Equivalent mechanics modeling of typical negative Poisson’s ratio structure under different load boundaries

DOI:	10.11809/bqzbgcxb2024.02.018
Keywords:	concave hexagonal structure; negative Poisson’s ratio structure; equivalent mechanics; load boundary; bending deformation; finite element analysis
Abstract:	To explore the mechanical behavior of typical negative Poisson’s ratio structure (concave hexagonal structure) under different load boundaries, the theoretical model of elastic equivalent mechanics with different deformation characteristics was established based on the Euler beam theory, and the deformation process and the accuracy of the theoretical solution were verified through the finite element analysis. The results show that the deformation mode of the structure is different under different load boundaries, which are reflected as: the cross beam and the side walls occur the bending deformation under the uniform load; only the side walls deform during the plate load; the bending deformation is dominated by the cross beam during the concentrated load. The finite element analysis points out that the negative Poisson’s ratio effect with compression contraction can be realized after a large plastic deformation under the three load boundaries, and the negative Poisson’s ratio effect is the best during plate loading. The theoretical predicted value of the equivalent Poisson’s ratio is in good agreement with the finite element analysis results. The equivalent Poisson’s ratio in the elastic range is positive under uniform load, and has the largest negative value under plate load, and is near zero under concentrated load. This study provides potential solutions for the equipment such as solid rockets with the high lightweight demand.
Published:	2024-02-28
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