Within the framework of the calculation-experimental method suggested by Pidstryhach and his followers, a athematical model for definition of residual stresses in the zone of circular welded joints of pipes with different thicknesses is developed. We constructed a functional to determine the residual thermoplastic strains on the basis of theoretical relations and experimental data obtained by a nondestructive (semidestructive) methods. Using the two-parametric criterion R6 of fracture mechanics and a failure assessment diagram constructed on its basis, the strength reserve coefficients of a welded joint of the main pipeline with different thicknesses under internal pressure and the presence of a surface crack in the thinner pipe wall are determined. The influence of residual stresses on the strength reserve coefficients is estimated.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 2, pp. 133–146, April–June, 2008.
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Osadchuk, V.A., Porokhovs’kyi, Y.V. & Ivanchuk, O.O. Diagnostics of residual stresses and estimation of their influence on the static strength of welded joints of pipes with different thicknesses with crack-type defects. J Math Sci 162, 161–179 (2009). https://doi.org/10.1007/s10958-009-9628-3
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DOI: https://doi.org/10.1007/s10958-009-9628-3