单向EMC层合板非线性弯曲行为
Nonlinear bending behavior of unidirectional EMC laminates
-
摘要: 对单向形状记忆聚合物复合材料(EMC)层合板在其基体玻璃化转变温度(Tg)之上的弯曲行为进行了研究。首先介绍了EMC层合板多约束弯曲变形实验, 并依据纤维微屈曲变形特征建立其形函数; 然后分析得出弯曲层合板的各分应变能及由其组成的总应变能; 在此基础上, 依据虚功原理, 通过总应变能推导出外力偶矩与曲率、 等效弯曲应变之间的非线性关系式。结果表明: 在EMC板的弯曲过程中, 中性层很快接近板的拉伸表面, 且中性层位置及板的弯曲行为对板的面内剪切模量非常敏感; 在板的初始弯曲阶段, 弯矩与曲率遵循传统单向板的线弹性弯曲理论; 而后随着曲率的增加, 弯矩与曲率关系遵循本研究所提出的非线性关系, 所得理论结果与EMC层合板的四点纯弯曲实验现象较为吻合。Abstract: A study was performed on the nonlinear bending behavior of unidirectional fiber-reinforced elastic memory composite (EMC) laminates above the glass transition temperature of its resin (Tg). A series of multi-constraint bending experiments about EMC laminates were firstly introduced. According to the experimental results, the shape function of microbuckled fibers was proposed. Different strain energies of EMC laminate under bending were then analyzed. Finally, the bending moment as functions of curvature and equivalent bending strain was deduced based on the principl of virtual work. The results show that the neutral strain surface of EMC laminates rapidly approaches the outer surface during the bending process. The neutral strain surface location and bending behaviour of EMC laminates are very sensitive to the in-plane shear modulus. At the initial stage, the traditional linear elastic plate theory can describe the deformation response. However, with further increase of the bending curvature, the nonlinear model presented in this study must be considered. The theoretical predictions are agreeable with experimental results of EMC laminates under four-point pure bending.