Rigid body rotation surrounding the mode II crack

✍ Scribed by A. Bhattacharya

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 530 KB
• Volume: 33
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(89)90109-4

✦ Synopsis

Using

Westergaard function in conventional and also in modified form the rigid body rotation at the crack tip and near the crack edges of mode II cracks are obtained. An attempt is made to explain the deformed configuration of a mode II crack. The rotation at the end of the plastic shear strip ahead of the crack tip is shown to be independent of the stress intensity factor. The rotation field in the vicinity of a crack tip under combined mode I and mode II conditions is obtained. NOMENCLATURE a polar coordinate Poisson's ratio longitudinal stress shear stress yield stress in shear a stress function rotation at the end of shear strip rigid body rotation on x-y plane elasticity modulus mode I stress intensity factor mode II stress intensity factor Cartesian coordinates attached to the deformed crack complex functions the semi-crack-length a polar coordinate the displacement along x direction length of plastic shear strip the displacement along y direction Cartesian coordinates attached to the unloaded crack