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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022 Volume 9, Issue 4, Pages 679–692 (Mi vspua62)

This article is cited 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

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.

UDC: 539.3

MSC: 74B05, 74S05

Received: 30.03.2022
Revised: 23.05.2022
Accepted: 09.06.2022

DOI: 10.21638/spbu01.2022.410


 English version:
Vestnik St. Petersburg University, Mathematics, 2022, 9:4, 443–452


© Steklov Math. Inst. of RAS, 2024