Title: Stress intensity factors of rectangular circumferential surface cracks on the inside of a pipe under arbitrary loading

Authors: C. Mattheck, S. Burkhardt, B. Kneifel

Addresses: Institut fur Festkorper- und Materialforschung IV, Kernforschungszentrum Karlsruhe, West Germany. ' Institut fur Festkorper- und Materialforschung IV, Kernforschungszentrum Karlsruhe, West Germany. ' Institut fur Festkorper- und Materialforschung IV, Kernforschungszentrum Karlsruhe, West Germany

Abstract: Circumferentially directed surface cracks on the inside of pipes play an important role in nearly all pipe systems loaded by internal pressure, by thermal loads or seismically. This paper presents an approximate weight function solution to calculate the stress intensity factors at the deepest point and at the surface points of such cracks under arbitrary loading. The stress intensity factors for the standard loading cases of pure axial tension and linear varying stress against the pipe wall are given as a function of crack depth and crack length. A comparison with the solution for the semi-elliptical surface crack in a plate is shown. The results are valid for (thickness/inner pipe radius) = 0.1.

Keywords: crack depth; crack length; arbitrary loading; pipes; stress intensity factors; surface cracks; approximate weight function; pure axial tension; linear varying stress.

DOI: 10.1504/IJMPT.1988.036714

International Journal of Materials and Product Technology, 1988 Vol.3 No.3/4, pp.339 - 348

Published online: 06 Nov 2010 *

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