Stress intensity factors for penny and half-penny shaped cracks subjected to a stress gradient

✍ Scribed by R. J. Hand

• Publisher: Springer Netherlands
• Year: 1992
• Tongue: English
• Weight: 416 KB
• Volume: 57
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00035075

✦ Synopsis

Stress intensity factors at any point on the crack front of penny and half-penny shaped cracks subjected to stress gradients are presented. The SIF's which are exact far a penny shaped crack are based on the well known solution for a point load acting normally to such a crack. The line load solution which is derived from this is different in form to those given by previous workers and is more readily integrated to give SIF's for stress gradient loading. This is demonstrated by the derivation of a general equation for the SIF at any point on a penny-shaped crack due to polynomial stress gradients. These results are extended to produce a similarly general, albeit approximate, equation for the SIF at any point on the circumference of a half-penny crack due to polynomial loading. The usefulness of the approach developed here is further indicated by the derivation of an approximate SIF for exponential stress gradients over a half-penny crack.