Mathematical modeling of residual stresses in spiral welded pipe https://doi.org/10.33108/visnyk_tntu2018.02.012

Article Sidebar

Vol. 90 No. 2 (2018)
Download article PDF
Published: 26-06-2018
DOI: https://doi.org/10.33108/visnyk_tntu2018.02.012
Keywords:
pipe, residual stresses, spiral weld joint, Kirchhoff thin shell theory, free deformations

Main Article Content

Lesia Senkiv
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NASU, Lviv, Ukraine
Vasyl Chekurin
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NASU, Lviv, Ukraine
Vasyl Diakiv
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NASU, Lviv, Ukraine

Abstract

Using the Kirchhoff thin shell theory with initial stresses the mathematical model for determination of residual welding stresses in pipes with spiral weld joint was built. The values of welding stresses acting on face surface of pipe for varying helix angle of spiral weld joint in pipeline was calculated.

Article Details

Issue

Vol. 90 No. 2 (2018)

Section

Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

References

1. Osadchuk V.A., Yu.V.Banakhevych, Ivanchuk O.O. Vyznachennia napruzhenoho stanu mahistralnykh truboprovodiv v zoni kiltsevykh zvarnykh shviv. Fiz.-khim. Mekhanika materialiv. 2006, no. 2. Pp. 99 – 104 [In Ukrainian].

2. Kyrian V.I., Osadchuk V.A., Nykolyshyn M.M. Mekhanika ruinuvannia zvarnykh ziednan metalokonstruktsii. Lviv, SPOLOM, 2007, 320 p. [In Ukrainian].

3. M. Nykolyshyn, L. Senkiv, O. Ukhanska Matematychna model vyznachennia neosesymetrychnykh zalyshkovykh napruzhen v mahistralnykh truboprovodakh bilia montazhnykh zvarnykh shviv, ,Mashynoznavstvo. 2013, no. 11 – 12. Pp.22, 26 [In Ukrainian].

4. Chekurin V.F., Prokopovich I.B., Senkiv L.M. Application of methods of crack theory to modeling residual stress concentarators in welds in shells, Shell Structures: Theory and Applications. London: Taylor & Francis Group, 2005. Pp.535, 537.

5. Chekurin V.F., Postolaki L.I. Theoretical-experimental determination of residual stresses in plane joints, Material Science, 2009, vol. 45, no. 2. Pp. 318 – 328.

https://doi.org/10.1007/s11003-009-9181-8

6. Chekurin V. Postolaki L. Zadacha neruinivnoho vyznachennia zalyshkovykh napruzhen u truboprovodi za danymy mahnitopruzhnykh vymiriuvan. Fizyko-matematychne modeliuvannia i informatsiini tekhnolohii. 2014, no. 20. Pp. 218 – 228 [In Ukrainian].

7. Senkiv L. Vyznachennia napruzhenoho stanu u zoni zvarnoho spiralnoho shva u mahistralnomu truboprovodi. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii. 2015, no. 21, pp. 213, 220 [In Ukrainian].

8. Prokopovych Y.B., Senkyv L.M., Laushnyk Y.P. Upruhoe ravnovesye nepolohykh tsylyndrycheskykh obolchek s razrezamy. Prykladnыe problemы prochnosty y plastychnosty. 1996, vol. 54. Pp. 175 – 184 [In Ukrainian].

9. Osadchuk V.A. Diahnostuvannia zalyshkovykh tekhnolohichnykh napruzhen v elementakh konstruktsii rozrakhunkovo-eksperymentalnym metodom. Mat. metody ta fiz.-mekh. polia. 2003, vol. 46, no. 1. Pp. 88 – 104 [In Ukrainian].

10. Podstryhach Ya.S., Osadchuk V.A., Marholyn A.M. Ostatochnыe napriazhenyia, dlytelnaia prochnost y nadezhnost steklokonstruktsyi. Kiev. Nauk. Dumka, 1991. 256 p. [In Russian].

11. Kalandyia A.Y. Matematycheskye metodы dvukhmernoi teoryy upruhosty. Moskva. Nauka. 1973. 304 p. [In Russian].