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Computing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity

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Show simple item record Xuan, Z.C. Lee, Kwok Hong Patera, Anthony T. Peraire, Jaime 2003-12-14T22:34:53Z 2003-12-14T22:34:53Z 2004-01
dc.description.abstract We 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. en
dc.description.sponsorship Singapore-MIT Alliance (SMA) en
dc.format.extent 1986710 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.relation.ispartofseries High Performance Computation for Engineered Systems (HPCES);
dc.subject J-integral en
dc.subject fracture mechanics en
dc.subject linear elasticity en
dc.title Computing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity en
dc.type Article en

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