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A platform for research: civil engineering, architecture and urbanism
Éléments finis stochastiques et fiabilité
This study addresses coupling of the finite element method and reliability methods for introducing the stochastics finite elements. First we describe two sensitivity analysis methods: perturbations around an average point and the Neumann expansion. We then show how to implement the FORM/SORM methods (First/Second Order Reliability Methods) for the reliability analysis based on the evaluation of the reliability index β and then on an approximation of the probability of failure. Algorithms coupling finite element software and reliability software are proposed. An example is described for the calculation of a fracture mechanics problem.
Éléments finis stochastiques et fiabilité
This study addresses coupling of the finite element method and reliability methods for introducing the stochastics finite elements. First we describe two sensitivity analysis methods: perturbations around an average point and the Neumann expansion. We then show how to implement the FORM/SORM methods (First/Second Order Reliability Methods) for the reliability analysis based on the evaluation of the reliability index β and then on an approximation of the probability of failure. Algorithms coupling finite element software and reliability software are proposed. An example is described for the calculation of a fracture mechanics problem.
Éléments finis stochastiques et fiabilité
Macias, Oscar Flores (author) / Lemaire, Maurice (author)
Revue Française de Génie Civil ; 1 ; 247-284
1997-01-01
38 pages
Article (Journal)
Electronic Resource
Unknown
reliability of structures , approximate methods of reliability (FORM and SORM) , stochastic finite element , random fields , implicit limit states , failure and safety domains , design codes , fracture mechanics , fiabilité des structures , méthodes fiabilistes approchées (FORM et SORM) , éléments finis stochastiques , champ aléatoire , état limite implicite , domaine de défailliance et de sûreté , codes de calculs , rupture fragile
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