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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 4, Pages 679–692
DOI: https://doi.org/10.21638/spbu01.2022.410 (Mi vspua62) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MECHANICS

Numerical modelling of the deformation behaviour of polymer lattice structures with density gradient based on additive technologies

N. V. Elenskayaa, M. A. Tashkinova, V. V. Silberschmidtb

a Perm National Research Polytechnic University, 29, Komsomolsky pr., Perm, 614990, Russian Federation
b Loughborough University, Epinal Way, Loughborough, LE11 3TU, United Kingdom
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DOI: https://doi.org/10.21638/spbu01.2022.410
Abstract: The mechanical behavior of gradient lattice structures whose geometry is based on the analytic definition of three-dimensional triply periodic minimal surfaces (TPMS) is investigated. Several homogeneous and gradient lattice models with different types of representative volume geometry and gradient parameters are considered. The numerical models are validated with data obtained experimentally using the Vic-3D video system. The results of numerical simulation of the deformation behaviour of gradient structures with the Shoen G (gyroid) TPMP geometry under uniaxial compression are presented. The influence of structure parameters and gradient properties on the mechanical behaviour is studied.
Keywords: triply periodic minimal surfaces, two-phase structures, finite element method, functional gradient, microstructure.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2021-578
The authors gratefully acknowledge financial support from the mega-grant international cooperation program, contract no. 075-15-2021-578 of May 31, 2021, hosted by Perm National Research Polytechnic University.
Received: 30.03.2022
Revised: 23.05.2022
Accepted: 09.06.2022
English version:
Vestnik St. Petersburg University, Mathematics, 2022, Volume 9, Issue 4, Pages 443–452
DOI: https://doi.org/10.1134/S1063454122040045
Document Type: Article
UDC: 539.3
MSC: 74B05, 74S05
Language: Russian
Citation: N. V. Elenskaya, M. A. Tashkinov, V. V. Silberschmidt, “Numerical modelling of the deformation behaviour of polymer lattice structures with density gradient based on additive technologies”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:4 (2022), 679–692; Vestn. St. Petersbg. Univ., Math., 9:4 (2022), 443–452
Citation in format AMSBIB
\Bibitem{EleTasSil22}
\by N.~V.~Elenskaya, M.~A.~Tashkinov, V.~V.~Silberschmidt
\paper Numerical modelling of the deformation behaviour of polymer lattice structures with density gradient based on additive technologies
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 4
\pages 679--692
\mathnet{http://mi.mathnet.ru/vspua62}
\crossref{https://doi.org/10.21638/spbu01.2022.410}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 4
\pages 443--452
\crossref{https://doi.org/10.1134/S1063454122040045}
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