六角形手性蜂窝的弹性屈曲( Elastic buckling of hexagonal chiral cell honeycombs )

F Scarpa S Blain T Lew D Perrott M Ruzzene JR Yates Theoretical or Mathematical, Experimental/ bifurcation buckling compressive strength elastic deformation finite element analysis honeycomb structures plastics Poisson ratio polymers stress effects/ elastic buckling hexagonal chiral cell honeycombs compressive strength flatwise compressive loading cellular structures noncentrosymmetric unit cells in-plane negative Poisson ratio tangent ligaments-connected cylinders elastic collapse stress nodes critical elastic load superposition nondimensional geometric unit cell parameters ligament-cylinder radius aspect ratio relative density core material properties finite element calculations shell elements brick elements periodic boundary conditions linear bifurcation buckling analysis flatwise compressive tests rapid prototyping sintered powders plastics polymeric material deformation/ A4630L Buckling and instability A4630C Elasticity A8140L Deformation, plasticity and creep A8140J Elasticity and anelasticity A6220F Deformation and plas

本文采用解析、数值和实验相结合的方法，对六角形手征蜂窝在平面压缩载荷作用下，由于单胞弹性屈曲而产生的抗压强度进行了研究。六角手征蜂窝是由非中心对称单胞组成的蜂窝结构，平面内泊松比(NPR)为1。由60°切线韧带连接的圆柱体组成单位细胞。在初始设计中，假定节点对弹性破坏应力的主要贡献，并考虑单元各构件临界弹性载荷的叠加，提出了近似解析模型。模型用无量纲几何晶胞参数（韧带与圆柱体的半径、纵横比和相对密度）和芯材性能表示。采用线性分岔屈曲分析方法，对周期边界条件的单胞模型进行了壳单元和砖单元的有限元计算。将解析和数值计算结果与用快速成型技术在PA烧结粉末和ABS塑料中制备的手性蜂窝试样进行的一系列平面压缩试验结果进行了比较。结果表明，两组结果具有良好的收敛性，并突出了六角形手征蜂窝细胞的特殊变形机制。

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