CFRP圆形胞元蜂窝芯层面外剪切模量
External shear modulus of CFRP circular cell honeycomb

为了减少卫星的热变形，将碳纤维增强树脂基复合材料（CFRP）材料圆管周期排布获得新型圆形胞元蜂窝芯层。考虑无论是Ressiner理论还是商业有限元软件ABAQUS，层合板计算热变形时，芯层的面外剪切模量均很重要，因此对CFRP圆形胞元蜂窝芯层的面外剪切进行了研究。分别从应力与应变的角度基于能量等效原理求出圆形胞元蜂窝芯层的面外剪切模量公式。以T300/环氧材料的工程常见铺层为例，比较基于ABAQUS软件计算所得剪切模量仿真解与公式计算所得理论解，其最大误差仅为10.4%，证实公式对于CFRP材料的适用性。同时用（±45°）2铺层的T300/环氧芯层完成双剪试验，试验结果与理论结果误差为24.1%，与前人研究的铝蜂窝面外剪切模量理论解与试验解的误差相近。最后通过仿真手段证实，24.1%的误差对整体夹层结构影响较小，说明公式具有良好的工程应用价值。为以后CFRP圆形胞元蜂窝芯层的设计提供重要基础。 To reduce the thermal deformation, the carbon fiber reinforced polymer(CFRP) circular cell honeycomb core was proposed and designed. The external shear modulus of the core, which plays an important role in calculating the thermal deformation of the sandwich structure based on Reissner theory or ABAQUS software, was discussed in present study. The analytical result of external shear modulus was given based on energy equivalent theory from the stress and strain. Taking the usual lay-up made of T300/epoxy for example, the finite element solution of core calculated by ABAQUS software was compared with the theoretical one, which demonstrates that the maximum error is 10.4%. Using core with (±45°)2 layup and made of T300/epoxy, the double-shear test was carried out. It proves that the error between the experimental and the theoretical solution is 24.1%, which is close to the error of honeycomb core in previous study. The final finite element analysis shows that the 24.1% error has less effect on the mechanical characteristics of whole sandwich structure. Accordingly, analytical expressions for external shear modulus are of great value for engineering application. All the analysis can help for the design of the CFRP circular cell honeycomb core in the future. 国家自然科学基金（51505294）