A variational technique for boundary element analysis of 3D fracture mechanics weight functions: static

✍ Scribed by P. H. Wen; M. H. Aliabadi; D. P. Rooke

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 175 KB
• Volume: 42
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19980830)42:8<1409::aid-nme426>3.0.co;2-z

✦ Synopsis

The dual boundary element method coupled with the weight function technique is developed for the analysis of three-dimensional elastostatic fracture mechanics mixed-mode problems. The weight functions used to calculate the stress intensity factors are deÿned by the derivatives of traction and displacement for a reference problem. A knowledge of the weight functions allows the stress intensity factors for any loading on the boundary to be calculated by means of a simple boundary integration without singularities. Values of mixedmode stress intensity factors are presented for an edge crack in a rectangular bar and a slant circular crack embedded in a cylindrical bar, for both uniform tensile and pure bending loads applied to the ends of the bars. ?