On cracks in rectilinearly anisotropic bodies

✍ Scribed by G. C. Sih; P. C. Paris; G. R. Irwin

• Publisher: Springer Netherlands
• Year: 1965
• Tongue: English
• Weight: 799 KB
• Volume: 1
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00186854

✦ Synopsis

The general equations for crack-tip stress fields in anisotropic bodies are derived making use of a complex variable approach. The stress-intensity-factors, which permit concise representation of the conditions for crack extension, are defined and are evaluated directly from stress functions. Some individual boundary value problem solutions are given in closed form and discussed with reference to their companion solutions for isotropic bodies.

It is found that an elastic stress singularity of the order r -~ is always present at the crack tip in a body with rectilinear anisotropy (r being the radial distance from the crack front). This result and some additional consideration of the crack-tip stress fields imply that it is possible to extend current fracture mechanics methods to the representation of fracture conditions for anisotropic bodies with craektike imperfections.