Topology optimization for continuous and discrete orientation design of functionally graded fiber-reinforced composite structures

Jaewook Lee, Dongjin Kim, Tsuyoshi Nomura, Ercan M. Dede, Jeonghoon Yoo

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper presents a topology optimization method for the sequential design of material layout and fiber orientation in functionally graded fiber-reinforced composite structures. Specifically, the proposed method can find the optimal structural layout of matrix and fiber materials together with optimal discrete fiber orientations. In this method, an orientation design variable in the Cartesian coordinate system is employed with a conventional density design variable. The orientation design variable controls not only the fiber orientation, but also fiber volume fraction. The fiber volume fraction control can be used to relax the orientation design problem and simultaneously design a functionally graded structural layout of fiber material. To avoid intermediate fiber orientations and achieve discrete fiber orientation design, a penalization scheme is applied to the orientation design variable. For solving the optimization problem which involves multiple design variables such as the density variable, fiber orientation variable, and target discrete orientation set, a three-step sequential optimization procedure is proposed. In this procedure, the result for each step provides the isotropic design, continuous fiber orientation design, and functionally graded discrete orientation design, respectively. To validate the effectiveness of the proposed approach, numerical examples for structural compliance minimization and compliant mechanism design are provided.

Original languageEnglish
Pages (from-to)217-233
Number of pages17
JournalComposite Structures
Volume201
DOIs
Publication statusPublished - 2018 Oct 1

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Shape optimization
Composite structures
Fibers
Fiber reinforced materials
Volume fraction
Compliant mechanisms

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

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title = "Topology optimization for continuous and discrete orientation design of functionally graded fiber-reinforced composite structures",
abstract = "This paper presents a topology optimization method for the sequential design of material layout and fiber orientation in functionally graded fiber-reinforced composite structures. Specifically, the proposed method can find the optimal structural layout of matrix and fiber materials together with optimal discrete fiber orientations. In this method, an orientation design variable in the Cartesian coordinate system is employed with a conventional density design variable. The orientation design variable controls not only the fiber orientation, but also fiber volume fraction. The fiber volume fraction control can be used to relax the orientation design problem and simultaneously design a functionally graded structural layout of fiber material. To avoid intermediate fiber orientations and achieve discrete fiber orientation design, a penalization scheme is applied to the orientation design variable. For solving the optimization problem which involves multiple design variables such as the density variable, fiber orientation variable, and target discrete orientation set, a three-step sequential optimization procedure is proposed. In this procedure, the result for each step provides the isotropic design, continuous fiber orientation design, and functionally graded discrete orientation design, respectively. To validate the effectiveness of the proposed approach, numerical examples for structural compliance minimization and compliant mechanism design are provided.",
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Topology optimization for continuous and discrete orientation design of functionally graded fiber-reinforced composite structures. / Lee, Jaewook; Kim, Dongjin; Nomura, Tsuyoshi; Dede, Ercan M.; Yoo, Jeonghoon.

In: Composite Structures, Vol. 201, 01.10.2018, p. 217-233.

Research output: Contribution to journalArticle

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