Optimal fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach

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• 作者：Hamid Ghasemi (1)
  Roberto Brighenti (2)
  Xiaoying Zhuang (3)
  Jacob Muthu (4)
  Timon Rabczuk (1) (5)
  
  1. Institute of Structural Mechanics ; Bauhaus University Weimar (BUW) ; Marienstra脽e 15 ; 99423 ; Weimar ; Germany
  2. Department of Civil Engineering ; Environment and Architecture ; University of Parma ; Parco Area delle Scienze ; 181/A ; 43100 ; Parma ; Italy
  3. Department of Geotechnical Engineering ; College of Civil Engineering ; Tongji University ; 1239 Siping Road ; Shanghai ; 200092 ; China
  4. School of Mechanical ; Industrial and Aeronautical Engineering ; University of the Witwatersrand ; WITS ; 2050 ; Johannesburg ; South Africa
  5. Professor at BUW and School of Civil ; Environmental and Architectural Engineering ; Korea University ; Seoul ; South Korea
  
• 关键词：Reliability based design optimization (RBDO) ; Reliability analysis ; Fiber reinforced composite (FRC) ; Fiber distribution optimization ; NURBS
• 刊名：Structural and Multidisciplinary Optimization
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：51
• 期：1
• 页码：99-112
• 全文大小：2,217 KB
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• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Computer-Aided Engineering and Design
  Numerical and Computational Methods in Engineering
  Engineering Design
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1615-1488

文摘

A double stage sequential optimization algorithm for finding the optimal fiber content and its distribution in solid composites, considering uncertain design parameters, is presented. In the first stage, the optimal amount of fiber in a Fiber Reinforced Composite (FRC) structure with uniformly distributed fibers is conducted in the framework of a Reliability Based Design Optimization (RBDO) problem. In the second stage, the fiber distribution optimization having the aim to more increase in structural reliability is performed by defining a fiber distribution function through a Non-Uniform Rational B-Spline (NURBS) surface. The output of stage 1(optimal fiber content for homogeneously distributed fibers) is considered as the input of stage 2. The output of stage 2 is Reliability Index (RI) of the structure with optimal fiber content and optimal fiber distribution. First order reliability method in order to approximate the limit state function and a homogenization approach, based on the assumption of random orientation of fibers in the matrix, are implemented. The proposed combined model is able to capture the role of available uncertainties in FRC structures through a computationally efficient algorithm using all sequential, NURBS and sensitivity based techniques. Performed case studies show as an increase in model uncertainties yields to structural unreliability. Moreover, when system unreliability increases fiber distribution optimization becomes more influential.