@article{UZKU_2008_150_3_a12,
author = {A. I. Golovanov and Yu. G. Konoplev and L. U. Sultanov},
title = {Numerical {Investigation} of {Large} {Deformations} of {Hyperelastic} {Solids.} {II.~Stress-strain} relationships},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {122--132},
year = {2008},
volume = {150},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a12/}
}
TY - JOUR AU - A. I. Golovanov AU - Yu. G. Konoplev AU - L. U. Sultanov TI - Numerical Investigation of Large Deformations of Hyperelastic Solids. II. Stress-strain relationships JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2008 SP - 122 EP - 132 VL - 150 IS - 3 UR - http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a12/ LA - ru ID - UZKU_2008_150_3_a12 ER -
%0 Journal Article %A A. I. Golovanov %A Yu. G. Konoplev %A L. U. Sultanov %T Numerical Investigation of Large Deformations of Hyperelastic Solids. II. Stress-strain relationships %J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki %D 2008 %P 122-132 %V 150 %N 3 %U http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a12/ %G ru %F UZKU_2008_150_3_a12
A. I. Golovanov; Yu. G. Konoplev; L. U. Sultanov. Numerical Investigation of Large Deformations of Hyperelastic Solids. II. Stress-strain relationships. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 3, pp. 122-132. http://geodesic.mathdoc.fr/item/UZKU_2008_150_3_a12/
[1] Golovanov A. I., Konoplev Yu. G., Sultanov L. U., “Chislennoe issledovanie konechnykh deformatsii giperuprugikh tel. I: Kinematika i variatsionnye uravneniya”, Uchen. zap. Kazan. un-ta. Ser. fiz.-matem. nauki, 150, kn. 1 (2008), 29–37 | Zbl
[2] Grin A., Adkins D., Bolshie uprugie deformatsii i nelineinaya mekhanika sploshnoi sredy, Mir, M., 1965, 455 pp. | MR | Zbl
[3] Guz A. N., Osnovy trekhmernoi teorii ustoichivosti deformiruemykh tel, Vischa shk., Kiev, 1986, 511 pp.
[4] Eliseev V. V., Mekhanika uprugikh tel, SPbGTU, SPb., 1999, 341 pp.
[5] Lure A. I., Nelineinaya teoriya uprugosti, Nauka, M., 1980, 512 pp. | MR
[6] Lure A. I., Teoriya uprugosti, Nauka, M., 1970, 939 pp.
[7] Oden D., Konechnye elementy v nelineinoi mekhanike sploshnykh sred, Mir, M., 1976, 464 pp.
[8] Trusdell K., Pervonachalnyi kurs ratsionalnoi mekhaniki sploshnykh sred, Mir, M., 1975, 592 pp.
[9] Chernykh K. F., Nelineinaya teoriya uprugosti v mashinostroitelnykh raschetakh, Mashinostroenie, L., 198, 336 pp.
[10] Chernyshov A. D., “Prostye opredelyayuschie uravneniya dlya uprugoi sredy pri konechnykh deformatsiyakh”, Izv. AN. MTT, 1993, no. 1, 75–81
[11] Simo J. S., Pister K. S., “Remarks on rate constitutive equations for finite deformation problems: computational implications”, Comput. Meth. Appl. Mech. Eng., 46:2 (1984), 201–215 | DOI | Zbl
[12] Simo J. S., Ortiz M., “A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations”, Comput. Meth. Appl. Mech. Eng., 49:2 (1985), 221–245 | DOI | MR | Zbl
[13] Kuznetsova V. G., Rogovoi A. A., “Effekt ucheta slaboi szhimaemosti materiala v uprugikh zadachakh s konechnymi deformatsiyami”, Izv. RAN. MTT, 1999, no. 4, 64–76
[14] Konyukhov A. V., Konoplev Yu. G., Chast 1, Izv. vuzov. Aviatsionnaya tekhnika, no. 3, 2006
[15] Panov A. D., “Teoriya opredelyayuschikh sootnoshenii pri deformirovanii izotropnogo tverdogo tela”, Izv. RAN. MTT, 2004, no. 6, 27–44