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

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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie 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. Golovanov^a, Yu. G. Konoplev^a, L. U. Sultanov^b

^a Kazan State University
^b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Full-text PDF (207 kB) Citations (6)

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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.

Received: 25.01.2008

UDC: 539.3

Language: Russian

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:

https://www.mathnet.ru/eng/uzku693

https://www.mathnet.ru/eng/uzku/v150/i3/p122

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 6 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki

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References:	37

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