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Application of a layerwise theory for efficient topology optimization of laminate structure

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Abstract

This research applies a layerwise theory to topologically optimize laminate composite. As laminate composite structures are consisted of many thin layers, some limitations exist in analyzing and optimizing based on linear plate or shell theory. To overcome these limitations and problems, various layerwise theories have been developed. Thus, more accurate solutions can be efficiently obtained by these layerwise theories. In this research, one of the layerwise theory is applied to topologically optimize laminate structures. In the forward analysis for structural displacements, it is possible to efficiently conduct a numerical analysis and the sensitivity analysis in topology optimization. By solving several numerical examples, we observed that the directions of optimal layouts are different from each other depending on the type of load applied. Also, various design shapes were drawn to complement the difference in stiffness due to the rotation of each layer. In addition, an analysis of how the various combinations of angles and their position affect the stiffness was also discussed in this study.

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Correspondence to Gil Ho Yoon.

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Recommended by Associate Editor Kyeongsik Woo

Jong Wook Lee received his B.S. degree in Mechanical Engineering from Kyungpook National University, Daegu, Korea in 2010. He got his Ph.D. degree in the Department of Mechanical Engineering, Hanyang University. His research interests include topology optimization, static failure and dynamic failure, composite material.

Jong Jin Kim received his B.S. degree in Mechanical Engineering from Gangneung Wonju National University, Gangwon, Korea in 2017. He is currently a student at School of Mechanical Engineering, Hanyang University, Seoul, Republic of Korea. His research interests are topology optimization and composite material.

Heung Soo Kim received his B.S. and M.S. degrees in the Department of Aerospace Engineering from Inha University, Korea in 1997 and 1999, respectively. He got his Ph.D. degree in the Department of Mechanical and Aerospace Engineering from Arizona State University in 2003. He is now working a Professor in the Department of Mechanical, Robotics and Energy Engineering, Dongguk University. His main research interests are in biomimetic actuators and sensors, smart materials and structures as applied to aerospace structures and vehicles.

Gil Ho Yoon received his B.S. degree in Mechanical and Aerospace Engineering from Seoul National University in 1998. And he received his M.S. and Ph.D. degrees in Mechanical and Aerospace Engineering from Seoul National University in 2000 and 2004, respectively. Dr. Yoon is currently a Professor at School of Mechanical Engineering, Hanyang University, Seoul, Republic of Korea.

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Lee, J.W., Kim, J.J., Kim, H.S. et al. Application of a layerwise theory for efficient topology optimization of laminate structure. J Mech Sci Technol 33, 711–719 (2019). https://doi.org/10.1007/s12206-019-0125-4

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  • DOI: https://doi.org/10.1007/s12206-019-0125-4

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