Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

Application of Two-Parameter Fracture Mechanics for Analyzing the Crack Resistance of Pipeline Systems

Published: 26.10.2026

Authors: Pokrovskiy A.M., Zakharov P.M., Kazantsev A.I.

Published in issue: #10(178)/2026

DOI:

Category: Mechanics | Chapter: Mechanics of Deformable Solid Body

For a pipe model with a longitudinal crack and a biaxially stretched plate with a crack, a comparison of the results of numerical calculation in the ANSYS finite element software package of the main parameters of two-parameter linear fracture mechanics, namely the stress intensity factor and the non-singular Txx and Tzz stresses entering the Williams asymptotic stress distribution in the vicinity of the crack front in a three-dimensional body, is carried out. It is shown that for analyzing the crack resistance of a gas pipeline, a plate computational model can be used without loss of accuracy. At the same time, the number of finite elements is reduced by more than a factor of 3 compared to the pipe model. An assessment of the crack resistance of a linear section of a main gas pipeline with a longitudinal surface semi-elliptical crack at a distance from the transverse weld is carried out. It is established that the one-parameter Irwin force fracture criterion yields underestimated results compared to the more accurate two-parameter fracture criterion, which takes into account the biaxial constraint of deformations along the crack front. It is shown that as the ratio of the semi-length of the semi-elliptical longitudinal surface crack in the gas pipeline to its depth increases, the critical crack depth decreases.

