| dc.creator |
Xuan, Z.C. |
|
| dc.creator |
Lee, Kwok Hong |
|
| dc.creator |
Patera, Anthony T. |
|
| dc.creator |
Peraire, Jaime |
|
| dc.date |
2003-12-14T22:34:53Z |
|
| dc.date |
2003-12-14T22:34:53Z |
|
| dc.date |
2004-01 |
|
| dc.date.accessioned |
2013-10-09T02:32:55Z |
|
| dc.date.available |
2013-10-09T02:32:55Z |
|
| dc.date.issued |
2013-10-09 |
|
| dc.identifier |
http://hdl.handle.net/1721.1/3881 |
|
| dc.identifier.uri |
http://koha.mediu.edu.my:8181/xmlui/handle/1721 |
|
| dc.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. |
|
| dc.description |
Singapore-MIT Alliance (SMA) |
|
| dc.format |
1986710 bytes |
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| dc.format |
application/pdf |
|
| dc.language |
en_US |
|
| dc.relation |
High Performance Computation for Engineered Systems (HPCES); |
|
| dc.subject |
J-integral |
|
| dc.subject |
fracture mechanics |
|
| dc.subject |
linear elasticity |
|
| dc.title |
Computing Upper and Lower Bounds for the J-Integral in Two-Dimensional Linear Elasticity |
|
| dc.type |
Article |
|