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http://dspace.mediu.edu.my:8181/xmlui/handle/1721.1/3881| Title: | Computing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity |
| Keywords: | J-integral fracture mechanics linear elasticity |
| Issue Date: | 9-Oct-2013 |
| Description: | 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. Singapore-MIT Alliance (SMA) |
| URI: | http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
| Other Identifiers: | http://hdl.handle.net/1721.1/3881 |
| Appears in Collections: | MIT Items |
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