Deformation of structural elements made of alloys with reduced resistance to creep in shear direction
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 34-41 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Numerical simulations demonstrated that cross-section deplanation occurs during the torsion of circular rods cut in the longitudinal direction of the plate made of an alloy with the reduced resistance to creep in the direction under $45^\circ$ to the normal direction of the plate. In experiments, this is visually confirmed by the appearance of spiral lines on the samples. The results of calculation reveal insignificant influence of the reduced resistance to creep in the transverse shear direction on the process of torsion of the plates. However, the process of torsion is accelerated for ribbed plates with increased thickness and rib height compared to the calculation in isotropic formulation.
Keywords: creep, bending, ribbed plate, transversely isotropic alloy, shear stress.
Mots-clés : rod torsion
@article{UZKU_2015_157_3_a3,
     author = {I. A. Banshchikova and I. Yu. Tsvelodub and D. M. Petrov},
     title = {Deformation of structural elements made of alloys with reduced resistance to creep in shear direction},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {34--41},
     year = {2015},
     volume = {157},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a3/}
}
TY  - JOUR
AU  - I. A. Banshchikova
AU  - I. Yu. Tsvelodub
AU  - D. M. Petrov
TI  - Deformation of structural elements made of alloys with reduced resistance to creep in shear direction
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2015
SP  - 34
EP  - 41
VL  - 157
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a3/
LA  - ru
ID  - UZKU_2015_157_3_a3
ER  - 
%0 Journal Article
%A I. A. Banshchikova
%A I. Yu. Tsvelodub
%A D. M. Petrov
%T Deformation of structural elements made of alloys with reduced resistance to creep in shear direction
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2015
%P 34-41
%V 157
%N 3
%U http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a3/
%G ru
%F UZKU_2015_157_3_a3
I. A. Banshchikova; I. Yu. Tsvelodub; D. M. Petrov. Deformation of structural elements made of alloys with reduced resistance to creep in shear direction. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 3, pp. 34-41. http://geodesic.mathdoc.fr/item/UZKU_2015_157_3_a3/

[1] Altenbach H., “Topical problems and applications of creep theory”, Int. Appl. Mech., 39:6 (2003), 631–655 | DOI | Zbl

[2] Betten J., Creep Mechanics, Springer-Verlag, Berlin–Heidelberg, 2008, 367 pp.

[3] Zolochevskii A. A., Sklepus A. N., Sklepus S. N., Nelineinaya mekhanika deformiruemogo tverdogo tela, Biznes Investor Grupp, Kharkov, 2011, 720 pp.

[4] Tsvelodub I. Yu., Postulat ustoichivosti i ego prilozheniya v teorii polzuchesti metallicheskikh materialov, In-t gidrodinamiki im. M. A. Lavrenteva, Novosibirsk, 1991, 201 pp.

[5] Banschikova I. A., “Raschet plastin dvoinoi krivizny iz anizotropnykh splavov pri polzuchesti”, Vestn. Nizhegor. un-ta im. N. I. Lobachevskogo, 2011, no. 4-4, 1385–1387

[6] Banschikova I. A., “O formoobrazovanii i raschete plastin dvoinoi krivizny pri anizotropnoi polzuchesti”, Mekhanika strukturno-neodnorodnykh sred i konstruktsii, Sb. nauch. tr., Dinamika sploshnoi sredy, 127, eds. B. D. Annin, M. A. Legan, I. V. Lyubashevskaya, In-t gidrodinamiki SO RAN, Novosibirsk, 2012, 15–18

[7] Banschikova I. A., Gorev B. V., “Kruchenie plastin s ponizhennoi soprotivlyaemostyu deformatsiyam polzuchesti v napravlenii tolschiny”, Nasledstvennaya mekhanika deformirovaniya i razrusheniya tverdykh tel – nauchnoe nasledie Yu. N. Rabotnova, Tr. konf., Izd-vo IMASh RAN, M., 2014, 23–28

[8] Gopev B. V., Masanov I. Zh., “Osobennosti deformirovaniya listovykh konstruktsionnykh plit iz alyuminievykh splavov v rezhimakh polzuchesti”, Tekhnologiya mashinostroeniya, 2009, no. 7, 13–20

[9] Sosnin O. V., “Ob anizotropnoi polzuchesti materialov”, Prikl. matem. i tekhn. fizika, 1965, no. 6, 99–104

[10] Banschikova I. A., Sukhorukov I. V., Yuan Byao, “Stesnennoe kruchenie sterzhnei pri polzuchesti”, Vychislitelnye tekhnologii, 9 (2004), 248–253

[11] Banschikova I. A., Sukhorukov I. V., “Dvumernye zadachi krucheniya i izgiba profilei v usloviyakh polzuchesti”, Vychislitelnye tekhnologii, 8 (2003), 104–110

[12] Kachanov L. M., Teoriya polzuchesti, Fizmatgiz, M., 1963, 455 pp.

[13] Lekhnitskii S. G., Kruchenie anizotropnykh i neodnorodnykh sterzhnei, Nauka, M., 1971, 240 pp.

[14] Ivlev D. D., Mironov B. G., “O sootnosheniyakh translyatsionnoi idealnoplasticheskoi anizotropii pri kruchenii”, Vestn. Chuvash. gos. ped. un-ta im. I. Ya. Yakovleva. Ser. Mekhanika predelnogo sostoyaniya, 2010, no. 2(8), 576-579

[15] Larichkin A. Yu., Fizicheskoe i chislennoe modelirovanie deformirovaniya materialov s uchetom bolshikh deformatsii, Dis. $\dots$ kand. fiz.-mat. nauk, Novosibirsk, 2013

[16] Yankovskii A. P., “Steady-state creep of bent reinforced metal-composite plates with consideration of their reduced resistance to transverse shear. 2. Analysis of calculated results”, J. Appl. Mech. Tech. Phys., 55:4 (2014), 701–708 | DOI

[17] Banschikova I. A., “Deformirovanie transtropnykh plastin s ponizhennoi soprotivlyaemostyu polzuchesti v poperechno-sdvigovom napravlenii”, V Mezhdunar. konf. “Deformatsiya i razrushenie materialov i nanomaterialov”, Sb. materialov, IMET RAN, M., 2013, 38–40

[18] Petrov D. M., Banschikova I. A., “Izgib orebrennykh plastin iz transversalno-izotropnykh materialov s ponizhennoi soprotivlyaemostyu v sdvigovom napravlenii pri polzuchesti”, Nauka. Promyshlennost. Oborona, Tr. XVI Vseros. nauch.-tekhn. konf., ed. K. A. Matveev, Izd-vo NGTU, Novosibirsk, 2015, 629–633