Numerical analysis of critical pressure in the thin-walled cylindrical shell containing a soft layer
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 29-35 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The numerical analysis of critical pressure in thin-walled cylindrical shells with use of author's mathematical models of the stress-strained state of such shells is made at a loading their intrinsic pressure and an axial thrust. It is supposed, that shells contain layers from less strong material. On the basis of these models the programs are created, allowing to find a critical intrinsic pressure in shell depending on mechanical and geometrical parameters and conditions of loading.
Keywords: thin-walled cylindrical shell, less durable layer, plastic deformation, contact strengthening, critical pressure, numerical analysis.
@article{VYURU_2011_8_a2,
     author = {V. L. Dil'man},
     title = {Numerical analysis of critical pressure in the thin-walled cylindrical shell containing a soft layer},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {29--35},
     year = {2011},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_8_a2/}
}
TY  - JOUR
AU  - V. L. Dil'man
TI  - Numerical analysis of critical pressure in the thin-walled cylindrical shell containing a soft layer
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2011
SP  - 29
EP  - 35
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/VYURU_2011_8_a2/
LA  - ru
ID  - VYURU_2011_8_a2
ER  - 
%0 Journal Article
%A V. L. Dil'man
%T Numerical analysis of critical pressure in the thin-walled cylindrical shell containing a soft layer
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2011
%P 29-35
%N 8
%U http://geodesic.mathdoc.fr/item/VYURU_2011_8_a2/
%G ru
%F VYURU_2011_8_a2
V. L. Dil'man. Numerical analysis of critical pressure in the thin-walled cylindrical shell containing a soft layer. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 8 (2011), pp. 29-35. http://geodesic.mathdoc.fr/item/VYURU_2011_8_a2/

[1] H. Swift, “Plastic instability under plane stress”, J. Mech. and Phys. Solids, 1952, no. 1, 1–18 | DOI

[2] V. L. Dilman, A. A. Ostsemin, “O vliyanii dvukhosnosti nagruzheniya na nesuschuyu sposobnost trub magistalnykh gazonefteprovodov”, Izv. RAN. Mekhanika tverdogo tela, 2000, no. 5, 179–185

[3] V. L. Dilman, “Plasticheskaya neustoichivost tonkostennykh tsilindricheskikh obolochek”, Izv. RAN. Mekhanika tverdogo tela, 2005, no. 4, 165–175

[4] G. I. Kovalchuk, “K voprosu o potere ustoichivosti plasticheskogo deformirovaniya obolochek”, Problemy prochnosti, 1983, no. 5, 11–16

[5] V. L. Dilman, A. A. Ostsemin, “Nesuschaya sposobnost spiralnoshovnykh trub bolshogo diametra”, Khim. i neftegaz. mashinostroenie, 2002, no. 6, 11–15

[6] V. L. Dilman, “Analiz plasticheskoi ustoichivosti osevykh i spiralnykh myagkikh prosloek v tsilindricheskoi tonkostennoi obolochke”, Obozrenie priklad. i prom. matematiki, 14:4 (2007), 704–705

[7] V. L. Dilman, Matematicheskie modeli napryazhennogo sostoyaniya neodnorodnykh tonkostennykh tsilindricheskikh obolochek, Izd-vo YuUrGU, Chelyabinsk, 2007, 202 pp.

[8] V. L. Dilman, “Issledovanie analiticheskimi metodami matematicheskikh modelei napryazhennogo sostoyaniya tonkostennykh neodnorodnykh tsilindricheskikh obolochek”, Vest. YuUrGU. Seriya «Matematicheskoe modelirovanie i programmirovanie», 17(150):3 (2009), 36–58 | Zbl

[9] V. L. Dilman, A. A. Ostsemin, “O napryazhenno-deformirovannom sostoyanii pri rastyazhenii plasticheskogo sloya s dvumya osyami simmetrii”, Izv. RAN. Mekhanika tverdogo tela, 2001, no. 6, 115–124 | MR

[10] V. L. Dilman, A. A. Ostsemin, “Napryazhennoe sostoyanie i staticheskaya prochnost plastichnoi prosloiki pri ploskoi deformatsii”, Problemy mashinostroeniya i nadezhnosti mashin, 2005, no. 4, 38–48