Simultaneous optimisation of structural topology and material grading using level set method

P. D. Dunning; C. J. Brampton; H. A. Kim

doi:10.1179/1743284715Y.0000000022

Simultaneous optimisation of structural topology and material grading using level set method

P. D. Dunning^*
, C. J. Brampton
, H. A. Kim

^*Corresponding author for this work

Engineering

University of Bath

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

16 Downloads (Pure)

Abstract

The present paper introduces a new technique for simultaneously optimising the topology and continuous material distribution of a structure. Topology optimisation offers great potential for novel, improved structural designs and is an ideal design tool for additive manufacturing (AM) techniques. Level set based topology optimisation produces solutions with clear, smooth boundaries that can be directly fabricated using AM. Further benefits of AM may be realised by also optimising the material distribution within the structure. The sequential linear programming level set method is used to include material distribution design variables in the topology optimisation problem. This allows the topology and continuous material distribution to be optimised simultaneously. Several compliance minimisation problems are used to demonstrate the proposed approach.

Original language	English
Pages (from-to)	884-894
Number of pages	11
Journal	Materials Science and Technology
Volume	31
Issue number	8
DOIs	https://doi.org/10.1179/1743284715Y.0000000022
Publication status	Published - 14 May 2015

Funding

The authors acknowledge the support from Engineering and Physical Sciences Research Council, grant number EP/M002322/1. The authors would also like to thank the Numerical Analysis Group at the Rutherford Appleton Laboratory for their FORTRAN HSL packages (HSL, a collection of Fortran codes for large scale scientific computation; see http://www.hsl.rl.ac.uk/).

Keywords

Design for additive manufacture
Topology optimisation
Level set method
Graded material
manufacturing constraints
shape optimization
multiple materials
design

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10.1179/1743284715Y.0000000022Licence: CC BY-NC

Simultaneous optimisation of structural topology and material grading using level set method
This is an Open Access article distributed in accordance with the Creative Commons Attribution Non Commercial (CC BY-NC 3.0) license, which permits others to distribute, remix, adapt, build upon this work non-commercially, and license their derivative works on different terms, provided the original work is properly cited and the use is non-commercial. See: http://creativecommons.org/licenses/by-nc/3.0/
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Cite this

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abstract = "The present paper introduces a new technique for simultaneously optimising the topology and continuous material distribution of a structure. Topology optimisation offers great potential for novel, improved structural designs and is an ideal design tool for additive manufacturing (AM) techniques. Level set based topology optimisation produces solutions with clear, smooth boundaries that can be directly fabricated using AM. Further benefits of AM may be realised by also optimising the material distribution within the structure. The sequential linear programming level set method is used to include material distribution design variables in the topology optimisation problem. This allows the topology and continuous material distribution to be optimised simultaneously. Several compliance minimisation problems are used to demonstrate the proposed approach.",

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AB - The present paper introduces a new technique for simultaneously optimising the topology and continuous material distribution of a structure. Topology optimisation offers great potential for novel, improved structural designs and is an ideal design tool for additive manufacturing (AM) techniques. Level set based topology optimisation produces solutions with clear, smooth boundaries that can be directly fabricated using AM. Further benefits of AM may be realised by also optimising the material distribution within the structure. The sequential linear programming level set method is used to include material distribution design variables in the topology optimisation problem. This allows the topology and continuous material distribution to be optimised simultaneously. Several compliance minimisation problems are used to demonstrate the proposed approach.

KW - Design for additive manufacture

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KW - Level set method

KW - Graded material

KW - manufacturing constraints

KW - shape optimization

KW - multiple materials

KW - design

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Simultaneous optimisation of structural topology and material grading using level set method

Abstract

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Keywords

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