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

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Dal'nevostochnyi Matematicheskii Zhurnal, 2013, Volume 13, Number 2, Pages 222–249 (Mi dvmg265)

This article is cited in 7 scientific papers (total in 7 papers)

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

S. N. Korobeinikov^a, A. A. Oleinikov^b, A. U. Larichkin^a, A. V. Babichev^c, V. V. Alekhin^c

^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

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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.

Received: 22.11.2012

Document Type: Article

UDC: 539.0

MSC: 74B20

Language: Russian

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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https://www.mathnet.ru/eng/dvmg/v13/i2/p222

This publication is cited in the following 7 articles:

Citing articles in Google Scholar: Russian citations, English citations
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References:	71
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