An integral associated with the state of a crack tip in a non-elastic material

✍ Scribed by W. S. Blackburn; A. D. Jackson; T. K. Hellen

• Publisher: Springer Netherlands
• Year: 1977
• Tongue: English
• Weight: 897 KB
• Volume: 13
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00042559

✦ Synopsis

An integral has been proposed for a non-elastic material whose value is determined by the magnitude of the singularities at the tip of a crack but which may be evaluated mainly far away from the crack, where the state of deformation may be determined numerically with higher accuracy than near the crack. The integral is intended for situations when plasticity is too great for linear elastic fracture mechanics to be appropriate, but may be related to the stress intensity factors in the linear elastic case. Its value has been calculated for a central or edge crack in a uniformly loaded and unloaded plate with a non-work-hardening elastic plastic material when the loading is either tension or longitudinal shear. It has also been calculated for a non-work-hardening material for a central sloping crack under tension and for a central crack under a quadratic temperature gradient for which previously suggested contour integrals are no longer path independent even in the linear elastic case.