Variability Response Functions of Stochastic Plane Stress/Strain Problems
Publication: Journal of Engineering Mechanics
Volume 120, Issue 9
Abstract
The concept of variability response function based on the weighted‐integral method is extended to two‐dimensional plane stress/plane strain stochastic problems in order to calculate their response variability (in terms of second moments of response quantities) and reliability (in terms of the safety index) with great accuracy even when using relatively coarse finite‐element meshes. The concept of variability response function is used to establish spectral‐distribution‐free upper bounds of the response variability. In addition, the variability response function based on the local‐averaging method is introduced to reduce the computational effort associated with the weighted‐integral method. The two methods are compared to estimate the relative accuracy of the more approximate local‐averaging method. The response variability is calculated using a first‐order Taylor expansion approximation of the response quantities. The safety index is calculated using the advanced first‐order second‐moment approach. One of the most important findings is that the coefficient of variation of certain response quantities can be much larger than the coefficient of variation of the elastic modulus (the input quantity).
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 9 • September 1994
Pages: 1963 - 1982
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 16, 1993
Published online: Sep 1, 1994
Published in print: Sep 1994
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