This advanced engineering text describes methods developed to deal with stochastic aspects of structural behavior, providing a framework for evaluating, comparing, and combining stochastic effects. Topics include second-moment reliability index methods; first-order reliability methods for computation of failure probabilities; identification of design parameters most affecting reliability; and more. 1986 edition.
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Stability Theory and Its Applications to Structural Mechanics by Clive L. Dym Self-contained text focuses on Koiter postbuckling analyses, with mathematical notions of stability of motion. It develops analyses from potential energy considerations, with applications to columns, plates, and arches. 1974 edition.
Nonstandard Methods in Stochastic Analysis and Mathematical Physics by Sergio Albeverio, Jens Erik Fenstad, Raphael Høegh-Krohn, Tom Lindstrøm Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.