Computing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity
| Autor: | Xuan, Z.C., Lee, Kwok Hong, Patera, Anthony T., Peraire, Jaime |
|---|---|
| Rok vydání: | 2004 |
| Předmět: | |
| Druh dokumentu: | Článek |
| Popis: | 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) |
| Databáze: | Networked Digital Library of Theses & Dissertations |
| Externí odkaz: |
|