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Numerical evaluation of the coefficients of thermal expansion of fibers in composite materials using a lamina-scale cost function with quasi-analytical gradients

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Abstract

In this work, the coefficients of thermal expansion (CTEs) of fibers in composite materials that contain microstructures are numerically evaluated using a lamina-scale cost function with quasi-analytical gradients. To consider the effects of fiber arrangements and local defects, such as interface debonding and voids, a variety of representative volume elements are modeled with a number of finite element meshes. Then, the CTEs of fibers are evaluated by minimizing a lamina-scale cost function that represents the difference between the measured CTEs and the computed CTEs by means of a computational homogenization scheme for the composite lamina. The descent direction of the cost function is obtained using quasi-analytical gradients that take partial derivatives from prediction models, such as the Schapery model and Hashin model defined in an explicit manner, which accelerates the minimization procedure. To verify the performance of the proposed scheme in terms of accuracy and efficiency, the CTEs of constituents calculated using the proposed scheme in a unidirectional composite lamina are compared with experimental values reported in the literature. Furthermore, the convergence behavior of the proposed scheme with quasi-analytical gradients is also investigated and compared with other minimization methods.

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Author information

Authors and Affiliations

  1. Satellite Mechanical Department, Korea Aerospace Research Institute, 169-84 Gwahak-ro, Yuseong-gu, Daejeon, 305-806, Korea

    Jae Hyuk Lim

  2. Mechanical Engineering Department, École Nationale Supérieur des Mines de Saint-Étienne, 158, cours Fauriel, F-42023, Saint-Étienne cedex 2, France

    Jean-Baptiste Charpentier

  3. Division of Mechanical Engineering, College of Engineering, Korea Maritime and Ocean University, 727 Taejong-ro, Yeongdo-gu, Busan, 606-791, Korea

    Dongwoo Sohn

Authors
  1. Jae Hyuk Lim
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  2. Jean-Baptiste Charpentier
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  3. Dongwoo Sohn
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Corresponding author

Correspondence to Dongwoo Sohn.

Additional information

Recommended by Associate Editor Kyeongsik Woo

Jae Hyuk Lim received his B.S. degree in Mechanical Engineering from Inha University, Korea in 2000. He received his M.S. and Ph.D. degrees in Mechanical Engineering from the Korea Advanced Institute of Science and Technology (KAIST) in 2002 and 2006, respectively. He is currently a senior research engineer in the Satellite Mechanical Department, Korea Aerospace Research Institute. His research interests include finite element simulations, material modeling and characterization, and design and analysis of satellite structures.

Dongwoo Sohn received his B.S. degree from Hanyang University, Korea in 2006. He received his M.S. and Ph.D. degrees from the Korea Advanced Institute of Science and Technology (KAIST) in 2008 and 2011, respectively. He is currently an assistant professor in the Division of Mechanical Engineering, Korea Maritime and Ocean University. His research interests include numerical methods and computational mechanics.

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Lim, J.H., Charpentier, JB. & Sohn, D. Numerical evaluation of the coefficients of thermal expansion of fibers in composite materials using a lamina-scale cost function with quasi-analytical gradients. J Mech Sci Technol 29, 1187–1197 (2015). https://doi.org/10.1007/s12206-015-0231-x

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  • DOI: https://doi.org/10.1007/s12206-015-0231-x

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