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Topological Design of Negative Poisson’s Ratio Material Microstructure Under Large Deformation with a Gradient-Free Method
Pai Liu1,*, Weida Wu1, Yangjun Luo1, Yifan Zhang1
1 Dalian University of Technology, Dalian, 116024, China
* Corresponding Author: Pai Liu. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 25(2), 1-1. https://doi.org/10.32604/icces.2023.09893
Abstract
Lightweight metamaterials with negative Poisson’s ratios (NPRs) have great potential for controlling
deformation, absorbing energy, etc. The topology optimization [1] technique is an effective way to design
metamaterials. However, as studied in [2], the NPR metamaterial configuration obtained under small
deformation assumption may not maintain the desired Poisson’s ratio under relatively large deformation
conditions. This paper focuses on the large-deformation NPR metamaterial design based on a gradient-free
topology optimization method, i.e. the material-field series expansion (MFSE) method [3]. The
metamaterial’s performance is evaluated using the finite element method, taking into account the geometry
nonlinearity. By considering the spatial correlation of the microstructural topology, the MFSE method
significantly reduces the number of design variables. An optimization formulation is adopted to minimize
the error between the desired and the current metamaterial performances, taking advantage of the MFSE
topological parameterization. A two-step gradient-free optimization solution strategy based on the Kriging
surrogate model is suggested. Several target NPRs design problems are considered in the numerical
examples and the optimized metamaterial performances are checked with conformal mesh in the
commercial software. The numerical calculation results show that this method can generate metamaterials
that can maintain the required NPR well under large deformation conditions. This method does not require
the non-trivial sensitivity derivation in the current design scenario, and provides an alternative way to
design metamaterials with nonlinearities for engineers.
Keywords
Cite This Article
APA Style
Liu, P., Wu, W., Luo, Y., Zhang, Y. (2023). Topological design of negative poisson’s ratio material microstructure under large deformation with a gradient-free method. The International Conference on Computational & Experimental Engineering and Sciences, 25(2), 1-1. https://doi.org/10.32604/icces.2023.09893
Vancouver Style
Liu P, Wu W, Luo Y, Zhang Y. Topological design of negative poisson’s ratio material microstructure under large deformation with a gradient-free method. Int Conf Comput Exp Eng Sciences . 2023;25(2):1-1 https://doi.org/10.32604/icces.2023.09893
IEEE Style
P. Liu, W. Wu, Y. Luo, and Y. Zhang "Topological Design of Negative Poisson’s Ratio Material Microstructure Under Large Deformation with a Gradient-Free Method," Int. Conf. Comput. Exp. Eng. Sciences , vol. 25, no. 2, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09893