Book ChapterDOI
The stochastic finite element method in structural reliability
Armen Der Kiureghian,Jyh-Bin Ke +1 more
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In this article, first-order reliability and finite element methods are used to develop a methodology for reliability analysis of structures with stochastically varying properties and subjected to random loads, and the influence of the correlation length of random property or load fields on the reliability of example structures are investigated.About:
This article is published in Probabilistic Engineering Mechanics.The article was published on 1988-06-01. It has received 515 citations till now. The article focuses on the topics: Random field & Finite element method.read more
Citations
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Journal ArticleDOI
The stochastic finite element method: Past, present and future
TL;DR: A state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future are provided.
Journal ArticleDOI
Optimization algorithms for structural reliability
TL;DR: In this paper, several optimization algorithms are evaluated for application in structural reliability, where the minimum distance from the origin to the limit-state surface in the standard normal space is required, and the objective is to determine the suitability of the algorithms for application to linear and nonlinear finite element reliability problems.
Journal ArticleDOI
Optimal discretization of random fields
Chun-Ching Li,A. Der Kiureghian +1 more
TL;DR: The new method is found to be more efficient than other existing discretization methods, and more practical than a series expansion method employing the Karhunen‐Loeve theorem, and particularly useful for stochastic finite element studies involving random media.
Journal ArticleDOI
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
TL;DR: In this paper, the mathematical setting of stationary systems modelled by elliptic partial differential equations with stochastic coefficients (random fields) is investigated and stability with respect to stability.
Journal ArticleDOI
Stochastic Finite Element Expansion for Random Media
Pol D. Spanos,Roger Ghanem +1 more
TL;DR: In this paper, a new method for the solution of problems involving material variability is proposed, which makes use of the Karhunen-Loeve expansion to represent the random material property.
References
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Book
Probability Concepts in Engineering Planning and Design
TL;DR: This research attacked the mode confusion problem by developing a modeling framework called “model schizophrenia” to estimate the posterior probability of various modeled errors.
Journal ArticleDOI
Random Fields: Analysis and Synthesis.
J. K. Ord,Erik H. Vanmarcke +1 more
TL;DR: The purpose of this book is to bring together existing and new methodologies of random field theory and indicate how they can be applied to these diverse areas where a "deterministic treatment is inefficient and conventional statistics insufficient."
Book
Random fields, analysis and synthesis
TL;DR: In this paper, the authors review the classical theory of multidimensional random processes and introduce basic probability concepts and methods in the random field context and give a concise amount of second-order analysis of homogeneous random fields in both the space-time domain and the wave number-frequency domain.
Journal ArticleDOI
Structural reliability under incomplete probability information
TL;DR: In this paper, a comprehensive framework for the analysis of structural reliability under incomplete probability information is presented, consistent with the philosophy of Ditlevsen's generalized reliability index and complements existing second-moment and full-distribution structural reliability theories.