Buckling of an anisotropic round billet subject to external overpressure

Circular conical shells used in jet engines, aircraft, tanks, etc. are formed by swaging round billets in conical dies. Buckling problems for conical shells are much more challenging than those for rectangular plates and cylindrical shells because the structure of governing equations is more complicated. In this paper, the buckling failure of a conical shell is analyzed using the energy method. The round billet material is considered to be cylindrically anisotropic. A criterion for buckling (corrugation) of an anisotropic tube under external overpressure is developed. The influence of the technological parameters and anisotropic mechanical properties of the billet material on the stability of swaging round billets is established. The obtained results show that anisotropy in mechanical properties of the original round billet should be taken into account.

References

[1] Averkiev Iu.A., Averkiev A.Iu. Tekhnologiia kholodnoi shtampovki [Cold stamping technology]. Moscow, Mashinostroenie publ., 1989. 304 p.

[2] Popov E.A., Kovalev V.G., Shubin I.N. Tekhnologiia i avtomatiza-tsiia listovoi shtampovki [Technology and automation stamping]. Moscow, Bauman Press, 2000. 480 p.

[3] Kovka i shtampovka: Spravochnik: V 4 t. T. 4 Listovaia shtampovka [Forging and Stamping: Reference: In 4 vol. Vol. 4. Stamping]. Ed. Iakovlev S.S. Moscow, Mashinostroenie publ., 2010. 732 p.

[4] Romanovskii V.P. Spravochnik po kholodnoi shtampovke [Handbook of cold forming]. Leningrad, Mashinostroenie publ., 1979. 520 p.

[5] Shofman L.A. Teoriia i raschety protsessov kholodnoi shtampovki [Theory and calculations cold forming processes]. Moscow, Mashinostroenie publ., 1964. 365 p.

[6] Iakovlev S.P., Kukhar’ V.D. Shtampovka anizotropnykh zagotovok [Stamping blanks anisotropic]. Moscow, Mashinostroenie publ., 1986. 136 p.

[7] Adamesku R.A., Gel’d P.V., Mitiushkov E.A. Anizotropiia fizicheskikh svoistv metallov [Anisotropy of physical properties of metals]. Moscow, Metallurgiia publ., 1985. 136 p.

[8] Mikliaev P.G., Fridman Ia.B. Anizotropiia mekhanicheskikh svoistv metallov [Anisotropy of mechanical properties of metals]. Moscow, Metallurgiia publ., 1986. 224 p.

[9] Grechnikov F.V. Deformirovanie anizotropnykh materialov [Deformation of anisotropic materials]. Moscow, Mashinostroenie publ., 1998. 446 p.

[10] Iakovlev S.P., Iakovlev S.S., Andreichenko V.A. Obrabotka davleniem anizotropnykh materialov [Forming anisotropic materials]. Kishinev, Kvant publ., 1997. 331 p.

[11] Iakovlev S.S., Kukhar’ V.D., Tregubov V.I. Teoriia i tekhnologiia shtampovki anizotropnykh materialov [Theory and technology of forming anisotropic materials]. Moscow, Mashinostroenie publ., 2012. 400 p.

[12] Vol’mir A.S. Ustoichivost’ deformiruemykh system [Stability of Deformable Systems]. Moscow, Nauka publ., 1967. 984 p.

[13] Golovlev V.D. Raschety protsessov listovoi shtampovki [Calculations stamping processes]. Moscow, Mashinostroenie publ., 1974. 136 p.

[14] Moshnin E.N. Tekhnologiia shtampovki krupnogabaritnykh detalei [Metal Stamping large parts]. Moscow, Mashinostroenie publ., 1973. 238 p.