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2019 | OriginalPaper | Buchkapitel

Minimization of the Effective Thermal Expansion Coefficient of Composite Material Using a Multi-scale Topology Optimization Method

verfasst von : Lidy Anaya, William Vicente, Renato Pavanello

Erschienen in: EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

Verlag: Springer International Publishing

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Abstract

This work proposes a methodology to design composite materials, considering two distinct materials phases and one void phase simultaneously, in order to minimize the thermal expansion coefficients. The design of composite material is treated as a topology optimization problem with a multi-material and multi-scale approach. The Bi-directional Evolutionary Structural Optimization method (BESO) is used to solve the optimization problem and the homogenization method is applied to obtain the equivalent properties for the designed material. In order to show the suitability of the implemented methodology, it is presented one example for the minimization of the homogenized thermal expansion coefficients considering a two-dimensional state of stress. A setting using two material phases, and void was performed resulting in an orthotropic material with thermal expansion less than 10% of the case composing the domain with any of the material phases used.

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Literatur
1.
Zurück zum Zitat Zhang, H., Baeyens, J., Degrève, J., Caceères, G.: Concentated solar power plants: Review and design methodology. Renew. Sustain. Energy Rev. 22, 466–481 (2013)CrossRef Zhang, H., Baeyens, J., Degrève, J., Caceères, G.: Concentated solar power plants: Review and design methodology. Renew. Sustain. Energy Rev. 22, 466–481 (2013)CrossRef
2.
Zurück zum Zitat Maslen, E.H., Schweitzer, G.: Magnetic Bearings Theory, Design, and Application to Rotating Machinery. Springer, Berlin (2009) Maslen, E.H., Schweitzer, G.: Magnetic Bearings Theory, Design, and Application to Rotating Machinery. Springer, Berlin (2009)
3.
Zurück zum Zitat Sigmund, O., Torquato, S.: Design of materials with extreme thermal expansion using a three-phase topology optimization method. J. Mech. Phys. Solids 45, 1037–1067 (1997)MathSciNetCrossRef Sigmund, O., Torquato, S.: Design of materials with extreme thermal expansion using a three-phase topology optimization method. J. Mech. Phys. Solids 45, 1037–1067 (1997)MathSciNetCrossRef
4.
Zurück zum Zitat Huang, X., Xie, M.: Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Comput. Mech. 43, 393 (2008)MathSciNetCrossRef Huang, X., Xie, M.: Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Comput. Mech. 43, 393 (2008)MathSciNetCrossRef
5.
Zurück zum Zitat Huang, X., Xie, Y.: Evolutionary Topology Optimization of Continuum Structures. Wiley, Hoboken (2010)CrossRef Huang, X., Xie, Y.: Evolutionary Topology Optimization of Continuum Structures. Wiley, Hoboken (2010)CrossRef
6.
Zurück zum Zitat Huang, X., Zhou, S., Xie, Y., Li, Q.: Topology optimization of microstructures of cellular materials and composites for macrostructures. Comput. Mater. Sci. 67, 397–407 (2013)CrossRef Huang, X., Zhou, S., Xie, Y., Li, Q.: Topology optimization of microstructures of cellular materials and composites for macrostructures. Comput. Mater. Sci. 67, 397–407 (2013)CrossRef
7.
Zurück zum Zitat Hassani, B.: A direct method to derive the boundary conditions of the homogenization equation for symmetric cells. Commun. Numer. Methods Eng. 12, 185–196 (1996)MathSciNetCrossRef Hassani, B.: A direct method to derive the boundary conditions of the homogenization equation for symmetric cells. Commun. Numer. Methods Eng. 12, 185–196 (1996)MathSciNetCrossRef
8.
Zurück zum Zitat Guedes, J.M., Kikuchi, N.: Preprocessing and postprocessing for materials based on the homogenization method with adaptative finite element methods. Comput. Methods Appl. Mech. Eng. 83, 143–198 (1990)CrossRef Guedes, J.M., Kikuchi, N.: Preprocessing and postprocessing for materials based on the homogenization method with adaptative finite element methods. Comput. Methods Appl. Mech. Eng. 83, 143–198 (1990)CrossRef
9.
Zurück zum Zitat Hassani, B., Hinton, E.: A review of homogenization and topology optimization I homogenization theory for media with periodic structure. Comput. Struct. 69, 707–717 (1998)CrossRef Hassani, B., Hinton, E.: A review of homogenization and topology optimization I homogenization theory for media with periodic structure. Comput. Struct. 69, 707–717 (1998)CrossRef
10.
Zurück zum Zitat Hassani, B., Hinton, E.: A review of homogenization and topology optimization II - analytical and numerical solution of homogenization equations. Comput. Struct. 69, 719–738 (1998)CrossRef Hassani, B., Hinton, E.: A review of homogenization and topology optimization II - analytical and numerical solution of homogenization equations. Comput. Struct. 69, 719–738 (1998)CrossRef
11.
Zurück zum Zitat Hassani, B., Hinton, E.: A review of homogenization and topology optimization III-topology optimization using optimality criteria. Comput. Struct. 69, 739–756 (1998)CrossRef Hassani, B., Hinton, E.: A review of homogenization and topology optimization III-topology optimization using optimality criteria. Comput. Struct. 69, 739–756 (1998)CrossRef
12.
Zurück zum Zitat Sigmund, O., Torquato, S.: Composites with extremal thermal expansion coefficients. Appl. Phys. Lett. 69, 3203–3205 (1996)CrossRef Sigmund, O., Torquato, S.: Composites with extremal thermal expansion coefficients. Appl. Phys. Lett. 69, 3203–3205 (1996)CrossRef
13.
Zurück zum Zitat Sigmund, O., Torquato, S.: Design of smart composite materials using topology optimization. Smart Mater. Struct. 8, 365–379 (1999)CrossRef Sigmund, O., Torquato, S.: Design of smart composite materials using topology optimization. Smart Mater. Struct. 8, 365–379 (1999)CrossRef
Metadaten
Titel
Minimization of the Effective Thermal Expansion Coefficient of Composite Material Using a Multi-scale Topology Optimization Method
verfasst von
Lidy Anaya
William Vicente
Renato Pavanello
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-97773-7_91

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