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Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009, Volume 151, Book 3, Pages 108–120 (Mi uzku790)  

This article is cited in 5 scientific papers (total in 5 papers)

Numerical investigation of large deformations of hyperelastic solids. III. Statements of problem and solution algorithms

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 third part of a research work cycle “Numerical investigation of large deformations of hyperelastic solids”. The article describes the design algorithms for 3D-solids of hyperelastic materials on the basis of consecutive stress method. Different variants of problem statement are regarded. An algorithm is presented for investigating the deformation of hyperelastic low-compressible materials.

Keywords: large deformations, hyperelasticity, strain energy potential, statement of problem, algorithm.

Full text: PDF file (230 kB)
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UDC: 539.3
Received: 23.12.2008

Citation: A. I. Golovanov, Yu. G. Konoplev, L. U. Sultanov, “Numerical investigation of large deformations of hyperelastic solids. III. Statements of problem and solution algorithms”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 3, Kazan University, Kazan, 2009, 108–120

Citation in format AMSBIB
\Bibitem{GolKonSul09}
\by A.~I.~Golovanov, Yu.~G.~Konoplev, L.~U.~Sultanov
\paper Numerical investigation of large deformations of hyperelastic solids.~III. Statements of problem and solution algorithms
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 3
\pages 108--120
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku790}


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    Citing articles on Google Scholar: Russian citations, English citations
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    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. 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
    2. 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
    3. Sagdatullin M.K., “Postanovka zadachi chislennogo modelirovaniya konechnykh deformatsii mke”, Vestnik kazanskogo tekhnologicheskogo universiteta, 16:5 (2013), 210–215  elib
    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
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