Geodesic
Thin-walled structures destruction and location strain on chart rigid-current
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 96-103 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this article the model of fracture of thin plates with cracks, which is a continuation and generalization of rocket fuel components model (Leonov–Panasyuk–Dugdale) and based on the idea of plastic zone at the crack tip as the areas in which deformations occur on a rigid scheme of Prager flow.
Keywords: rigid-plastic stream, thin-walled plate, crack, model of Leonov Panasyuk–Dugdale, plastic deformation, volume density of energy dissipation, Fredholm equation, method of “small parameter”. 
@article{VSGU_2014_7_a8,
     author = {A. S. Yakovlev},
     title = {Thin-walled structures destruction and location strain on chart rigid-current},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {96--103},
     year = {2014},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2014_7_a8/}
}
TY  - JOUR
AU  - A. S. Yakovlev
TI  - Thin-walled structures destruction and location strain on chart rigid-current
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2014
SP  - 96
EP  - 103
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/VSGU_2014_7_a8/
LA  - ru
ID  - VSGU_2014_7_a8
ER  - 
%0 Journal Article
%A A. S. Yakovlev
%T Thin-walled structures destruction and location strain on chart rigid-current
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2014
%P 96-103
%N 7
%U http://geodesic.mathdoc.fr/item/VSGU_2014_7_a8/
%G ru
%F VSGU_2014_7_a8
A. S. Yakovlev. Thin-walled structures destruction and location strain on chart rigid-current. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 96-103. http://geodesic.mathdoc.fr/item/VSGU_2014_7_a8/

[1] Onat E., Prager V., “Formation of a neck at a plastic current of stretched flat sample”, Mechanics, 1995, no. 4(32), 93–98 (in Russian)

[2] Dugdale D., “Yielding of steel sheets contains slitsh”, J. Mech. And Phys. Solids, 8:2 (1960), 100 | DOI

[3] Khromov A. I., Deformation and destruction of hard-plastic bodies, Dal'nauka, Vladivostok, 1996, 181 pp. (in Russian)

[4] Kozlova O. V., Khromov A. I., “On a destruction constant for ideal hard-plastic bodies”, Reports of the Russian Academy of Sciences, 385:3 (2002), 342–345 (in Russian)

[5] Muskhelishvili N. I., Some main objectives of mathematical theory of elasticity, Nauka, M., 1966, 708 pp. (in Russian) | Zbl

[6] Panasyuk V. V., Savruk M. P., Datsyshin A. P., Distribution of tension around a crack in plates and covers, Naukova dumka, Kiev, 1976, 442 pp. (in Russian)

[7] Bykovtsev G. I., Lukashev L. G., Stepanov S. L., “About one model of destruction in elasto-plastic ideal environments”, Problems of durability, 1982, no. 3, 72–75 (in Russian)

[8] Yakovlev A. S., “Valuation of influence of not through cracks on durability of constructions at the design of aircrafts”, Vestnik of Samara State Aerospace university, 2012, no. 4(35), 193–196

[9] Astafiev V. I., Yakovlev A. S., “Thin-walled plates and covers with not through crack-shaped defects in elasto-plastic approach”, Vestnik of Samara State Aerospace university, 5(36):1 (2012), 73–79 (in Russian)

[10] Yakovlev A. S., “Thin-walled plates with not through crack defects in the Dugdale approach”, Vestnik of Samara State University, 2013, no. 9/2(110), 140–146 (in Russian)