Abstract
Circular-fronted cracks in round bars subject to tension, bending and twisting are considered. Numerical expressions are given allowing the calculation of stress intensity factors $K_I$, $K_{II}$, $K_{III}$ at every point on the crack front for a wide range of crack geometries. Comparisons are made with analytical, experimental and numerical results available in the literature. Crack shapes satisfying the iso-$K_I$ criterion are also determined, making it possible to investigate the problem of crack growth behaviour under tensile or bending fatigue loads.
Highlights
As cylindrical specimens are machined, components with a round cross section are commonly used in engineering structures
In order to predict the growth of such a crack and the strength of the cracked component, an accurate stress analysis is required. This leads us to precisely calculate the stress intensity factors which govern the mechanical state in the structure
Use is made of a boundary integral equation developed for fracture problems [22] to determine the stress intensity factors K 1, K11, K 111 for circular-fronted cracks in a round bar subjected to tension, bending and torsion
Summary
As cylindrical specimens are machined, components with a round cross section are commonly used in engineering structures. Experimental works [1,2,3,4,5] showed that surface cracks created by fatigue have approximately circular fronts. Several works have been devoted to the problem of a surface crack in a round bar. Use is made of a boundary integral equation developed for fracture problems [22] to determine the stress intensity factors K 1, K11, K 111 for circular-fronted cracks in a round bar subjected to tension, bending and torsion. Crack shapes satisfying the iso-K1 criterion are computed, and the problem of crack growth behaviour under tensile or bending fatigue loads is discussed. Reference Bush (t976) [6] Daoud et al (1978) [7] Astiz et al (1981) [8] Salah el din et al. Actual shape :::-:: circular fronted crack + 90u intersecting angle Actual shape :::-:: semielliptical crack
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