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Dal'nevost. Mat. Zh., 2013, Volume 13, Number 2, Pages 222–249 (Mi dvmg265)  

This article is cited in 3 scientific papers (total in 3 papers)

Computer implementation of Lagrangian formulation of Hencky's isotropic hyperelastic material constitutive relations

S. N. Korobeinikova, A. A. Oleinikovb, A. U. Larichkina, A. V. Babichevc, V. V. Alekhinc

a M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
b Komsomolsk-on-Amur State Technical University
c Sobolev Institute of Geology and Mineralogy, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Lagrangian formulation of Hencky's isotropic hyperelastic material constitutive relations is implemented into MSC.Marc code. Reliability of implementation proves to be true due to the comparison of numerical solutions obtained with the use of MSC.Marc code with exact solutions of three-dimensional problems on simple shear and on uniaxial extension of a rod with Hencky's isotropic hyperelastic material model. New solutions of a problem on origin of a neck and postcritical deformation of the rod are obtained at its extension by the prescribed displacement of the edge face.

Key words: isotropic hyperelasticity, Hencky's material, finite element method, MSC.Marc code

Full text: PDF file (1388 kB)
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Document Type: Article
UDC: 539.0
MSC: 74B20
Received: 22.11.2012

Citation: S. N. Korobeinikov, A. A. Oleinikov, A. U. Larichkin, A. V. Babichev, V. V. Alekhin, “Computer implementation of Lagrangian formulation of Hencky's isotropic hyperelastic material constitutive relations”, Dal'nevost. Mat. Zh., 13:2 (2013), 222–249

Citation in format AMSBIB
\Bibitem{KorOleLar13}
\by S.~N.~Korobeinikov, A.~A.~Oleinikov, A.~U.~Larichkin, A.~V.~Babichev, V.~V.~Alekhin
\paper Computer implementation of Lagrangian formulation of Hencky's isotropic hyperelastic material constitutive relations
\jour Dal'nevost. Mat. Zh.
\yr 2013
\vol 13
\issue 2
\pages 222--249
\mathnet{http://mi.mathnet.ru/dvmg265}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. B. Bakholdin, “Metody issledovaniya rasprostraneniya voln v trube s uprugimi stenkami pri nalichii zapolneniya ee zhidkostyu”, Preprinty IPM im. M. V. Keldysha, 2015, 070, 16 pp.  mathnet
    2. I. B. Bakholdin, “Issledovanie rasprostraneniya voln v trubakh s uprugimi stenkami i analiz chislennykh metodov”, Preprinty IPM im. M. V. Keldysha, 2016, 030, 32 pp.  mathnet
    3. I. B. Bakholdin, “Issledovanie modelei, opisyvayuschikh rasprostranenie voln v trube s uprugimi stenkami pri nalichii zapolneniya ee zhidkostyu i gazom”, Preprinty IPM im. M. V. Keldysha, 2017, 051, 32 pp.  mathnet  crossref
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