Response Variability and Reliability of Plates Using the Weighted Integral Method

by Friedrich J. Wall, Princeton Univ, Princeton, United States,
George Deodatis, Princeton Univ, Princeton, United States,

Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability


A methodology is introduced to perform both the response variability and reliability analysis of two-dimensional stochastic systems (specifically plates subjected to plane stress or plane strain). A stochastic finite element approach based on the concept of weighted integrals is utilized. Choosing a four-node rectangular finite element, the variability response function of the system is established in closed form. Then, the response variability is calculated by a first-order Taylor expansion and by numerical simulations. Finally, the safety index is computed using an advanced first-order second-moment approach.

Subject Headings: Plates | Integrals | Finite element method | Two-dimensional analysis | Stress analysis | Stress strain relations | Numerical models | Structural reliability

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