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L.L. Song¹, J. Zhao³, T. Gao^1,2, J.J Li¹, L. Tang¹, Y. Li¹ and W.H. Zhang¹

¹State IJR Center of Aerospace Design and Additive Manufacturing, School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, China
²Institute of intelligence material and structure, unmanned system technologies, Northwestern Polytechnical University, Xi’an, China
³Xi’an Aerospace Propulsion Institute, Xi’an, China

doi:10.4203/ccc.3.5.4

L.L. Song, J. Zhao, T. Gao, J.J Li, L. Tang, Y. Li, W.H. Zhang, "Maximum length scale control in density-based multi-material topology optimization", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 5.4, 2022, doi:10.4203/ccc.3.5.4

Keywords: topology optimization, multi-material, density-based, maximum length scale control.

Abstract

In this work, the method of the maximum length scale control is proposed for density-based multi-material topology optimization. The three-field approach of multi-material topology optimization is presented, which includes the density filter, the projection with Heaviside function, and the uniform multiphase materials interpolation (UMMI) scheme. Then, the local constraints are built by introducing porosity and aggregated by p-mean function to achieve maximum length scale control for the solid phase. Besides, three control schemes are studied and compared. The maximum length scale constraint for single solid phase (MaxLSC-S) and for entire solid phases (MaxLSC-U) are proposed. Based on them, the maximum length scale constraint with hybrid control scheme (MaxLSC-H) are presented. The proposed schemes realize the independent maximum length scale control of a certain material, the simultaneous control of multiple materials, and the maximum length scale control of the joints between two candidate materials. The optimization formulations and the sensitivity analysis of the related optimization responses are subsequently given. Numerical tests demonstrate that the proposed method can contribute to improving the manufacturability of length scale constrained designs and provides possibilities to achieve the desired properties on the design.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 3 PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and J. Kruis Paper 5.4 Maximum length scale control in density-based multi-material topology optimization L.L. Song¹, J. Zhao³, T. Gao^1,2, J.J Li¹, L. Tang¹, Y. Li¹ and W.H. Zhang¹ ¹State IJR Center of Aerospace Design and Additive Manufacturing, School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an, China ²Institute of intelligence material and structure, unmanned system technologies, Northwestern Polytechnical University, Xi’an, China ³Xi’an Aerospace Propulsion Institute, Xi’an, China doi:10.4203/ccc.3.5.4 Full Bibliographic Reference for this paper L.L. Song, J. Zhao, T. Gao, J.J Li, L. Tang, Y. Li, W.H. Zhang, "Maximum length scale control in density-based multi-material topology optimization", in B.H.V. Topping, J. Kruis, (Editors), "Proceedings of the Fourteenth International Conference on Computational Structures Technology", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 3, Paper 5.4, 2022, doi:10.4203/ccc.3.5.4 Keywords: topology optimization, multi-material, density-based, maximum length scale control. Abstract In this work, the method of the maximum length scale control is proposed for density-based multi-material topology optimization. The three-field approach of multi-material topology optimization is presented, which includes the density filter, the projection with Heaviside function, and the uniform multiphase materials interpolation (UMMI) scheme. Then, the local constraints are built by introducing porosity and aggregated by p-mean function to achieve maximum length scale control for the solid phase. Besides, three control schemes are studied and compared. The maximum length scale constraint for single solid phase (MaxLSC-S) and for entire solid phases (MaxLSC-U) are proposed. Based on them, the maximum length scale constraint with hybrid control scheme (MaxLSC-H) are presented. The proposed schemes realize the independent maximum length scale control of a certain material, the simultaneous control of multiple materials, and the maximum length scale control of the joints between two candidate materials. The optimization formulations and the sensitivity analysis of the related optimization responses are subsequently given. Numerical tests demonstrate that the proposed method can contribute to improving the manufacturability of length scale constrained designs and provides possibilities to achieve the desired properties on the design. download the full-text of this paper (PDF, 6 pages, 524 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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