Geodesic
A~study of elastic-plastic boundary propagation in a~tube of elastic-perfectly plastic material under dynamic loadings of different types
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 3, pp. 201-216.

Voir la notice de l'article provenant de la source Math-Net.Ru

The research of dynamics of the distribution of the border between areas of elasticity and plasticity for a hollow thick-walled cylinder under the influence of the internal pressure applied instantly is conducted in this work. The proof of the accuracy of the obtained numerical solution is provided. A more general regime of loading a tube is examined. 
@article{FPM_2016_21_3_a11,
     author = {P. V. Tishin},
     title = {A~study of elastic-plastic boundary propagation in a~tube of elastic-perfectly plastic material under dynamic loadings of different types},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {201--216},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_3_a11/}
}
TY  - JOUR
AU  - P. V. Tishin
TI  - A~study of elastic-plastic boundary propagation in a~tube of elastic-perfectly plastic material under dynamic loadings of different types
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2016
SP  - 201
EP  - 216
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2016_21_3_a11/
LA  - ru
ID  - FPM_2016_21_3_a11
ER  - 
%0 Journal Article
%A P. V. Tishin
%T A~study of elastic-plastic boundary propagation in a~tube of elastic-perfectly plastic material under dynamic loadings of different types
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2016
%P 201-216
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2016_21_3_a11/
%G ru
%F FPM_2016_21_3_a11
P. V. Tishin. A~study of elastic-plastic boundary propagation in a~tube of elastic-perfectly plastic material under dynamic loadings of different types. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 3, pp. 201-216. http://geodesic.mathdoc.fr/item/FPM_2016_21_3_a11/

[1] Arushanyan I. O., Kornev A. A., Chizhonkov E. V., Zadachi i uprazhneniya po kursu «Chislennye metody», Izd-vo TsPI pri mekh.-mat. fak-te MGU, M., 2006

[2] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Binom, M., 2008 | MR

[3] Kachanov L. M., Osnovy teorii plastichnosti, Nauka, M., 1969

[4] Lomakin E. V., “Vliyanie zapazdyvaniya tekuchesti na rasprostranenie plasticheskoi oblasti v tolstostennoi trube pod deistviem dinamicheskoi nagruzki”, Izv. AN SSSR. MTT, 1968, no. 2, 168–171 | MR

[5] Rabotnov Yu. N., Soprotivlenie materialov, Fizmatgiz, M., 1962

[6] Rabotnov Yu. N., Mekhanika deformiruemogo tverdogo tela, Nauka, M., 1988

[7] Sedov L. I., Mekhanika sploshnoi sredy, Nauka, M., 1970 | MR

[8] Sokolovskii V. V., “Uprugo-plasticheskoe napryazhennoe sostoyanie truby, nakhodyascheisya pod deistviem ravnomernykh vnutrennego i vneshnego davlenii”, Prikl. matem. i mekh., 7 (1943), 74–80

[9] Fedorenko R. P., Vvedenie v vychislitelnuyu fiziku, Izd-vo MFTI, M., 1994

[10] Khairer E., Nersett S., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii, Mir, M., 1990 | MR

[11] Hopkinson B., “The effects of momentary stress in metals”, Proc. Roy. Soc. London., 74 (1904), 498–506 | DOI

[12] Hopkinson B., “A method of measuring the pressure produced in the detonation of high explosives or by the impact of bullets”, Trans. Roy. Philos. Soc. Ser. A, 213 (1914), 437–456 | DOI