EDN  WKOWAY


References
[1] Muratkin F.A. Klassifikatsiya metodov resheniya zadach obespecheniya prochnosti i ustoychivosti podvodnykh perekhodov magistralnykh gazoprovodov [Classification of Methods for Solving Problems of Ensuring Strength and Stability of Underwater Crossings of Main Gas Pipelines]. In: Problemy funktsionirovaniya sistem transporta: Materialy Mezhdunarodnoy nauchno-prakticheskoy konferentsii studentov, aspirantov i molodykh uchenykh: v 2 tomakh [Problems of Functioning of Transport Systems: Proceedings of the International Scientific and Practical Conference of Students, Postgraduates and Young Scientists: in 2 volumes]. Tyumen, TIU Publ., 2015, vol. 1, pp. 76–80.
[2] Kulkov E.P., Krasyukova S.N., Vatutin A.A. Raschet nadzemnykh gazoprovodov na prochnost pri provedenii ekspertizy promyshlennoy bezopasnosti [Calculation of above-ground gas pipelines for strength during industrial safety expertise]. Simvol nauki: mezhdunarodnyy nauchnyy zhurnal — Symbol of Science: International Scientific Journal, 2015, no. 9-1, pp. 83–85.
[3] Sidorov M.M., Golikov N.I., Tikhonov R.P. Opredelenie napryazhenno-deformirovannogo sostoyaniya magistralnykh gazoprovodov, prolozhennykh v zone vechnoy merzloty [Evaluation of the stressed deformed state of main gas pipelines running in permanently frozen grounds]. Kontrol. Diagnostika — Testing. Diagnostics, 2020, vol. 23, no. 12 (270), pp. 58–63.
[4] Zaytsev A.I., Rodionova I.G., Baklanova O.N., Vaynshteyn D.L., Rashkovskiy A.Yu., Udod K.A., Esiev T.S., Ryakhovskikh I.V. Issledovanie prichin i mekhanizmov korrozionno-mekhanicheskogo razrusheniya staley magistralnykh gazoprovodov [Investigation of the causes and mechanisms of corrosion-mechanical fracture of main gas pipeline steels]. Problemy chernoy metallurgii i materialovedeniya — Problems of Ferrous Metallurgy and Materials Science, 2013, no. 3, pp. 65–74.
[5] Makarov G.I., Kapustin O.E., Fomin R.S. Eksperimentalnaya otsenka treschinostoykosti svarnykh trub magistralnykh gazoprovodov [Experimental assessment of crack resistance of welded pipes of main gas pipelines]. In: Tezisy XII otraslevogo soveshchaniya «Sostoyanie i osnovnye napravleniya razvitiya svarochnogo proizvodstva PAO Gazprom» [Abstracts of the XII Industry Meeting “State and Main Directions of Development of Welding Production of PJSC Gazprom”]. Moscow, 2024, p. 35.
[6] Veselukha V.M., Bogdanovich A.V. Diagramma uprugoplasticheskogo razrusheniya i kharakteristiki treshchinostoykosti pri staticheskom nagruzhenii trubnoy stali v svyazi s ekspluatatsionnoy narabotkoy [Diagram of elastoplastic fracture and crack resistance characteristics under static loading of pipe steel in connection with operational service life]. Aktualnye voprosy mashinovedeniya — Current Issues of Machine Science, 2015, vol. 4, pp. 219–222.
[7] Grin E.A., Sarkisyan V.A. Korrozionnaya treshchinostoykost stali magistralnykh gazoprovodov KhV70 [Corrosion crack resistance of steel of main gas pipelines KhV70]. Problemy chernoy metallurgii i materialovedeniya — Problems of Ferrous Metallurgy and Materials Science, 2010, no. 4, pp. 75–80.
[8] Makhutov N.A., Pokrovsky A.M., Dubovitsky E.I. Analiz treshchinostoykosti magistralnogo nefteprovoda s uchetom izmenyayushcheysya vyazkosti razrusheniya v okrestnosti svarnogo shva [Analysis of crack resistance of a main oil pipeline taking into account the changing fracture toughness in the vicinity of a weld]. Problemy mashinostroeniya i nadezhnosti mashin — Problems of Mechanical Engineering and Machine Reliability, 2019, no. 1, pp. 44–52.
[9] Konischev B.P., Rodionov A.A., Mitin A.S. Otsenka treshchinostoykosti trub magistralnykh gazoprovodov [Gas pipeline pipes crack resistance assessment]. Trudy NGTU im. N.E. Alekseeva — Transactions of NSTU named after R.E. Alekseev, 2010, no. 2(81), pp. 77–86.
[10] Makarov G.I. Trebovaniya k vyazkosti razrusheniya metalla trub magistralnykh gazoprovodov, garantiruyushchie otsutstvie protyazhennykh bezostanovochnykh razrusheniy [Requirements to fracture toughness of pipe metal of main gas pipelines guaranteeing absence of extended non-stop failures]. Truboprovodnyy transport: teoriya i praktika — Pipeline Transport: Theory and Practice, 2013, no. 5 (39), pp. 12–16.
[11] Komla J.P.A., Pluvinage G., Capelle Ju. Probability of failure of a pipe exposed to seismic displacement and internal pressure. Industrial Laboratory. Materials Diagnostics, 2023, vol. 89, no. 3, pp. 70–79.
[12] Matvienko Yu.G. Dvukhparametricheskaya mekhanika razrusheniya [Two-parameter fracture mechanics]. Moscow, Fizmatlit Publ., 2020, 208 p.
[13] Mushankova K.A., Stepanova L.V. Molecular dynamics calculation of asymptotic series coefficients for stress Fields. Journal of Applied Mechanics and Technical Physics, 2025, vol. 66, no. 2, pp. 350–364.
[14] Fomchenkova M.A., Stepanova L.V. Protsedura pereopredelennogo metoda nakhozhdeniya koeffitsientov razlozheniya poley u vershiny treshchiny, osnovannaya na konechno-elementnom reshenii dlya komponent tenzora napryazheniy [Procedure of the overdeterministic method for findingthe field expansion coefficients at the crack tip basedon a finite element solution for the stress tensorcomponents]. Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya — Vestnik of Samara University. Natural Science Series, 2024, vol. 30, no. 2, pp. 54–66.
[15] Matvienko Yu.G., Pokrovskii A.M. Two-dimensional crack path prediction for mixed mode I/II loading conditions. Engineering Fracture Mechanics, 2025, vol. 323, art. no. 111218. DOI: 10.1016/j.engfracmech.2025.111218.
[16] Nakamura T., Parks D.M. Determination of elastic T-stress along three-dimensional crack front an interaction integral. Int. J. Solid Struct., 1992, vol. 29, pp. 1597–1611.