Xie Jiuming, Wang Shiyu, Cui Zhongbao, Wu Jin, Zhou Xuejun
School of Mechanical Engineering, Tianjin University, Tianjin 300350, China.
School of Mechanical Engineering, Tianjin Sino-Germen University of Applied Sciences, Tianjin 300350, China.
Materials (Basel). 2020 May 15;13(10):2277. doi: 10.3390/ma13102277.
The carbon-fiber-reinforced polymer (CFRP) is a mainstream material for lightweight products from the end of the 20th century to the present day. Its compression molding process has obvious advantages in mass production. This paper attempts to establish the constitutive models of compression molding of the CFRP materials and study their mechanism. Based on anisotropic linear elastic mechanics, viscoelastic mechanics, and thermodynamics, as well as the Maxwell viscoelastic constitutive model, we first establish the constitutive model of thermorheologically simple CFRP materials (TSMs). Then, considering the influence of temperature on the initial stiffness and equilibrium stiffness, the concept of temperature stiffness coefficient is introduced, and the Cartier coordinate system is converted into a cylindrical coordinate system, thereby establishing the constitutive model of thermorheologically complex materials (TCMs) using the tensor form. Finally, by comparing to the structure of the Zocher model, the two constitutive models established in this study are verified. The research findings have important theoretical research significance for studying the compression molding mechanism of carbon fiber and further improving the quality of product molding.
从20世纪末至今,碳纤维增强聚合物(CFRP)一直是轻量化产品的主流材料。其模压成型工艺在大规模生产中具有明显优势。本文试图建立CFRP材料模压成型的本构模型并研究其机理。基于各向异性线弹性力学、粘弹性力学和热力学,以及麦克斯韦粘弹性本构模型,我们首先建立了热流变简单CFRP材料(TSM)的本构模型。然后,考虑温度对初始刚度和平衡刚度的影响,引入温度刚度系数的概念,并将卡蒂埃坐标系转换为柱坐标系,从而用张量形式建立热流变复杂材料(TCM)的本构模型。最后,通过与佐赫尔模型的结构进行比较,验证了本研究建立的两种本构模型。研究结果对于研究碳纤维的模压成型机理以及进一步提高产品成型质量具有重要的理论研究意义。