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Tree-Like Fractal Structures Modeling and Their Application in 3D Printed Bones

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New Trends in Medical and Service Robotics (MESROB 2023)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 133))

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Abstract

Selective Laser Melting manufactured components can be modeled and built with internal structures (such as lattice), and these kinds of components have multiple applications in industry or biomechanics. The paper presents a mathematical model that generates tree-like fractal structures, that are intended as internal structures for Selective Laser Melting components. The mathematical model uses the language of homogeneous transformation matrices, and it is easily scalable (in terms of computing more complex tree-like fractals) due to its recursive nature. Numerical simulations are provided to show examples of fractals modeled with the proposed method. The use of fractals for internal structures is demonstrated on a CAD model of a femur bone.

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Acknowledgement

This work was supported by the project POCU/380/6/13/123927–ANTREDOC, “Entrepreneurial competencies and excellence research in doctoral and postdoctoral studies programs”, a project co-funded by the European Social Fund through the Human Capital Operationa. Furthermore, the infrastructure available from the European Development Fund and the Romanian Government through the Competitiveness Operational Programme 2014–2020, project ID P 34 466, MySMIS code 121349, contract no.5/05.06.2018 is highly acknowledged. The research was also supported by the DiCoMI Horizon 2020 project (778068—Directional Composites through Manufacturing Innovation).

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Correspondence to Anca Stanciu Birlescu .

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Stanciu Birlescu, A., Balc, N. (2023). Tree-Like Fractal Structures Modeling and Their Application in 3D Printed Bones. In: Tarnita, D., Dumitru, N., Pisla, D., Carbone, G., Geonea, I. (eds) New Trends in Medical and Service Robotics. MESROB 2023. Mechanisms and Machine Science, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-031-32446-8_40

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  • DOI: https://doi.org/10.1007/978-3-031-32446-8_40

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-32445-1

  • Online ISBN: 978-3-031-32446-8

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