Reference : A variational-inequality approach to stochastic boundary value problems with inequality ...
Scientific journals : Article
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/103158
A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity
English
Arnst, Maarten [University of Southern California > Department of Civil and Environmental Engineering > > >]
Ghanem, Roger mailto [University of Southern California > Department of Civil and Environmental Engineering > > >]
2011
International Journal for Numerical Methods in Engineering
John Wiley & Sons, Inc
Yes (verified by ORBi)
International
0029-5981
Chichester
United Kingdom
[en] variational methods ; probabilistic methods ; finite element methods
[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.
http://hdl.handle.net/2268/103158
10.1002/nme.3307

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Restricted access
arnst2011.pdfPublisher postprint1.33 MBRequest copy

Bookmark and Share SFX Query

All documents in ORBi are protected by a user license.