Cost Effective Design Procedure for Laminated Composite Structure Based on GA

Zako, Masaru; Takano, N.; Takeda, Norio; Tsujikami, Tetsuya

doi:10.1515/secm.1997.6.2.131

Cited by 10 publications

(4 citation statements)

References 2 publications

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“…3. Flowchart of the micro±macro coupled-design procedure applied to highly nonlinear problems, and it has been recognized that it works well for solving nonlinear problems, [18]. From a manufacturing viewpoint, a constrained optimum problem should also be considered in the practical design of microstructures.…”

Section: Optimization Methodsmentioning

confidence: 99%

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Integrated design of graded microstructures of heterogeneous materials

Takano

Zako

2000

Archive of Applied Mechanics

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This paper proposes a novel, integrated, computational design methodology of graded microstructures of heterogeneous materials for the emergence of macroscopic function. In the ®rst step of the design procedure, some discrete microstructures among a large number of graded microstructures are determined by the genetic algorithm as the optimization method. In this determination procedure, the homogenized modeling is adopted considering the micromacro coupling by the homogenization method. This method enables us to study complex microstructures. Homogenized properties such as elastic properties, coef®cient of thermal expansion and thermal conductivity can be calculated rigorously based on continuum mechanics. Calculated homogenized properties are stored in the micro-macro correlative database. The genetic algorithm can select the best geometrical arrangement of multiple microstructures from the pre-calculated database to construct the graded microstructure architecture. By using the database, the microscopic and macroscopic analyses are separated from each other, which reduces considerably the computational cost for the micro±macro coupled design. In the second step, continuously graded microstructures are designed using a feature-based 3D-CAD system by interpolating the discretized graded microstructures. In addition, a solid model is produced by the stereolithography technique to help in understanding the computationally designed complex microstructures. Brief descriptions of the formulation of the homogenization method for heat conduction and thermal stress problems are shown. A design problem for a plate with graded microstructures in its thickness direction is shown. The objective function for this example is the control of the wrap of the plate under the condition of temperature distribution.Key words Microstructure, heterogeneous materials, computational design, homogenization method IntroductionMultiscale modeling of heterogeneous materials in considering their micro-meso-macro structures is becoming a matter of interest to bridge the gap due to the length scale, [1±3]. In the ®eld of computational mechanics, there are many studies on the homogenization method. The micro±macro coupled problems are solved for heterogeneous materials in the framework of continuum mechanics. The method represents a mathematical theory ®rst developed in the early 1980s, [4±6]. In the 1990s, many pioneering works on the engineering applications of this method were published [7,8], studying metal matrix composite materials. The advantages of the homogenization method over the classical rule of mixture are that a complex shape of the microstructure can be considered, and that both effective (or homogenized) properties and

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Section: Optimization Methodsmentioning

confidence: 99%

“…The GA is adopted as the optimization method in this paper, because it can be applied easily to various nonlinear design problems, [18]. By using the pre-calculated database and by solving a macroscopic problem, optimum discrete microstructures are selected.…”

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confidence: 99%

Integrated design of graded microstructures of heterogeneous materials

Takano

Zako

2000

Archive of Applied Mechanics

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“…A downhill proceeding algorithm monotonically decreasing the value of an objective function may get stuck into a locally optimal design other than the globally optimal one. For this reason, some researchers preferred global search algorithms like genetic algorithms, 184,226,248,249,254,255,260,286,288,291,296,313,315,321,324,328,329,339,362,373,379,395,398,402,404,405,415,421,424,428,430,443,445,448,457,458,465,467,468,473,477,494,495,497,499–501,504,505,508,511,518,520,526,537,547– 549,552,555,558,563,…”

Section: Introductionmentioning

confidence: 99%

Optimum Design of Composite Structures: A Literature Survey (1969–2009)

Sonmez

2016

Journal of Reinforced Plastics and Composites

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Optimum structural design of composites is a research subject that has drawn the attention of many researchers for more than 40 years with a growing interest. In this study, a review of the literature on this subject is presented. The papers are classified according to the type of the composite structure optimized in those studies, the loading conditions, the objective function, the structural analysis method, the design variables, the constraints, the failure criteria, and the search algorithm used by the researchers.

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“…For the stacking sequence optimizations, Miki (1985) and Fukunaga and Chou (1988) proposed a graphical optimization method employing lamination parameters. Genetic algorithms are widely used to optimize the stacking sequence (Cho and Rhee, 2003;Kogiso et al, 1994;Le Riche and Haftka, 1993;Liu et al, 2000;Marcelin et al, 1995;Todoroki and Haftka, 1998;Todoroki and Sasai, 1999;Todoroki et al, 1995;Zako et al, 1997). Narita (2003) proposed a layer-wise optimization method, which has the lowest computational cost.…”

Section: Introductionmentioning

confidence: 99%

Self-Sensing Composites and Optimization of Composite Structures in Japan

Todoroki¹

2010

International Journal of Aeronautical and Space Sciences

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I review research on self-sensing and structural optimizations of laminated carbon/epoxy composites in Japan. Self-sensing is one of the multiple functions of composites; i.e., carbon fiber is used as a sensor as well as reinforcement. I present a controversial issue in self-sensing and detail research results. Structural optimization of laminated CFRP composites is indispensable in reducing the weights of modern aerospace structural components. I present a modified efficient global search method using the multi-objective genetic algorithm and fractal branch and bound method. My group has focused its research on these subjects and our research results are presented here.

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Cost Effective Design Procedure for Laminated Composite Structure Based on GA

Cited by 10 publications

References 2 publications

Integrated design of graded microstructures of heterogeneous materials

Integrated design of graded microstructures of heterogeneous materials

Optimum Design of Composite Structures: A Literature Survey (1969–2009)

Self-Sensing Composites and Optimization of Composite Structures in Japan

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