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Engineering and Applied Sciences Optimization pp 267–288Cite as

Tailoring Macroscale Response of Mechanical and Heat Transfer Systems by Topology Optimization of Microstructural Details

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Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 38))

Abstract

The aim of this book chapter is to demonstrate a methodology for tailoring macroscale response by topology optimizing microstructural details. The microscale and macroscale response are completely coupled by treating the full model. The multiscale finite element method (MsFEM) for high-contrast material parameters is proposed to alleviate the high computational cost associated with solving the discrete systems arising during the topology optimization process. Problems within important engineering areas, heat transfer and linear elasticity, are considered for exemplifying the approach. It is demonstrated that it is important to account for the boundary effects to ensure prescribed behavior of the macrostructure. The obtained microstructures are designed for specific applications, in contrast to more traditional homogenization approaches where the microstructure is designed for specific material properties.

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Acknowledgments

Both authors were funded by Villum Fonden through the NextTop project, as well as the EU FP7-MC-IAPP programme LaScISO. The authors would like to thank Dr. Fengwen Wang for providing them with optimized periodic microstructural design of negative Poisson’s ratio material utilized as initial guess in the last example.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Technical University of Denmark, Kongens Lyngby, Denmark

    Joe Alexandersen & Boyan Stefanov Lazarov

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  1. Joe Alexandersen
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  2. Boyan Stefanov Lazarov
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Correspondence to Joe Alexandersen .

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Editors and Affiliations

  1. Institute of Structural Analysis & Seismic Research, National Technical University of Athens, Athens, Greece

    Nikos D. Lagaros

  2. Institute of Structural Analysis & Antiseismic Research, National Technical University of Athens, Athens, Greece

    Manolis Papadrakakis

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Alexandersen, J., Lazarov, B.S. (2015). Tailoring Macroscale Response of Mechanical and Heat Transfer Systems by Topology Optimization of Microstructural Details. In: Lagaros, N., Papadrakakis, M. (eds) Engineering and Applied Sciences Optimization. Computational Methods in Applied Sciences, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-319-18320-6_15

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  • DOI: https://doi.org/10.1007/978-3-319-18320-6_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18319-0

  • Online ISBN: 978-3-319-18320-6

  • eBook Packages: EngineeringEngineering (R0)

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