Coupling finite element and reliability analysis through proper generalized decomposition model reduction

SUMMARYThe FEM is the main tool used for structural analysis. When the design of the mechanical system involves uncertain parameters, a coupling of the FEM with reliability analysis algorithms allows to compute the failure probability of the system. However, this coupling leads to successive finite...

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Vydáno v:International journal for numerical methods in engineering Ročník 95; číslo 13; s. 1079 - 1093
Hlavní autoři: Gallimard, L., Vidal, P., Polit, O.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester Blackwell Publishing Ltd 28.09.2013
Wiley
Wiley Subscription Services, Inc
Témata:
Algorithms
Computer simulation
Engineering Sciences
Exact sciences and technology
Failure
finite element analysis
Finite element method
FORM approximation
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Joining
Mathematical analysis
Mathematical models
Mathematics
Mechanics
Mechanics of materials
model reduction
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Physics
proper generalized decomposition
Reliability analysis
Sciences and techniques of general use
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
structural reliability
Stratified material
Solid solid interface
Rupture
Structural reliability
model reduction
finite element analysis
Modeling
FORM approximation
Finite element method
Reduction method
Uncertain system
Proper generalized decomposition
Plane elasticity
System reduction
Mechanical system
Reduced order systems
Simulation model
Reduced order model
Algorithm analysis
Structural analysis
structural reliability
proper generalized decomposition
finite element analysis
ISSN:0029-5981, 1097-0207
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Shrnutí:SUMMARYThe FEM is the main tool used for structural analysis. When the design of the mechanical system involves uncertain parameters, a coupling of the FEM with reliability analysis algorithms allows to compute the failure probability of the system. However, this coupling leads to successive finite element analysis of parametric models involving high computational effort. Over the past years, model reduction techniques have been developed in order to reduce the computational requirements in the numerical simulation of complex models. The objective of this work is to propose an efficient methodology to compute the failure probability for a multi‐material elastic structure, where the Young moduli are considered as uncertain variables. A proper generalized decomposition algorithm is developed to compute the solution of parametric multi‐material model. This parametrized solution is used in conjunction with a first‐order reliability method to compute the failure probability of the structure. Applications to multilayered structures in two‐dimensional plane elasticity are presented.Copyright © 2013 John Wiley & Sons, Ltd.
Bibliografie:ark:/67375/WNG-4W426HFM-7
istex:0D7ED495063706A13B59E314873C6D6D9FF3E3E4
ArticleID:NME4548
Publishing Arts Research Council - No. 98-1846389
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SourceType-Scholarly Journals-1
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4548