Reliability Assessment Using Stochastic Finite Element Analysis

By A. Haldar, Sankaran Mahadevan. 2000

615 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f51bcfa1dfc0ec2fc65bd5202a4913a0cf1bb412

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

First-order saddlepoint approximation for reliability analysis (2004, methodology): “8 1 { } log Y v F P Y y w w w     = ≤ = Φ +         (17)”
Probabilistic Evaluation of Structural Fire Resistance (2013, methodology): “01 can be calculated with 20% error using 10,000 samples [24].”
A new approach for solving inverse reliability problems with implicit response functions (2007, background): “A detailed description of the transformation procedure can be found in [11].”
Level set based robust shape and topology optimization under random field uncertainties (2010, methodology): “A random field can be spatially discretized by the spatial averaging method or the collocation method [62].”
A State-of-the-Art Review on Fatigue Life Assessment of Steel Bridges (2014, background): “[137] A.”
Influence of spatial variability on slope reliability using 2-D random fields. (2009, methodology): “…idea of the response surface method is to approximate the limit state boundary by an explicit function of the random variables and to improve the approximation via iterations In detail, the determination of in FORM is an iterative process as explained by Haldar and Mahadevan 2000 , for example .”
∞6 Mixed plate theories based on the Generalized Unified Formulation. Part V: Results (2009, background): “For instance, stochastic [17] analysis usually requires running a large amount of simulations, and it may be necessary to have a very fast FEM software.”