HARNESSING FRACTAL THEORY FOR ENHANCED DESIGN AND MANUFACTURING IN 3D PRINTING: A REVIEW

Michal Schmirler, Jamaluddin Abdullah, Mayur Pratap Singh and Hamidreza Namazi
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Michal Schmirler: Faculty of Mechanical Engineering, Czech Technical University in Prague, Prague, Czech Republic
Jamaluddin Abdullah: ��School of Mechanical Engineering, Universiti Sains Malaysia, 14300 Nibong Tebal, Pulau Pinang, Malaysia
Mayur Pratap Singh: ��Department of Mechanical Engineering, School of Engineering, Galgotias University, Greater Noida, Uttar Pradesh 203201, India
Hamidreza Namazi: Faculty of Mechanical Engineering, Czech Technical University in Prague, Prague, Czech Republic†School of Mechanical Engineering, Universiti Sains Malaysia, 14300 Nibong Tebal, Pulau Pinang, Malaysia§Biomedical Signal & Image Processing Lab, Galgotias University, Greater Noida, Uttar Pradesh 203201, India¶Faculty of Science, University of South Bohemia, in České Budějovice, Czech Republic∥School of Engineering, Monash University Selangor, Malaysia

FRACTALS (fractals), 2025, vol. 33, issue 05, 1-9

Abstract: Fractal theory, renowned for its ability to model self-similar and complex patterns, introduces transformative capabilities to 3D printing. This paper explores the integration of fractal principles across various facets of additive manufacturing, including design optimization, material characterization, process enhancement, and quality assurance. Specifically, we demonstrate how fractal-based methods enable the creation of intricate, lightweight structures with superior strength-to-weight ratios, significantly improve material properties through precise microstructural control, and optimize process parameters to enhance printing accuracy and efficiency. By reviewing recent advancements, this study elucidates the role of fractal geometry in addressing challenges such as material efficiency, structural integrity, and manufacturing scalability. Future opportunities for fractal-based solutions in diverse industrial applications are also discussed, positioning fractal theory as a cornerstone for advancing additive manufacturing.

Keywords: Fractal Theory; 3D Printing; Additive Manufacturing; Design Optimization; Material Characterization; Process Optimization; Quality Control (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X2530003X

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