Geodesic
Numerical Investigation of Large Deformations of Hyperelastic Solids. I. Kinematics and Variational Equations
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 29-37
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The present article starts a series of papers devoted to building a numerical algorithm of researching large deformations of hyperelastic solids. The theoretical background for large deformation is considered. Several general variational equations for solving nonlinear problem of solid mechanics are presented.
Keywords: large deformations, hyperelastic, tensor of deformations, stress tensor
Mots-clés : variational equations. 
@article{UZKU_2008_150_1_a2,
     author = {A. I. Golovanov and Yu. G. Konoplev and L. U. Sultanov},
     title = {Numerical {Investigation} of {Large} {Deformations} of {Hyperelastic} {Solids.} {I.~Kinematics} and {Variational} {Equations}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {29--37},
     year = {2008},
     volume = {150},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a2/}
}
TY  - JOUR
AU  - A. I. Golovanov
AU  - Yu. G. Konoplev
AU  - L. U. Sultanov
TI  - Numerical Investigation of Large Deformations of Hyperelastic Solids. I. Kinematics and Variational Equations
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2008
SP  - 29
EP  - 37
VL  - 150
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a2/
LA  - ru
ID  - UZKU_2008_150_1_a2
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. I. Kinematics and Variational Equations
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2008
%P 29-37
%V 150
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a2/
%G ru
%F UZKU_2008_150_1_a2
A. I. Golovanov; Yu. G. Konoplev; L. U. Sultanov. Numerical Investigation of Large Deformations of Hyperelastic Solids. I. Kinematics and Variational Equations. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 1, pp. 29-37. http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a2/

[1] Oden D., Konechnye elementy v nelineinoi mekhanike sploshnykh sred, Mir, M., 1976, 464 pp.

[2] Chernykh K. F., Nelineinaya teoriya uprugosti v mashinostroitelnykh raschetakh, Mashinostroenie, L., 1986, 336 pp.

[3] Korobeinikov S. N., Nelineinoe deformirovanie tverdykh tel, Izd-vo SO RAN, Novosibirsk, 2000, 262 pp.

[4] Lure A. I., Nelineinaya teoriya uprugosti, Nauka, M., 1980, 512 pp. | MR

[5] Trusdell K., Pervonachalnyi kurs ratsionalnoi mekhaniki sploshnykh sred, Mir, M., 1975, 592 pp.

[6] Vasidzu K., Variatsionnye metody v teorii uprugosti i plastichnosti, Mir, M., 1987, 542 pp.

[7] Grin A., Adkins D., Bolshie uprugie deformatsii i nelineinaya mekhanika sploshnoi sredy, Mir, M., 1965, 455 pp. | MR | Zbl

[8] Golovanov A. I., Sultanov L. U., Teoreticheskie osnovy vychislitelnoi nelineinoi mekhaniki deformiruemykh sred, Izd-vo Kazan. un-ta, Kazan, 2008, 165 pp.