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Hyperelasticity models extending Hooke's law from the region of small strains to moderate ones Full article

Conference INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2019, ICNAAM 2019
23-28 Sep 2019 , Rhodes
Journal AIP Conference Proceedings
ISSN: 0094-243X
Output data Year: 2020, Volume: 2293, Article number : 370007, Pages count : 4 DOI: 10.1063/5.0026471
Authors Rotanova T.A. 1 , Korobeynikov S.N. 1 , Larichkin A.Yu. 1
Affiliations
1 Lavrentyev Institute of Hydrodynamics

Funding (1)

1 Министерство науки и высшего образования Российской Федерации 14.W03.31.0002

Abstract: Lagrangian formulations of Hill's linear isotropic hyperelastic material models based on the one-parameter (r) Itskov family of strain tensors are developed. These formulations are based on the use of pairs of conjugate Lagrangian stress and strain tensors. Fourth-order elasticity tensors are obtained for these material models. The developed formulations of isotropic hyperelastic material models are implemented into the commercial finite element MSC.Marc code It is shown that the Pelzer isotropic hyperelastic material model is competitive with the Mooney-Rivlin material model.
Cite: Rotanova T.A. , Korobeynikov S.N. , Larichkin A.Y.
Hyperelasticity models extending Hooke's law from the region of small strains to moderate ones
AIP Conference Proceedings. 2020. V.2293. 370007 :1-4. DOI: 10.1063/5.0026471 Scopus РИНЦ OpenAlex
Identifiers:
Scopus: 2-s2.0-85097976610
Elibrary: 45060054
OpenAlex: W3108092250
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