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Finite Element Investigation of Mechanical Properties of Highly Porous Nanoscale Materials Composed of Regular Lattices from Gibson-Ashby Cells of Variable Geometry

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Physics and Mechanics of New Materials and Their Applications (PHENMA 2023)

Part of the book series: Springer Proceedings in Materials ((SPM,volume 41))

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Abstract

In this research, a finite element model of regular highly porous foam structure based on the macro or nano sized Gibson-Ashby cell is proposed. To account for the dimensional effect, the Gurtin-Murdoch model was used, which considers the surface stresses arising on the boundaries of the cell. The computer model construction, finite element meshing, and the numerical solution of the homogenization problem were carried out in the ANSYS software package. Here, the influence of the cell geometry at a fixed porosity was initially investigated. The obtained results confirm that the effective moduli of highly porous structures composed of Gibson-Ashby cells depend not only on porosity, but also on the geometric configuration. For example, at the same porosity, cells with thicker edges have greater rigidity. Numerical experiments were also carried out at the nanoscale, that is, model considered surface stresses. The relative stiffness moduli of nanoscale structures are significantly higher than similar values of regular size structures. Moreover, the dimensional effect has a greater influence on the effective properties of a highly porous material than the cell configuration. For example, the relative effective Young’s modulus of a regular size structure with thick edges is smaller than that of a nanoscale structure with thin edges. In this paper, cells with a complex geometric structure are considered, so a representative volume loses the isotropic properties of the material. Therefore, a study of the anisotropic effective properties based on the Zener coefficient was also carried out.

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Acknowledgement

This research was supported by the Russian Science Foundation, grant number No. 22-11-00302.

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Authors and Affiliations

  1. I.I. Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, 344090, Russia

    Alexandr Kornievsky & Andrey Nasedkin

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  1. Alexandr Kornievsky
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  2. Andrey Nasedkin
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Correspondence to Andrey Nasedkin .

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Editors and Affiliations

  1. I. I. Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, Russia

    Ivan A. Parinov

  2. Department of Microelectronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan

    Shun-Hsyung Chang

  3. Institute for Research and Community Service, Universitas 17 Agustus 1945 Surabaya, Surabaya, Indonesia

    Erni Puspanantasari Putri

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Kornievsky, A., Nasedkin, A. (2024). Finite Element Investigation of Mechanical Properties of Highly Porous Nanoscale Materials Composed of Regular Lattices from Gibson-Ashby Cells of Variable Geometry. In: Parinov, I.A., Chang, SH., Putri, E.P. (eds) Physics and Mechanics of New Materials and Their Applications. PHENMA 2023. Springer Proceedings in Materials, vol 41. Springer, Cham. https://doi.org/10.1007/978-3-031-52239-0_31

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