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Erschienen in: Acta Mechanica 5/2023

13.01.2023 | Original Paper

Design of lattice materials with isotropic stiffness through combination of two complementary cubic lattice configurations

verfasst von: Puhao Li, Fan Yang, Yijie Bian, Siyuan Zhang, Lihua Wang

Erschienen in: Acta Mechanica | Ausgabe 5/2023

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Abstract

Lattice materials possess excellent mechanical properties such as light weight, high specific stiffness and high energy absorption capacity. However, the commonly used lattice materials inspired by Bravais lattice often give rise to property anisotropy that is not desirable for engineering application such as bone implants. For this sake, a design methodology for isotropic stiffness is proposed in this paper. Firstly, an efficient theoretical method for calculating the elastic matrices of lattice materials was presented. The method is based on Euler–Bernoulli beam theory and the assumption of affine deformation of cell vertices applicable to cubic truss-lattice materials. The theoretical approach was validated by comparing with the finite element simulations. Utilizing the validated theoretical method, and by properly combining the lattice configurations with complementary stiffness along different directions, an elastic isotropic lattice material can be obtained. A few examples are presented to demonstrate the effectiveness and adaptability of the proposed design strategy by permutating the combinations of different classic lattices. The method proposed in this paper can provide a new approach in the design of lattice materials with excellent anisotropy control.
Literatur
31.
Zurück zum Zitat Asaro, R., Lubarda, V.: Mechanics of Solids and Materials. Cambridge University Press, Cambridge (2006)CrossRefMATH Asaro, R., Lubarda, V.: Mechanics of Solids and Materials. Cambridge University Press, Cambridge (2006)CrossRefMATH
Metadaten
Titel
Design of lattice materials with isotropic stiffness through combination of two complementary cubic lattice configurations
verfasst von
Puhao Li
Fan Yang
Yijie Bian
Siyuan Zhang
Lihua Wang
Publikationsdatum
13.01.2023
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 5/2023
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-023-03480-y

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