Nonlinear mechanics of a thin-walled honeycomb with zero Poisson’s ratio

Abstract

The nonlinear, in-plane mechanics of a thin-walled honeycomb with zero Poisson’s ratio under large deformation is investigated in this paper. A theoretical method for calculating in-plane tensile modulus, modified factors of linear constitutive relations of the honeycomb structures with zero Poisson’s ratio is proposed based on the theory of Euler-Bernoulli beam and the bending theory of beam in large deflection, and a finite element simulation is given to validate. In addition, parametric analysis for revealing the impacts of geometrical configurations and material parameters on in-plane mechanical properties of the honeycombs have been studied systematically. These findings suggest that geometric and/or material parameters provide different contributions to the effective mechanical properties and lead to a separate design for the in-plane mechanical properties. After that, the effects of geometric and/or material nonlinearities on mechanical properties of the honeycomb structures with zero Poisson’s ratio are revealed by considering the dimensionless tangent stiffness of the honeycombs.

Keywords:

• Thin-walled honeycomb structures
• zero Poisson’s ratio
• nonlinear mechanical properties
• parameter designs
• morphing application

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China under Grant number 11872207, Foundation of State Key Laboratory of Mechanics and Control of Mechanical Structures under Grant number MCMS-I-0520G01, Aeronautical Science Foundation of China under Grant number 0180952007, Foundation of National Key Laboratory on Ship Vibration and Noise under Grant number 614220400307 and Natural Science Foundation of Jiangsu Province under Grant number BK20200413. The National Key Research and Development Program of China under Grant number 2019YFA0708904.