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Toward multiphysics multiscale concurrent topology optimization for lightweight structures with high heat conductivity and high stiffness using MATLAB

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Abstract

Structural light weighting is vital for increasing energy efficiency and reducing CO2 emissions. Furthermore, for many applications, high heat conductivity is necessary to attain efficient energy transfer while increasing the product stiffness and reducing the weight. In recent years, with the development of 3D printing technology, attention has been directed toward porous materials that greatly contribute to weight reduction. As such, this educational research is aiming toward introducing the methodology of concurrent multiscale topology optimization attaining designs of lightweight, high heat conductive, and stiff porous structures utilizing multi-objective optimization method. The normalized multi-objective function is used in this research to maximize heat conductivity and stiffness. Therefore, the objective criteria are consisting of heat and mechanical compliance minimization. Utilizing the SIMP method, the multiscale sensitivity analysis, and optimization formulation were driven theoretically using adjoint method to reduce the computational cost and presented in a MATLAB code. 2D cases were studied, and a proper Pareto front was attained. The results showed good coupling of the macro and microscale design. The MATLAB code is explained and included in the appendix and it is intended for educational purposes.

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Acknowledgements

A part of this work was supported by a Grant-in-Aid for Scientific Research awarded by the Japan Society for the Promotion of Science (JSPS), KAKEN of Grant Number JP21K03757.

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  1. Department of Advanced Science and Technology, Toyota Technological Institute, 2-12-1, Hisakata, Tenpaku-ku, Nagoya, Aichi, 468-8511, Japan

    Musaddiq Al Ali & Masatoshi Shimoda

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  1. Musaddiq Al Ali
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  2. Masatoshi Shimoda
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Correspondence to Musaddiq Al Ali.

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Replication of results

The concurrent multiscale optimization program consists of code written with MATLAB is included in this manuscript. The main findings of this research can be reproduced by utilizing the relevant formulations and choosing the similar design parameter as used in this work.

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Ali, M.A., Shimoda, M. Toward multiphysics multiscale concurrent topology optimization for lightweight structures with high heat conductivity and high stiffness using MATLAB. Struct Multidisc Optim 65, 207 (2022). https://doi.org/10.1007/s00158-022-03291-0

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