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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• 作者：Jae Hyuk Lim (1)
  Jean-Baptiste Charpentier (2)
  Dongwoo Sohn (3)
  
  1. Satellite Mechanical Department ; Korea Aerospace Research Institute ; 169-84 Gwahak-ro ; Yuseong-gu ; Daejeon ; 305-806 ; Korea
  2. Mechanical Engineering Department ; 脡cole Nationale Sup茅rieur des Mines de Saint-脡tienne ; 158 ; cours Fauriel ; F-42023 ; Saint-脡tienne cedex 2 ; France
  3. Division of Mechanical Engineering ; College of Engineering ; Korea Maritime and Ocean University ; 727 Taejong-ro ; Yeongdo-gu ; Busan ; 606-791 ; Korea
  
• 关键词：Representative volume element (RVE) ; Inverse analysis ; Coefficient of thermal expansion (CTE) ; Quasi ; analytical gradient ; Unidirectional (UD) composite
• 刊名：Journal of Mechanical Science and Technology
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：29
• 期：3
• 页码：1187-1197
• 全文大小：2,744 KB
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• 刊物类别：Engineering
• 刊物主题：Mechanical Engineering
  Structural Mechanics
  Control Engineering
  Industrial and Production Engineering
  
• 出版者：The Korean Society of Mechanical Engineers
• ISSN：1976-3824

文摘

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.