Strain-energy release rate for a single-edge-cracked circular bar in tension

Abstract

The strain-energy release rate is determined for an edge crack in a uniformly stressed bar o f circular cross-section. Values o f the strain-energy release rate, obtained using a finite-element representation o f the bar and by measuring the compliance of the bar experimentally, are shown to be in close agreement. For crack depths of less than one-half diameter. the strain-energy release rates are found to be lower than existing results on rectangular bars having the same relative crack length. / Crack P A a =t t i t t 7

Stress intensity factors for an edge cracked circular bar in tension and bending

“…The results obtained for the dimensionless stress intensity factor /q K* -crx/-~ (2) in a the case of a straight-fronted crack in a bar subjected to a tensile stress a are given in Table 1 values deduced from compliance measurements [3] for the strain energy release rate; + , average values deduced from 2D finite element results [3] for the strain energy release rate; A, 3D finite element results [8]. reported in [7].…”

“…Strain energy release rates for a straight-fronted edge crack in a circular bar have been obtained for tension [3] and pure bending [4] using a plane stress finite element model. Element thicknesses were adjusted to follow the circular contour of the cross-section as a series of steps.…”

Part-circular surface cracks in round bars under tension, bending and twisting

“…By the compliance method Daoud et al [7] give the average normalized K~ for straight-fronted crack cr~ 4 1- Table 4 gives the normalized KI at the deepest point A by photoelasticity determined by Astiz et al [8]. In fact, the value 1.85 corresponding to a/D = 0.45 in this table will not be retained here as it is unreliable according to [8].…”

“…which provides the average normalized Kj via the following relation /£1 _~( E D 1 dc "~o.5 a~a 4N/f~ l -v 2 4 [a/D-(a/D)2] °'5 d(a/Dj/ " Comparison with experimental results for K~ in tension: ~ : Daoud et al[7]. • : Astiz et al[8].…”

An incompatible singular elastic element for two- and three-dimensional crack problems

“…The results could be used to solve not only linear elastic fracture mechanics problems but stress corrosion, fatigue and corrosion fatigue problems. Because of this interest it is possible to find some recent references on the same I l l l 11111 or similar crack problem [13,[24][25][26][27][28][29]. Some authors use the finite element method [24,25,26], others the boundary integral equation method [13], experimental compliance measurements [25,27], fatigue crack propagation measurement [26], photoelastic stress analysis [29] or other numerical techniques [28].…”