Stochastic Finite-Element Analysis of Soil Layers with Random Interface
Publication: Journal of Engineering Mechanics
Volume 122, Issue 4
Abstract
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.
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Published In
Journal of Engineering Mechanics
Volume 122 • Issue 4 • April 1996
Pages: 361 - 369
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Apr 1, 1996
Published in print: Apr 1996
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