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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}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Cycle of papers

    This publication is cited in the following articles:
    1. 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  mathnet
    2. 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  mathnet
    3. 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  mathnet
    4. 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  mathnet  elib
    5. Sultanov L.U., “Analysis of Finite Elasto-Plastic Strains. Medium Kinematics and Constitutive Equations”, Lobachevskii J. Math., 37:6 (2016), 787–793  crossref  mathscinet  isi  elib
    6. Abdrakhmanova A.I. Sultanov L.U., “Numerical Modelling of Deformation of Hyperelastic Incompressible Solids”, Mater. Phys. Mech., 26:1 (2016), 30–32  isi  elib
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