Elastic cracks and screw dislocation pile-ups crossing a bimaterial interface

✍ Scribed by Tsu-Wei Chou; Alan S. Tetelman

• Publisher: Springer Netherlands
• Year: 1971
• Tongue: English
• Weight: 396 KB
• Volume: 7
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00184308

✦ Synopsis

The concept of continuously distributed dislocations is employed to study the behavior of anti-plane shear cracks crossing a bimaterial interface. The governing equations of the dislocation distribution function are dual singular integral equations. It is noticed that cIose to the tip, the crack opening displacement behaves as if the crack were imbedded in a homogeneous medium. (_ onsequemly, the stress in the immediate vicinity of the crack tip varies with the inverse square root of the distance from the tip. Moreover, the stress intensity near the crack tip in the comparatively harder phase is higher than that in the softer phase. The present method of analysis can be applied to the study of screw dislocation pile-ups crossing a phase boundary.