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Numerical Modeling of the Deformation Behavior of Polymer Lattice Structures with a Density Gradient Based on Additive Technologies

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Abstract

The mechanical behavior of graded lattice structures whose geometry is created on the basis of the analytical determination of three-dimensional triply periodic minimal surfaces (TPMS) is investigated. Several homogeneous and graded 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 Micro-DIC video system. The results of numerical simulation of the deformation behavior of gradient structures with the Shoen G (gyroid) TPMS geometry under uniaxial compression are presented. The influence of structure parameters and gradient properties on the mechanical behavior is studied.

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Funding

We gratefully acknowledge financial support from the mega-grant international cooperation program, project no. 075-15-21021-578 of May 31, 2021, hosted by Perm National Research Polytechnic University.

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Authors and Affiliations

  1. Perm National Research Polytechnic University, 614990, Perm, Russia

    N. V. Elenskaya & M. A. Tashkinov

  2. Loughborough University, LE11 3TI, Loughborough, UK

    V. V. Silberschmidt

Authors
  1. N. V. Elenskaya
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  2. M. A. Tashkinov
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  3. V. V. Silberschmidt
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Corresponding authors

Correspondence to N. V. Elenskaya, M. A. Tashkinov or V. V. Silberschmidt.

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Translated by E. Smirnova

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Elenskaya, N.V., Tashkinov, M.A. & Silberschmidt, V.V. Numerical Modeling of the Deformation Behavior of Polymer Lattice Structures with a Density Gradient Based on Additive Technologies. Vestnik St.Petersb. Univ.Math. 55, 443–452 (2022). https://doi.org/10.1134/S1063454122040045

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