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

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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. 
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     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},
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     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_1_a2/}
}
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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/