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Designing Cellular Structures for Additive Manufacturing Using Voronoi–Monte Carlo Approach

State IJR Center of Aerospace Design and Additive Manufacturing, School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China
UR1268 Biopolymères Interactions Assemblages, INRA, F-44300 Nantes, France
Authors to whom correspondence should be addressed.
Polymers 2019, 11(7), 1158;
Received: 6 May 2019 / Revised: 14 June 2019 / Accepted: 19 June 2019 / Published: 7 July 2019
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This study aims at reporting a strategy of designing cellular materials based on Voronoi–Monte Carlo approach for additive manufacturing. The approach is implemented to produce a fully connected cellular structure in the design space without producing material discontinuity. The main characteristics of the cellular structure, such as the density and the cell size, are controlled by means of two generation parameters, namely the number of seed points and the relaxation time. The generated cellular structures representing various designs of generated cellular wrenches are converted into surface tessellations and manufactured using stereolithography. Bending experiments are performed up to the rupture point and main attributes representing the performance of the SL-based cellular wrenches are studied with respect to the generation parameters. The results show only slight difference between CAD (Computer-Aided Design) models of the design and the real printed parts. The number of seed points is found to control the main feature of the wrench performance whereas the relaxation time is found to have a secondary effect. View Full-Text
Keywords: Monte Carlo; Voronoi; stereolithography; mechanical performance; cellular structure Monte Carlo; Voronoi; stereolithography; mechanical performance; cellular structure

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Liu, T.; Guessasma, S.; Zhu, J.; Zhang, W. Designing Cellular Structures for Additive Manufacturing Using Voronoi–Monte Carlo Approach. Polymers 2019, 11, 1158.

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