Reference : A variational-inequality approach to stochastic boundary value problems with inequality ...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	To cite this reference:	http://hdl.handle.net/2268/103158

Title :	A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity
Language :	English
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 > > >]
Publication date :	2011
Journal title :	International Journal for Numerical Methods in Engineering
Publisher :	John Wiley & Sons, Inc
Audience :	International
ISSN :	0029-5981
City :	Chichester
Country :	United Kingdom
Keywords :	[en] 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.
Permalink :	http://hdl.handle.net/2268/103158
DOI :	10.1002/nme.3307

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