Geodesic
Tension with torsion. Part 1. Material properties
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 116 (2008) no. 1, pp. 36-44 
V. V. Struzhanov; E. Yu. Prosviryakov. Tension with torsion. Part 1. Material properties. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 116 (2008) no. 1, pp. 36-44. http://geodesic.mathdoc.fr/item/VSGTU_2008_116_1_a5/
@article{VSGTU_2008_116_1_a5,
     author = {V. V. Struzhanov and E. Yu. Prosviryakov},
     title = {Tension with torsion. {Part~1.} {Material} properties},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {36--44},
     year = {2008},
     volume = {116},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_116_1_a5/}
}
TY  - JOUR
AU  - V. V. Struzhanov
AU  - E. Yu. Prosviryakov
TI  - Tension with torsion. Part 1. Material properties
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2008
SP  - 36
EP  - 44
VL  - 116
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2008_116_1_a5/
LA  - ru
ID  - VSGTU_2008_116_1_a5
ER  - 
%0 Journal Article
%A V. V. Struzhanov
%A E. Yu. Prosviryakov
%T Tension with torsion. Part 1. Material properties
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2008
%P 36-44
%V 116
%N 1
%U http://geodesic.mathdoc.fr/item/VSGTU_2008_116_1_a5/
%G ru
%F VSGTU_2008_116_1_a5

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

Quasistatic tension with torsion of hollow cylindrical element of material under rigid loading taking into account both hardening and softening is considered. The external conditions corresponding the specific points deforming path where the stability failure can happen one determined. The incremental constituent relations are developed. The case where stress potential exists is studied in details.

[1] Annin B. D., Zhigalkin V. M., Povedenie materialov v usloviyakh slozhnogo nagruzheniya, Izd-vo SO RAN, Novosibirsk, 1999

[2] Malinin N. N., Prikladnaya teoriya plastichnosti i polzuchesti, Mashinostroenie, M., 1968

[3] Zhukov A. M., “Nekotorye osobennosti povedeniya materialov pri uprugoplasticheskom deformirovanii”, Voprosy teorii plastichnosti, Izd-vo AN SSSR, M., 1961, 30–57

[4] Ilyushin A. A., Plastichnost, Izd.-vo AN SSSR, M., 1963

[5] Gilmor R., Prikladnaya teoriya katastrof, Mir, M., 1984 | Zbl

[6] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989 | MR

[7] Lure A. I., Teoriya uprugosti, Nauka, M., 1970

[8] Pisarenko G. S., Lebedev A. A., Soprotivlenie materialov deformirovaniyu i razrusheniyu pri slozhnom napryazhennom sostoyanii, Naukova dumka, Kiev, 1969

[9] Koshlyakov N. S., Gliner E. B., Smirnov M. M., Uravneniya v chastnykh proizvodnykh matematicheskoi fiziki, Vyssh. shk., M., 1970 | Zbl

[10] Bellman R., Vvedenie v teoriyu matrits, Nauka, M., 1969 | MR | Zbl

[11] Korn G., Korn T., Spravochnik po matematike, Nauka, M., 1968