Auth: Bruno Sudret and Armen Der Kiureghian
Book Summary: This comprehensive technical report focuses on the intersection of structural reliability, probability theory, and Finite Element Analysis (FEA). It addresses a core limitation of traditional deterministic FEA: the assumption that material properties, geometry, and structural loading are exactly known values.
The authors provide a detailed literature review and mathematical framework for the Stochastic Finite Element Method (SFEM). The report examines methods for modeling spatial uncertainty—such as representing uncertain engineering parameters as random fields—and details various solution techniques, including perturbation methods, Neumann expansion, and spectral approaches (like Polynomial Chaos expansion). It is a vital reference for engineers and researchers focused on calculating the reliability, variance, and probability of failure in complex structural systems subject to real-world randomness.
