Details
| Original language | English |
|---|---|
| Pages (from-to) | 463-473 |
| Number of pages | 11 |
| Journal | Computational Materials Science |
| Volume | 83 |
| Publication status | Published - 24 Dec 2013 |
| Externally published | Yes |
Abstract
This research deals with the optimization of short fibers distribution in continuum structures made of Fiber Reinforced Composite (FRC) by adopting an efficient gradient based optimization approach. Motivated by lack of non-heuristic and mesh independent optimization algorithms to obtain the optimum distribution of short fibers through a design domain, Non-Uniform Rational B-spline (NURBS) basis functions have been implemented to define continuous and smooth mesh independent fiber distribution function as well as domain discretization. Thanks to higher order (here quadratic) NURBS basis functions along with their compact support, a drastic reduction in computational time has been obtained by increasing mesh size while the accuracy of the model is maintained. Moreover combination of NURBS with sensitivity based optimization method allows a fast convergence to optimum fiber distribution layout. Minimization of elastic strain energy and maximization of fundamental frequency have been considered as objective functions for static and free vibration problems, respectively; to get the maximum fiber exploitation in the structural element. Nodal volume fraction of fiber was defined as the optimization design variable while a homogenization approach based on the random orientation of short fibers in the matrix has been adopted. Some numerical examples related to the structural response under static loading as well as the free vibration behavior are finally conducted to demonstrate the capability and reliability of the model.
Keywords
- Fiber distribution optimization, Fiber Reinforced Composite (FRC), NURBS, Objective function, Optimization
ASJC Scopus subject areas
- Computer Science(all)
- General Computer Science
- Chemistry(all)
- General Chemistry
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Computational Mathematics
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In: Computational Materials Science, Vol. 83, 24.12.2013, p. 463-473.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
AU - Ghasemi, Hamid
AU - Brighenti, Roberto
AU - Zhuang, Xiaoying
AU - Muthu, Jacob
AU - Rabczuk, Timon
N1 - Funding information: This work was supported partially by Marie Curie Actions under the Grant IRSES-MULTIFRAC and German federal ministry of education and research under the Grant BMBF SUA 10/042. Nachwuchsförderprogramm of Ernst Abbe foundation, the National Basic Research Program of China (973 Program: 2011CB013800), Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT, IRT1029) and Pujiang Program (12PJ1409100) and the research support provided by the Italian Ministry for University and Technological and Scientific Research (MIUR) is also acknowledged.
PY - 2013/12/24
Y1 - 2013/12/24
N2 - This research deals with the optimization of short fibers distribution in continuum structures made of Fiber Reinforced Composite (FRC) by adopting an efficient gradient based optimization approach. Motivated by lack of non-heuristic and mesh independent optimization algorithms to obtain the optimum distribution of short fibers through a design domain, Non-Uniform Rational B-spline (NURBS) basis functions have been implemented to define continuous and smooth mesh independent fiber distribution function as well as domain discretization. Thanks to higher order (here quadratic) NURBS basis functions along with their compact support, a drastic reduction in computational time has been obtained by increasing mesh size while the accuracy of the model is maintained. Moreover combination of NURBS with sensitivity based optimization method allows a fast convergence to optimum fiber distribution layout. Minimization of elastic strain energy and maximization of fundamental frequency have been considered as objective functions for static and free vibration problems, respectively; to get the maximum fiber exploitation in the structural element. Nodal volume fraction of fiber was defined as the optimization design variable while a homogenization approach based on the random orientation of short fibers in the matrix has been adopted. Some numerical examples related to the structural response under static loading as well as the free vibration behavior are finally conducted to demonstrate the capability and reliability of the model.
AB - This research deals with the optimization of short fibers distribution in continuum structures made of Fiber Reinforced Composite (FRC) by adopting an efficient gradient based optimization approach. Motivated by lack of non-heuristic and mesh independent optimization algorithms to obtain the optimum distribution of short fibers through a design domain, Non-Uniform Rational B-spline (NURBS) basis functions have been implemented to define continuous and smooth mesh independent fiber distribution function as well as domain discretization. Thanks to higher order (here quadratic) NURBS basis functions along with their compact support, a drastic reduction in computational time has been obtained by increasing mesh size while the accuracy of the model is maintained. Moreover combination of NURBS with sensitivity based optimization method allows a fast convergence to optimum fiber distribution layout. Minimization of elastic strain energy and maximization of fundamental frequency have been considered as objective functions for static and free vibration problems, respectively; to get the maximum fiber exploitation in the structural element. Nodal volume fraction of fiber was defined as the optimization design variable while a homogenization approach based on the random orientation of short fibers in the matrix has been adopted. Some numerical examples related to the structural response under static loading as well as the free vibration behavior are finally conducted to demonstrate the capability and reliability of the model.
KW - Fiber distribution optimization
KW - Fiber Reinforced Composite (FRC)
KW - NURBS
KW - Objective function
KW - Optimization
UR - http://www.scopus.com/inward/record.url?scp=84890815467&partnerID=8YFLogxK
U2 - 10.1016/j.commatsci.2013.11.032
DO - 10.1016/j.commatsci.2013.11.032
M3 - Article
AN - SCOPUS:84890815467
VL - 83
SP - 463
EP - 473
JO - Computational Materials Science
JF - Computational Materials Science
SN - 0927-0256
ER -