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Equivalent shear modulus of micro-nano thin-walled honeycomb under shear and torsion |
Received:September 23, 2020 Revised:January 05, 2021 |
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DOI:10.7511/jslx20200923001 |
KeyWord:thin-walled honeycomb equivalent shear modulus height effect scale effect modified couple stress theory |
Author | Institution |
贺丹 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
刘海洋 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 ;西安交通大学 机械结构强度与振动国家重点实验室, 西安 |
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Abstract: |
An analytical methodology to calculate the equivalent shear modulus of micro-nano thin-walled honeycomb under shear and torsion is presented.Height effect caused by constraint of the skin on the core layer and scale effect caused by the thickness of honeycomb cells in micro-nano scale is comprehensively considered.Firstly, a series of trigonometric functions are selected for the displacement of each cell wall, which can reflect the constraint and load condition of the skin.Then the modified couple stress theory is introduced to describe the scale effect.Finally, the equivalent shear modulus of honeycomb is obtained by energy homogenization method.A typical hexagonal honeycomb is taken as the illustrative example to show the whole calculation process.Results are compared with the data from published references.The variation trend of the equivalent shear modulus with core height and cell wall thickness under different load conditions is discussed, and the interaction between height effect and scale effect is discussed as well. |