|
|
Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008, Volume 150, Book 3, Pages 122–132
(Mi uzku693)
|
 |
|
 |
This article is cited in 6 scientific papers (total in 6 papers)
Numerical Investigation of Large Deformations of Hyperelastic Solids. II. Stress-strain relationships
A. I. Golovanova, Yu. G. Konopleva, L. U. Sultanovb
a Kazan State University
b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Abstract:
The current article is the second part of a research work cycle “Numerical investigation of large deformations of hyperelastic solids”. The article presents theoretical aspects of forming stress-strain relationships for hyperelastic solids. Isotropic and nearly incompressible materials are considered.
Keywords:
large deformations, hyperelasticity, strain energy potential, stress-strain relationships.
 Full text:
PDF file (207 kB)
References:
PDF file
HTML file
UDC:
539.3
Received: 25.01.2008
Citation:
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov, “Numerical Investigation of Large Deformations of Hyperelastic Solids. II. Stress-strain relationships”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 150, no. 3, Kazan University, Kazan, 2008, 122–132
Citation in format AMSBIB
\Bibitem{GolKonSul08}
\by A.~I.~Golovanov, Yu.~G.~Konoplev, L.~U.~Sultanov
\paper Numerical Investigation of Large Deformations of Hyperelastic Solids. II.~Stress-strain relationships
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2008
\vol 150
\issue 3
\pages 122--132
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku693}
Linking options:
http://mi.mathnet.ru/eng/uzku693 http://mi.mathnet.ru/eng/uzku/v150/i3/p122
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
Cycle of papers
- Numerical Investigation of Large Deformations of Hyperelastic Solids. I. Kinematics and Variational Equations
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov
Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008, 150:1, 29–37
- Numerical Investigation of Large Deformations of Hyperelastic Solids. II. Stress-strain relationships
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov
Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2008, 150:3, 122–132
- Numerical investigation of large deformations of hyperelastic solids. III. Statements of problem and solution algorithms
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov
Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009, 151:3, 108–120
- Numerical investigation of large deformations of hyperelastic solids. IV. Finite element realization
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, 152:4, 115–126
This publication is cited in the following articles:
-
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov, “Chislennoe issledovanie konechnykh deformatsii giperuprugikh tel. III. Postanovki zadachi i algoritmy resheniya”, Uchen. zap. Kazan. gos. un-ta. Ser. Fiz.-matem. nauki, 151, no. 3, Izd-vo Kazanskogo un-ta, Kazan, 2009, 108–120
 -
A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov, “Chislennoe issledovanie konechnykh deformatsii giperuprugikh tel. IV. Konechnoelementnaya realizatsiya. Primery resheniya zadach”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 152, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2010, 115–126
-
R. L. Davydov, L. U. Sultanov, “Reshenie zadachi o bolshikh uprugoplasticheskikh deformatsiyakh metodom konechnykh elementov”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 154, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2012, 17–25
-
L. U. Sultanov, “Issledovanie konechnykh uprugoplasticheskikh deformatsii. Kinematika sredy i opredelyayuschie sootnosheniya”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 157, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2015, 158–165
 -
Sultanov L.U., “Analysis of Finite Elasto-Plastic Strains. Medium Kinematics and Constitutive Equations”, Lobachevskii J. Math., 37:6 (2016), 787–793
   -
Abdrakhmanova A.I. Sultanov L.U., “Numerical Modelling of Deformation of Hyperelastic Incompressible Solids”, Mater. Phys. Mech., 26:1 (2016), 30–32
|
| Number of views: |
| This page: | 275 | | Full text: | 82 | | References: | 25 |
|
Terms of Use