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V. V. Struzhanov, A. E. Chaikin

FRACTURE OF A THIN-WALLED SPHERICAL VESSEL AFFECTED BY INTERNAL PRESSURE

DOI: 10.17804/2410-9908.2023.1.017-023

A problem on the fracture of a thin-walled spherical vessel affected by increasing internal pressure is formulated. The material properties both in the stage of hardening and in the stage of softening (prefracture) are described. The mathematics of the catastrophe theory is used to write down the equilibrium equations and to find the critical value of pressure, at which the vessel fails.

Acknowledgments: The work was performed according to the state assignment, theme no. AAAA-A18-118020790145-0.

Keywords: thin coatings, equilibrium state curves, loss of stability, fracture, Lame problem

References:

  1. Vil'deman V. E., Chausov N. G. Conditions of strain softening upon stretching of the specimen of special configuration, Zavodskaia laboratoriia. Diagnostika materialov, 2007, vol. 73, no. 10, pp. 55-59 (In Russian). 
  2. Ipatova A.V., Vil'deman V.E. Construction of material functions of aluminum alloy D16T inelastic deformation based on the results of tests of tension and torsion. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, iss. 4 (29), pp. 106–114. DOI: 10.14498/vsgtu1106. (In Russian). 
  3. Vil'deman V.E., Tretyakov M.P. Tests of Materials with Construction of Complete Deformations Curves. Journal of Machinery Manufacture and Reliability, 2013, vol. 42, pp. 160–170. DOI: 10.3103/S1052618813010159.
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  5. Arsenin V.Ya. Metody matematicheskoy fiziki i spetsialnye funktsii [Methods of mathematical physics and special functions]. Moscow, Nauka Publ., 1974, 286 p. (In Russian).
  6. Struzhanov V.V. and Mironov V.N. Deformatsionnoe razuprochnenie materiala v elementakh konstrutsiy [Deformational Softening of Material in Structural Elements]. Ekaterinburg, UrO RAN Publ., 1995. (In Russian).
  7. Struzhanov V.V., Korkin A.V. Regarding stretching process stability of one bar system with softening elements. Vestnik Uralskogo Gosudarstvennogo Universiteta Putei Soobshcheniia, 2016, No. 3 (31), pp. 4–17. DOI: 10.20291/2079-0392-2016-3-4-17. (In Russian).
  8. Struzhanov V.V., Korkin A.V. A variant of the method of elastic solutions in the task on definition of balance of the stretched rod system with softening elements. Herald of the Ural State University of Railway Transport (Scientific journal), 2018, No. 1 (37), pp.11–19. DOI: 10.20291/2079-0392-2018-1-11-20. (In Russian).
  9. Struzhanov V.М., Korkin A.V., Chaykin A.E. One approach to determination of the ultimate load-bearing capacity of mechanical systems with softening elements. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2018, vol. 22, No. 4, pp. 762–773. DOI: 10.14498/vsgtu1624. (In Russian). p.
  10. Struzhanov V.V. The determination of the deformation diagram of a material with a falling branch using the torsion diagram of a cylindrical sample. Sib. Zh. Ind. Mat., 2012, vol. 15, No. 1, pp. 138–144. (In Russian).
  11. Poston T., Stewart I. Catastrophe Theory and Its Application, London Pitman Publ., 1978, 191 p.


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Article reference

Struzhanov V. V., Chaikin A. E. Fracture of a Thin-Walled Spherical Vessel Affected by Internal Pressure // Diagnostics, Resource and Mechanics of materials and structures. - 2023. - Iss. 1. - P. 17-23. -
DOI: 10.17804/2410-9908.2023.1.017-023. -
URL: http://eng.dream-journal.org/issues/2023-1/2023-1_386.html
(accessed: 05/22/2024).

 

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