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Evaluating the Static Cracking Resistance of Thin-Walled Pressure Vessels

  • MECHANICS OF MATERIALS: STRENGTH, DURABILITY, SAFETY
  • Published:
Inorganic Materials Aims and scope

Abstract—

The failure criteria and limit states for thin-walled pressure vessels are analyzed taking into account the influence of plastic deformations. The introduction describes the main problems in operation of thin-walled vessels working under internal excess pressure associated with technological defectiveness and reduction of the residual life. Typical technological and operational defects in welded joints of vessels and statistical data on their number and types are presented. The share of welding defects is 62% of the total number of defects, and the share of remaining types of defects is significantly less. Histograms of the dimensions of welding defects are drawn, and the distribution laws are determined: the length of undercuts is described by a lognormal distribution law, whereas the depth of undercuts is described by a normal distribution law. Further, the limiting states and fracture criteria of vessels with defects and cracks under the conditions of elastoplastic deformation of material are indicated. The advantages of using the generalized equations of the form of J-curves are shown for calculation of the cracking resistance. A formula is given for calculating the J-curves that associate the dimensionless J-integral with the dimensionless load. The stress-strain state of a thin-walled vessel with a surface half-elliptical crack and an internal elliptical crack is analyzed in a volumetric setting. The peculiarities of the stress and strain fields in the local region of the crack zone under elastoplastic deformation are investigated. For the vessel model with a surface half-elliptical crack and an internal elliptical crack under elastoplastic deformation, the energy criterion of fracture mechanics, the J-integral, is calculated, and the results of calculations are presented. The results are presented in the form of graphs of the dimensionless J-integral versus the geometrical dimensions of the vessel and crack. The equations of J-curves are obtained and the limit load for thin-walled vessels is determined which depends on geometrical dimensions, loading parameters, strength properties of the material, and characteristics of cracking resistance and deformation. From the J-curves and the deformation curve, a formula is derived for determining the dependence of the limit load on the crack size, loading parameters, and characteristics of the material. Using this formula, the dependences of the limiting pressure of the vessel under elastoplastic deformations on the ratio of crack length a to vessel wall thickness S (a/S) is plotted for surface and internal cracks with different ratios R/S (R is the shell radius) and Jc which allow estimating the limiting pressure levels of the safe operation of thin-walled vessels.

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REFERENCES

  1. Khismatullin, E.R., Korolev, E.M., Livshits, V.I., et al., Sosudy i truboprovody vysokogo davleniya: Spravochnik (High-Pressure Vessels and Pipelines: Handbook), Moscow: Mashinostroenie, 1990.

  2. ASME BPV Code, Design, Inspection and Repair of ASME, Section VIII, Division 1: Pressure Vessels, Houston, TX, 1999.

  3. Lashchinskii, A.A. and Tolchinskii, A.R., Osnovy konstruirovaniya i rascheta khimicheskoi apparatury (Fundamentals of Design and Calculation of Chemical Equipment), Leningrad: Mashinostroenie, 1970.

  4. Nichols, R.W., Pressure Vessel Engineering Technology, New York: Elsevier, 1971.

    Google Scholar 

  5. Kurkin, S.A., Prochnost’ svarnykh tonkostennykh sosudov, rabotayushchikh pod davleniem (Strength of Welded Thin-Walled Vessels Operated under Pressure), Moscow: Mashinostroenie, 1976.

  6. Shakhmatov, M.V., Erofeev, V.V., and Kovalenko, V.V., Rabotosposobnost’ i nerazrushayushchii kontrol’ svarnykh soedinenii s defektami (Functionality and Nondestructive Testing of Welded Joints with Defects), Chelyabinsk: Chelyab. Tsentr Nauchno-Tekh. Inf., 2000.

  7. Aniskovich, E.V., Lepihin, A.M., and Moskvichev, V.V., Evaluation of limit states of thin-walled vessels under pressure with technological deficiency, Trudy II Evraziiskogo simpoziuma po problemam prochnosti materialov i mashin dlya regionov kholodnogo klimata (Proc. II Eurasian Symp. on the Problems of Strength of Materials and Machines for Cold Climate Regions), Yakutsk: Sib. Otd., Ross. Akad. Nauk, 2004, part 1, pp. 126–143.

  8. Aniskovich, E.V., Lepihin, A.M., and Moskvichev, V.V., Evaluation of the effect of crack-like defects on strength of thin-walled vessels, Trudy nauchnoi konferentsii “Sovremennye metody matematicheskogo modelirovaniya prirodnykh i antropogennykh katastrof. Problemy zashchity naseleniya i territorii ot chrezvychainykh situatsii prirodnogo i tekhnogennogo kharaktera” (Proc. Sci. Conf. “Modern Mathematical Modeling of Natural and Anthropogenic Disasters. Protection of People and Territories from Emergent Natural and Technogenic Situations”), Krasnoyarsk: Inst. Vychisl. Model., Sib. Otd., Ross. Akad. Nauk, 2003, vol. 3, pp. 5–10.

  9. Karzov, G.P., Leonov, V.P., and Timofeev, B.T., Svarnye sosudy vysokogo davleniya: Prochnost’ i dolgovechnost’ (Welded High-Pressure Vessels: Strength and Service Life), Leningrad: Mashinostroenie, 1982.

