Abstract: The Schoen Gyroid (G), Schoen IWP, and Schwarz Primitive (P) porous structures, which fall under the category of complex triply periodic minimal surface (TPMS) architectures, exhibit various applications connecting physical and mechanical domains. These intricately designed structures, inspired by nature, are increasingly gaining attention due to their ability to meet both biological and mechanical requirements. This study also assesses the mechanical properties of G, IWP, and P printed from biodegradable Polyamide (PLA) material with or without fiber reinforcements. The processing parameters and manufacturability of fiber-reinforced PLA composite TPMS structures using the stereolithography (SLA) printing technique are considered. The present study aims to develop bioinspired lattice structures with minimal surface area and evaluate their load-bearing properties through axial compression simulations and experimental analyses. Their stiffnesses and damage behaviors with or without short fiber reinforcement are thoroughly examined. All the TPMS samples are designed using an in-house MATLAB code and analyzed through multiscale homogenization based on the finite element method. Utilizing a preconditioner to solve this homogenization method produces significant computational time savings, especially when analyzing these intricate geometries. Furthermore, using this research framework, TPMS-based bioinspired structures can be designed and fabricated more efficiently, broadening their application to engineering as well as bio-applications. In summary, we also present insights into future considerations and recommendations for further advancements in this field.

Biography: Prof. Hung Nguyen Xuan (H. Nguyen-Xuan) is the Director of CIRTech Institute, HUTECH University, Vietnam. He is an adjunct professor at China Medical University (Taiwan) and a visiting professor at Sejong University (South Korea). He is the President of Ho Chi Minh City Association for Mechanics. He serves as an editorial board member of Composite Structures, Journal of Micromechanics and Molecular Physics, Underground Space, Computers & Structures, Engineering Fracture Mechanics and CMC: Computers, Materials & Continua, and Editor of CMES: Computer Modeling in Engineering & Sciences, Associate Editor: Vietnam Journal of Mechanics, International Journal of Hydromechatronics, and Editor-in-Chief of Materials and Emerging Technologies for Sustainability. Dr. Nguyen-Xuan received his Ph.D. in Computational Engineering from The University of Liège (Belgium) in 2008. His research focuses on advanced computational methods in engineering, data-driven machine learning modeling, sustainable materials design, and 3D printing. He has led as PI and Co-PI of 4 international projects (01 Vlirous-Belgium, 01 Horizon2020-EU, 02 Humboldt foundation-Germany) together with several national and industrial projects. Dr Nguyen-Xuan authored 01 patents and 01 certificate of trademark registration and published more than 290 peer-reviewed papers indexed in WoS. He is the founder and director of the deep additive manufacturing lab https://cloud.ht3dprint.com. His remarkable work has earned him recognition for nine consecutive years in the top 1% of highly cited influential scientists of Thomson Reuters and Clarivate: from 2014 to 2021 in the category of Computer Science and 2022 in the Cross-field category. Dr. Nguyen-Xuan earned several prestigious awards: Alexander von Humboldt Foundation Digital Cooperation Fellowship (2021), outstanding Humboldtian (2019), Georg Forster Research – Alexander von Humboldt (2015), Vietnam National University HCMC (2008 – 2013), and Nguyen Van Dao (2011).

Abstract: The primary objective of this study is to enhance the game-theoretical approach for the optimization of structural design in contexts characterized by uncertainty regarding external loads. The game formulation finds application in game structural optimization with distributed control functions. A game on a unit square necessitates a minimum of two levels due to the fundamental requirement of the optimization process. These levels are designated as the substratum and superstratum levels of the stratified game. At the substratum level, the optimization criterion functions as the payoff function, with "ordinal players" striving to minimize or maximize the respective payoff functions. The strategies employed by these "ordinal players" are constrained by limited resources, and the value of the substratum game on the unit square is reflected in these strategies. At the upper substratum level, the value of the game is contingent upon the design parameters. The "designer," or cardinal player, exerts control over these design parameters. In the event of multiple cardinal players with conflicting objectives, the game task resolves their interests. Conversely, in the event of a sole cardinal player, the search for the extremum of the value of the superstratum game reduces to conventional optimization. The lecture presents some representative solutions for game optimization formulations in matrix convention.

Biography: Vladimir Kobelev, Dr. rer. nat. habil, received the title of Dipl.-Physicist in 1982 and his PhD in 1984 at the Faculty of Aerophysics and Space Research, Moscow Institute of Physics and Technology, Dolgoprudny, Russia.
Since 2000 he has been a private lecturer and APL professor at the Department of Mechanical Engineering at the University of Siegen, Germany.
Author of the works: “Fundamentals of Spring Mechanics” (Springer, 2024), “Fundamentals of structural optimization. Stability and contact mechanics” (Springer, 2023), “Fundamentals of Structural Optimization (II).Shape, Anisotropy, Topology” (Springer, 2024) and “Design and Analysis of Composite Structures for Automotive Applications” (Wiley, 2019). https://orcid.org/0000-0002-2653-6853
https://www.researchgate.net/profile/Vladimir-Kobelev