Buckling optimization of additively manufactured cellular structures using numerical homogenization based on beam models

Hübner D, Herrnböck L, Wein F, Mergheim J, Steinmann P, Stingl M (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Archive of Applied Mechanics Springer Verlag (Germany)

Abstract

Interest in components with detailed structures increased with the progress in advanced manufacturing techniques. Parts with lattice elements can provide improved global buckling stability compared to solid structures of the same weight. However, thin features are prone to local buckling. We present a two-scale optimization approach that simultaneously improves the local and global stability of parametrized graded lattice structures. Elastic properties and local buckling behavior are upscaled via homogenization based on geometric exact beam theory. To reduce computational effort, we construct a worst-case model for the homogenized buckling load factor, which acts as a safeguard against local buckling. We briefly discuss advantages and limitations by means of numerical examples.

Authors with CRIS profile

Daniel Hübner Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Ludwig Herrnböck Lehrstuhl für Technische Mechanik Fabian Wein Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Julia Mergheim Lehrstuhl für Technische Mechanik Paul Steinmann Lehrstuhl für Technische Mechanik Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung)

How to cite

APA:

Hübner, D., Herrnböck, L., Wein, F., Mergheim, J., Steinmann, P., & Stingl, M. (2023). Buckling optimization of additively manufactured cellular structures using numerical homogenization based on beam models. Archive of Applied Mechanics. https://doi.org/10.1007/s00419-023-02503-3

MLA:

Hübner, Daniel, et al. "Buckling optimization of additively manufactured cellular structures using numerical homogenization based on beam models." Archive of Applied Mechanics (2023).

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