Please use this identifier to cite or link to this item: http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/3881
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dc.creatorXuan, Z.C.-
dc.creatorLee, Kwok Hong-
dc.creatorPatera, Anthony T.-
dc.creatorPeraire, Jaime-
dc.date2003-12-14T22:34:53Z-
dc.date2003-12-14T22:34:53Z-
dc.date2004-01-
dc.date.accessioned2013-10-09T02:32:55Z-
dc.date.available2013-10-09T02:32:55Z-
dc.date.issued2013-10-09-
dc.identifierhttp://hdl.handle.net/1721.1/3881-
dc.identifier.urihttp://koha.mediu.edu.my:8181/xmlui/handle/1721-
dc.descriptionWe present an a-posteriori method for computing rigorous upper and lower bounds of the J-integral in two dimensional linear elasticity. The J-integral, which is typically expressed as a contour integral, is recast as a surface integral which yields a quadratic continuous functional of the displacement. By expanding the quadratic output about an approximate finite element solution, the output is expressed as a known computable quantity plus linear and quadratic functionals of the solution error. The quadratic component is bounded by the energy norm of the error scaled by a continuity constant, which is determined explicitly. The linear component is expressed as an inner product of the errors in the displacement and in a computed adjoint solution, and bounded using standard a-posteriori error estimation techniques. The method is illustrated with two fracture problems in plane strain elasticity.-
dc.descriptionSingapore-MIT Alliance (SMA)-
dc.format1986710 bytes-
dc.formatapplication/pdf-
dc.languageen_US-
dc.relationHigh Performance Computation for Engineered Systems (HPCES);-
dc.subjectJ-integral-
dc.subjectfracture mechanics-
dc.subjectlinear elasticity-
dc.titleComputing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity-
dc.typeArticle-
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