Abstract The work describes a model to predict the elastic constants of unidirectional carbon fiber reinforced shape memory polymer composites (SMPCs) with different fiber volume fractions within the temperature range of 293 K to 393 K. The model is based on a theoretical description of the phase transition of the shape memory polymer (SMP). Two glassy phase volume fraction functions are developed, one based on the Eyring equation, the other based on the normal distribution equation. The longitudinal and transverse moduli, axial and transverse shear moduli, and axial Poisson's ratio are derived by using the glassy phase volume fraction function and modified rule of mixture. The axial Poisson's ratio increases with the temperature increase, while the other four constants decrease nonlinearly with rising temperatures. An inverse identification of the elastic constants at different temperature via numerical and experimental modal analysis from a flat SMPC laminate shows that the model proposed is adequate to describe the temperature dependence of the elastic constants of the laminate.

中文翻译：

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单向碳纤维增强形状记忆聚合物复合材料中弹性常数的温度依赖性

摘要 该工作描述了一个模型，用于预测具有不同纤维体积分数的单向碳纤维增强形状记忆聚合物复合材料 (SMPC) 在 293 K 至 393 K 温度范围内的弹性常数。该模型基于相的理论描述形状记忆聚合物（SMP）的转变。开发了两个玻璃相体积分数函数，一个基于 Eyring 方程，另一个基于正态分布方程。利用玻璃相体积分数函数和混合物的修正规则，推导出纵向和横向模量、轴向和横向剪切模量以及轴向泊松比。轴向泊松比随温度升高而增大，而其他四个常数随温度升高呈非线性减小。