Abstract An analytical model is developed to investigate the in-plane mechanical properties of a thin-walled honeycomb structure. Nonlinear constitutive relations of honeycombs are presented based on in-plane large deformation analysis of a beam; elastic and plastic behaviors are both considered. These relations reflect the dependence of the equivalent stress, equivalent Young's modulus, and equivalent Poisson's ratio on deformation. Numerical simulation results indicate the effectiveness of the proposed method. Paramatric study is then conducted to investigate the effects of structural and material parameters on the honeycomb structure which is valuable for honeycomb structure design.

中文翻译：

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薄壁蜂窝结构的非线性本构关系

摘要 开发了一种分析模型来研究薄壁蜂窝结构的平面内力学性能。基于梁的面内大变形分析，给出了蜂窝的非线性本构关系；弹性和塑性行为都被考虑。这些关系反映了等效应力、等效杨氏模量和等效泊松比对变形的依赖性。数值模拟结果表明了该方法的有效性。然后进行参数研究以研究结构和材料参数对蜂窝结构的影响，这对蜂窝结构设计很有价值。