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Multiscale modeling of functionally graded shell lattice metamaterials for additive manufacturing

Shojaee, Mohammad ; Valizadeh, Iman ; Klein, Dominik K. ; Sharifi, P. ; Weeger, Oliver (2024)
Multiscale modeling of functionally graded shell lattice metamaterials for additive manufacturing.
In: Engineering with Computers, 2023
doi: 10.26083/tuprints-00026475
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Multiscale modeling of functionally graded shell lattice metamaterials for additive manufacturing
Language: English
Date: 20 February 2024
Place of Publication: Darmstadt
Year of primary publication: 2023
Place of primary publication: London
Publisher: Springer
Journal or Publication Title: Engineering with Computers
Collation: 18 ungezählte Seiten
DOI: 10.26083/tuprints-00026475
Corresponding Links:
Origin: Secondary publication service
Abstract:

In this work, an experimentally validated multiscale modeling framework for additively manufactured shell lattice structures with graded parameters is introduced. It is exemplifed in application to the Schwarz primitive triply periodic minimal surface microstructure and 3D printing using masked stereolithography of a photopolymer material. The systematic procedure starts with the characterization of a hyperelastic material model for the 3D printed material. This constitutive model is then employed in the fnite element simulation of shell lattices at fnite deformations. The computational model is validated with experimental compression tests of printed lattice structures. In this way, the numerical convergence behavior and size dependence of the model are assessed, and the range in which it is reasonable to assume linear elastic behavior is determined. Then, representative volume elements subject to periodic boundary conditions are simulated to homogenize the mechanical behavior of Schwarz primitives with varying aspect ratios and shell thicknesses. Subsequently, the parameterized efective linear elasticity tensor of the metamaterial is represented by a physics-augmented neural network model. With this constitutive model, functionally graded shell lattice structures with varying microstructural parameters are simulated as macroscale continua using fnite element and diferential quadrature methods. The accuracy, reliability and efectiveness of this multiscale simulation approach are investigated and discussed. Overall, it is shown that this experimentally validated multiscale simulation framework, which is likewise applicable to other shell-like metamaterials, facilitates the design of functionally graded structures through additive manufacturing.

Uncontrolled Keywords: Metamaterials, Functionally graded materials, Multiscale modeling, Physics-augmented machine learning, Additive manufacturing
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-264758
Classification DDC: 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 20 Feb 2024 08:32
Last Modified: 15 Apr 2024 13:52
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/26475
PPN: 517138379
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