A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity

Arnst, Maarten; Ghanem, Roger

doi:10.1002/nme.3307

Article (Scientific journals)

A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity

Arnst, Maarten; Ghanem, Roger

2011 • In International Journal for Numerical Methods in Engineering

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https://hdl.handle.net/2268/103158

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10.1002/nme.3307

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Keywords :

variational methods; probabilistic methods; finite element methods

Abstract :

[en] This paper is concerned with stochastic boundary value problems (SBVPs) whose formulation involves inequality constraints. A class of stochastic variational inequalities (SVIs) is defined, which is well adapted to characterize the solution of specified inequality-constrained SBVPs. A methodology for solving such SVIs is proposed, which involves their discretization by projection onto polynomial chaos and collocation of the inequality constraints, followed by the solution of a finite-dimensional constrained optimization problem. Simulation studies in contact and elastoplasticity are provided to demonstrate the proposed framework.

Disciplines :

Mechanical engineering

Author, co-author :

Arnst, Maarten ; University of Southern California > Department of Civil and Environmental Engineering

Ghanem, Roger; University of Southern California > Department of Civil and Environmental Engineering

Language :

English

Title :

A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity

Publication date :

2011

Journal title :

International Journal for Numerical Methods in Engineering

ISSN :

0029-5981

eISSN :

1097-0207

Publisher :

John Wiley & Sons, Inc, Chichester, United Kingdom

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 15 November 2011

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