In-Plane Bending Fracture of a Large Beam Containing a Circular-Arc Crack

Y. C. Shiah ； Jiunn Fang ； Chin-Yi Wei ； Y. C. Liang

《The Chinese Journal of Mechanics》 18卷3期 (2002/09) Pp. 145-151

並列摘要

In this paper, the crack problem of a large beam-like strip weakened by a circular arc crack with in-plane bending moments applied at both ends, is approximately solved using the complex variable technique. Complex stress functions corresponding to the applied bending moments are superposed with those due to the disturbance of the crack to satisfy the governing boundary equation. The conformal mapping function devised to transform the contour surface of a circular arc crack to a unit circle is then substituted in the boundary equation to facilitate the evaluation of Cauehy integrals. In this way, the complex stress functions due to the crack disturbance are determined and the stress intensity factors are calculated through a limiting process to give their explicit forms. Eventually, the geometric functions for the variation of the stress intensity factors on account of the crack shape are plotted as a function of the curvature of a circular-arc crack.

並列關鍵字

Circular-arc crack ； bending ； Beam ； Mapping function ； Stress intensity factors