而得到一个线性代数方程组来求解。这个问题的困难源于随机性的几何性质，导致刚度矩阵在随机性中是非线性的。这导致了一个非线性随机问题，其解决方案是通过依赖于多项式混沌表示的随机过程。
This paper addresses the problem of a medium with two layers separated by an interface randomly fluctuating in space. The medium is subjected to an in-plane strain field simulating the effect of a surface foundation. The second-moments characteristics of the interface spatial fluctuations are used to formulate the problem. The Karhunen-Loeve and the polynomial chaos expansions are utilized to transform the problem into a computationally tractable form, thus resulting in a system of linear algebraic equations to solve. The difficulty in this problem stems from the geometric nature of the randomness, resulting in a stiffness matrix that is nonlinear in the randomness. This leads to a nonlinear stochastic problem, the solution of which is accomplished by relying on the polynomial chaos representation of stochastic processes.