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Optimisation of Porous 2D PhPs: Topology Refinement Study and Other Aspect Ratios

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Abstract

In this chapter, an improved optimisation framework is employed for topology optimisation of PhPs and a topology refinement study is performed. The void elements of topology and relevant boundary conditions are excluded from FEM solution stage for faster fitness evaluation. Special mutation and repair operations are also implemented to smoothen the exterior boundaries of topologies and to avoid checkerboards during refinement stage.

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References

  • Guest, J. K., Prévost, J., & Belytschko, T. (2004). Achieving minimum length scale in topology optimization using nodal design variables and projection functions. International Journal for Numerical Methods in Engineering, 61(2), 238–254.

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  • Guest, J. K., & Smith Genut, L. C. (2010). Reducing dimensionality in topology optimization using adaptive design variable fields. International Journal for Numerical Methods in Engineering, 81(8), 1019–1045.

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Correspondence to Saeid Hedayatrasa .

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Hedayatrasa, S. (2018). Optimisation of Porous 2D PhPs: Topology Refinement Study and Other Aspect Ratios. In: Design Optimisation and Validation of Phononic Crystal Plates for Manipulation of Elastodynamic Guided Waves. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-72959-6_6

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  • DOI: https://doi.org/10.1007/978-3-319-72959-6_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-72958-9

  • Online ISBN: 978-3-319-72959-6

  • eBook Packages: EngineeringEngineering (R0)

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