2007
DOI: 10.1007/s11223-007-0051-z
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Application of the Cheng-Finnie method to the calculation of stress intensity factors in thin-walled pipes with long axial cracks with allowance for geometric nonlinearity

Abstract: To calculate stress intensity factors in elastic pipes with long flaws, the known Cheng-Finnie method is used. A universal description of the mode of behavior of beam is proposed, for which equations of the method of initial parameters with allowance for geometric nonlinearity (effect of axial force on lateral deformation) have been derived and are employed. This allowed us to determine, apparently for the first time, the values of stress intensity factors in thin-walled pipe in a geometrically nonlinear formu… Show more

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Cited by 4 publications
(2 citation statements)
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“…Oryniak et al [12] proposed a model for assessing dent-crack defects based on the stress distribution in a dent with an axial crack lodged at its deepest point by treating the dent as a source of geometric nonlinearity. Bending stresses through the crack caused by the geometric nonlinearity were added to the stresses caused by the internal pressure and the sum used to calculate the stress intensity factor used to analyze crack propagation.…”
Section: Introductionmentioning
confidence: 99%
“…Oryniak et al [12] proposed a model for assessing dent-crack defects based on the stress distribution in a dent with an axial crack lodged at its deepest point by treating the dent as a source of geometric nonlinearity. Bending stresses through the crack caused by the geometric nonlinearity were added to the stresses caused by the internal pressure and the sum used to calculate the stress intensity factor used to analyze crack propagation.…”
Section: Introductionmentioning
confidence: 99%
“…These solutions are used for thick-walled pipes. The approaches based on the lumped compliance method allow known SIF values to be used for a strip with edge crack in the analysis of other configurations of cracked bodies [15][16][17][18][19]. For instance, analytical solutions have been obtained for pipes with axial cracks (including multiple ones) and circumferential cracks and for pipe bend with axial cracks; this made it possible to study analytically for the first time the effect of bend geometry on the SIF value and to show their difference from the solutions for a straight pipe.…”
mentioning
confidence: 99%