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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。
The flexural behavior of unidirectional memory composite polymer (EMC) laminates above their glass transition temperature (Tg) was investigated. Firstly, the multi-constraint bending deformation test of EMC laminates was introduced and the shape function was established according to the micro-buckling deformation of the fiber. Then, the sub-strain energy and the total strain energy of the bent laminate were obtained. Based on this, Based on the principle of virtual work, the nonlinear relationship between the moment of external force and the curvature and the equivalent bending strain is deduced from the total strain energy. The results show that during the bending process of the EMC plate, the neutral layer approaches the stretched surface of the plate quickly, and the neutral layer position and the bending behavior of the plate are very sensitive to the in-plane shear modulus of the plate. The bending moment and curvature follow the linear elastic bending theory of the traditional one-way slab. With the increase of curvature, the relationship between bending moment and curvature follows the nonlinear relationship proposed in this study. The theoretical results obtained are in good agreement with those of the four-point pure Bending experiment is more consistent.