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| Methodology for calculating the in-plane equivalent modulus of micro-honeycomb core using the strain gradient theory |
| Received:June 26, 2021 Revised:October 09, 2021 |
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| DOI：10.7511/jslx20210626001 |
| KeyWord:micro-scale honeycomb strain gradient theory equivalent modulus scale effects |
| 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 |
| 刘圣乔 |
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 |
| 冯佳月 |
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 |
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| Abstract: |
| This paper proposes a new method for calculating the equivalent modulus of micro-nano honeycombs in which the scale effect is included.In this method,a single-parameter strain gradient theory is introduced into the constitutive equation,and the equivalent modulus of a honeycomb is derived based on the principle of energy equivalence.An example is given to demonstrate that this method can account for the influence of the scale effect when moduli are calculated.The scale effect is relevant to the thickness and length of the cell wall.When the cell wall is thin,the scale effect is significant.In this case,the modulus predicted by the method in this paper will be significantly higher than that determined by the traditional method.Meanwhile,when the cell wall is a thick plate,the scale effect becomes small or even negligible.However,if the length-thickness ratio of cell wall is large,the in-plane equivalent modulus will approach 0.In this case,there is no need to include the scale effect in the calculation of the modulus. |
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