TY - JOUR
T1 - 一般宏观应力状态下凹角蜂窝结构的屈曲性能分析
AU - Zhou, Shiqi
AU - Hou, Xiuhui
AU - Deng, Zichen
N1 - Publisher Copyright:
© 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.
PY - 2023/1
Y1 - 2023/1
N2 - Based on the negative Poisson’s ratio effect of the re-entrant honeycomb, the finite element simulation of its buckling mechanical properties was carried out, and 2 buckling modes other than those of the traditional hexagonal honeycomb structures were obtained. The beam-column theory was applied to analyze the buckling strength and mechanism of the 2 buckling modes, where the equilibrium equations including the beam end bending moments and rotation angles were established. The stability equation was built through application of the buckling critical condition, and then the analytical expression of the buckling strength was obtained. The re-entrant honeycomb specimen was printed with the additive manufacturing technology, and its buckling performance was verified by experiments. The results show that, the buckling modes vary significantly under different biaxial loading conditions; the re-entrant honeycomb would buckle under biaxial tension due to the auxetic effect, being quite different from the traditional honeycomb structure; the typical buckling bifurcation phenomenon emerges in the analysis of the buckling failure surfaces under biaxial stress states. This research provides a significant guide for the study on the failure of re-entrant honeycomb structures due to instability, and the active application of this instability to achieve special mechanical properties.
AB - Based on the negative Poisson’s ratio effect of the re-entrant honeycomb, the finite element simulation of its buckling mechanical properties was carried out, and 2 buckling modes other than those of the traditional hexagonal honeycomb structures were obtained. The beam-column theory was applied to analyze the buckling strength and mechanism of the 2 buckling modes, where the equilibrium equations including the beam end bending moments and rotation angles were established. The stability equation was built through application of the buckling critical condition, and then the analytical expression of the buckling strength was obtained. The re-entrant honeycomb specimen was printed with the additive manufacturing technology, and its buckling performance was verified by experiments. The results show that, the buckling modes vary significantly under different biaxial loading conditions; the re-entrant honeycomb would buckle under biaxial tension due to the auxetic effect, being quite different from the traditional honeycomb structure; the typical buckling bifurcation phenomenon emerges in the analysis of the buckling failure surfaces under biaxial stress states. This research provides a significant guide for the study on the failure of re-entrant honeycomb structures due to instability, and the active application of this instability to achieve special mechanical properties.
KW - buckling mode
KW - negative Poisson’s ratio
KW - re-entrant honeycomb
UR - http://www.scopus.com/inward/record.url?scp=85147037419&partnerID=8YFLogxK
U2 - 10.21656/1000-0887.430202
DO - 10.21656/1000-0887.430202
M3 - 文章
AN - SCOPUS:85147037419
SN - 1000-0887
VL - 44
SP - 12
EP - 24
JO - Applied Mathematics and Mechanics
JF - Applied Mathematics and Mechanics
IS - 1
ER -