Microstructural design of composite materials using fixed-grid modeling and noise-resistant smoothed Kriging-based approximate optimization

This paper discusses a microstructural optimization of composites using a fixed-grid modeling technique and an approximate optimization approach. In particular, we design a microscopic structure of composites to improve its reliability. As the response surface becomes nonlinear and inaccuracies may...

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Bibliographic Details
Published inStructural and Multidisciplinary Optimization Vol. 36; no. 3; pp. 273 - 287
Main Authors Sakata, S., Ashida, F., Zako, M.
Format Journal Article
LanguageEnglish
Japanese
Published Berlin/Heidelberg Springer Science and Business Media LLC 01.09.2008
Springer-Verlag
Springer Nature B.V
Subjects
Approximation
Composite materials
Composite structures
Computational Mathematics and Numerical Analysis
Cross-sections
Design optimization
Engineering
Engineering Design
Fiber reinforced plastics
Kriging interpolation
Mathematical analysis
Neural networks
Noise
Nonlinear response
Plates (structural members)
Polymers
Polynomials
Reinforced plastics
Research Paper
Response surface methodology
Sampling
Theoretical and Applied Mechanics
Noise-resistant kriging method
Approximate optimization
Microstructural optimization
Fixed-grid modeling
Composite material
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Summary:This paper discusses a microstructural optimization of composites using a fixed-grid modeling technique and an approximate optimization approach. In particular, we design a microscopic structure of composites to improve its reliability. As the response surface becomes nonlinear and inaccuracies may be included in the sampling results in using the fixed-grid model, applicability of several approximation methods such as a polynomial-based approach, neural network, and Kriging method are investigated. Especially, the inaccuracy is regarded as a noise in sampling data, and applicability of the noise-resistant smoothed Kriging (ns-Kriging) is investigated. As an example, cross-sectional shape of fiber in a unidirectional fiber-reinforced plastics is optimized. By applying several approximate optimization methods to the problem, applicability of those methods is investigated. Next, cross-sectional shape of fibers in a composite plate subject to bending and compression is optimized using the ns-Kriging-based method. Numerical results illustrate applicability of the proposed approach.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-007-0162-y