  10. Karzov, G.P., Timofeev, B.T., Leonov, V.P., et al., Voprosy normirovaniya tekhnologicheskikh defektov svarnykh soedinenii sosudov vysokogo davleniya (Standardization of Technological Defects of Welded Joints of High-Pressure Vessels), Leningrad: Leningr. Dom Nauchno-Tekh. Propagandy, 1974.

  11. GOST (State Standard) 14249-89: Vessels and apparatus, Norms and Methods of Strength Calculation, Moscow: Izd. Standartov, 1989.

  12. PNAE (Rules and Norms of Nucler Power Industry) G-7-002-86: Norms for Strength Calculation of Qquipment and Pipelines of Nuclear Power Installations), Moscow: Energoatomizdat, 1989.

  13. Chell, G.G., Post-yield fracture mechanics theory and its application to pressure vessels, Int. J. Pressure Vessels Piping, 1977, vol. 5, no. 2, pp. 123–147.

    Article  Google Scholar 

  14. Moskvichev, V.V., Makhutov, N.A., Chernyaev, A.P., et al., Treshchinostoikost’ i mekhanicheskie svoistva konstruktsionnykh materialov tekhnicheskikh sistem (Fracture Resistance and Mechanical Properties of Constructional Materials for Engineering Systems), Novosibirsk: Nauka, 2002.

  15. Makhutov, N.A., Burak, M.I., Kaidalov, V.B., Larionov, V.V., and Tishkevich, V.M., Investigation and analysis of depressurization of vessels operating under cyclic internal liquid pressure, Strength Mater., 1990, vol. 22, no. 9, pp. 1267–1273.

    Article  Google Scholar 

  16. Makhutov, N.A., Zainulin, R.S., and Gumerov, K.M., Strength of pressure vessels with cracked defects, in Resurs i prochnost’ oborudovaniya neftepererabatyvayushchikh zavodov (Service Life and Strength of Equipment for Oil Refining Plants), Ufa: Ufim. Neft. Inst., 1989, pp. 40–52.

  17. Moskvichev, V.V., Osnovy konstruktsionnoi prochnosti tekhnicheksikh sistem i inzhenernykh sooruzhenii (Fundamentals of Construction Strength of Technical Systems and Engineering Installations), Novosibirsk: Nauka, 2002, part 1.

  18. Makhutov, N.A., Moskvichev, V.V., Kozlov, A.G., and Sukhorukov, S.V., Calculation of the crack resistance of plane structural elements using the J-integral. Report no. 2. Allowance for stress concentration, Strength Mater., 1988, vol. 20, no. 8, pp. 984–992.

    Article  Google Scholar 

  19. Morozov, E.M. and Nikishkov, G.P., Metod konechnykh elementov v mekhanike razrusheniya (Finite Element Methods in Fracture Mechanics), Moscow: Nauka, 1980.

  20. Pluvinage, G., Mécanique Élastoplastique de la Rupture: Critères d’Amorçage, Toulouse: Cepadues, 1989.

    Google Scholar 

  21. Rice, J.R., The line spring model for surface flaws, in The Surface Crack: Physical Problems and Computational Solutions, Sweldow, J.L., Ed., New York: Am. Soc. Mech. Eng., 1972, pp. 171–186.

    Google Scholar 

  22. Rice, J.R., Paris, P.C., and Merkle, J.R., STP536: some further results of J-integral analysis and estimates, in Progress in Flaw Growth and Fracture Toughness Testing, Kaufman, J., Swedlow, J., Corten, H., Srawley, J., Heyer, R., Wessel, E., and Irwin, G., Eds., West Conshohocken, PA: ASTM Int., 1973, pp. 231–245.

    Google Scholar 

  23. Hill, R., The Mathematical Theory of Plasticity, Oxford: Oxford Univ. Press, 1998.

    Google Scholar 

  24. Malinin, N.N., Prikladnaya teoriya plastichnosti i poluzchesti (Applied Theory of Plasticity and Creep), Moscow: Mashinostroenie, 1968.

  25. Kim, Y.-J., Kim, J.-S., Park, Y.-J., and Kim, Y.-J., Elastic-plastic fracture mechanics method for finite internal axial surface cracks in cylinders, Eng. Fracture Mech., 2004, vol. 71, nos. 7–8, pp. 925–944.

    Article  Google Scholar 

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Authors and Affiliations

  1. Special Design and Technology Bureau Nauka, Krasnoyarsk Branch of Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, 660049, Krasnoyarsk, Russia

    E. V. Aniskovich, A. M. Lepihin & V. V. Moskvichev

  2. Siberian Federal University, 660041, Krasnoyarsk, Russia

    E. V. Aniskovich & V. V. Moskvichev

Authors
  1. E. V. Aniskovich
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  2. A. M. Lepihin
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  3. V. V. Moskvichev
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Correspondence to E. V. Aniskovich.

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Translated by E. Oborin

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Aniskovich, E.V., Lepihin, A.M. & Moskvichev, V.V. Evaluating the Static Cracking Resistance of Thin-Walled Pressure Vessels. Inorg Mater 55, 1503–1510 (2019). https://doi.org/10.1134/S0020168519150020

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