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Multi-scale concurrent material and structural design under mechanical and thermal loads

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Abstract

In the present paper, multi-scale concurrent topology optimization of material and structural design under mechanical and thermal loads is considered. To this end, the Porous Anisotropic Material with Penalization (PAMP) model which includes both microscopic material density and macroscopic material density as design variables, is employed to distribute material on two length scales in an optimal way. Corresponding problem formulation and numerical solution procedures are also developed and validated through a number of numerical examples. It is found that the proposed method is effective for the solution of concurrent material and structural optimization problems. Numerical evidences also suggest that compared with solid material, porous material with well-designed microstructure may be a better choice when thermo-elastic effects are considered.

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Acknowledgments

The financial support for this research was provided by the Program (11372060, 91216201) of NSFC, the Major National Science and Technology Project (2011ZX02403-002), 111 project (B14013), Program for Chang Jiang Scholars and Innovative Research Team in University (PCSIRT), and Fundamental Research Funds for the Central Universities (DUT14LK30). These supports are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Dalian Univeristy of Technology, Dalian, China

    Jun Yan, Xu Guo & Gengdong Cheng

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  1. Jun Yan
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  2. Xu Guo
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  3. Gengdong Cheng
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Correspondence to Xu Guo.

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Yan, J., Guo, X. & Cheng, G. Multi-scale concurrent material and structural design under mechanical and thermal loads. Comput Mech 57, 437–446 (2016). https://doi.org/10.1007/s00466-015-1255-x

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  • DOI: https://doi.org/10.1007/s00466-015-1255-x

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