A three-dimensional semi-analytical solution of hygrothermal dynamic behavior for a FML structure subjected to moving laser heat source
A three-dimensional semi-analytical solution of hygrothermal dynamic behavior for a FML structure subjected to moving laser heat source
复制标题
移动激光热源作用下 FML 结构湿热动态行为的三维半解析解
DOI：
10.1080/15376494.2020.1804650
复制
发表时间：
2020
影响因子：
2.8
通讯作者：
NINGHUA GAO
中科院分区：
文献类型：
--
作者：
HAOJIE JIANG;JUNWEI LIAN;ZHAOHUI XU;YILI XIAO;XIAOGUI WANG;NINGHUA GAO
摘要本文首先推导了考虑湿热条件的三维本构方程，然后建立了控制方程。然后分别采用有限差分法和Newmark法在空间域和时间域求解湿热动力学方程组。最后，分析了湿化系数、纤维类型和纤维排列角度对FML结构湿热动力学行为的影响。FML结构的正应力幅值随着湿化系数的增大而增大，这是由于湿化系数先增大，纤维材料（S2-玻璃纤维环氧树脂和玻璃-聚合物）吸水量增大，体积膨胀量增大，FML结构的正应变和正应力随之增大。对于两种不同的FML结构（一种只考虑S2-玻璃纤维环氧树脂作为纤维层，另一种只考虑玻璃-聚合物），在工件尺寸相同的情况下，由于S2-玻璃纤维环氧树脂比玻璃-聚合物具有更大的密度和质量，前者具有更好的抵抗面内位移变形的能力。当温度较高时，0°/45°纤维取向的挠度分布受影响最大，纤维取向和层间相互作用是决定正应力量级的两个重要因素。
Abstract In present work, the three-dimensional constitutive equations considering hygrothermal conditions are derived firstly, and governing equations are established subsequently. Then the finite difference method and Newmark method are used to solve the hygrothermal dynamic equations in both space and time domains, respectively. Finally, the effects of moist coefficient, fiber type and fiber arrangement angle on the hygrothermal dynamic behaviors for the FML structures are analyzed. The amplitude of the normal stress for the FML structures increase with the increasing of the moist coefficient, which can be attributed to fact that the fiber materials (S2-glass fiber epoxy resin and glass-polymer) absorb more water and the volume expand greater when increasing the moist coefficient firstly, then the normal strain and normal stress of the FML structures increase subsequently. And for two different FML structures (one only considering S2-glass fiber epoxy resin for fiber layer and the other only considering glass-polymer) with the same workpiece sizes, the former FML structure has the better capability to resist deformation in the in-plane displacement as the S2-glass fiber epoxy resin is of greater density and mass than that of glass-polymer. The deflection profile of the 0°/45° fiber orientation is most affected when the temperature is high, both the fiber orientation and laminated interaction between the layers are two important factors determining the order of magnitude for normal stress.