This work provides a method to predict the three-dimensional equivalent elastic properties of the filament-wound composites based on the multi-scale homogenization principle. In the meso-scale, a representative volume element (RVE) is defined and the bridging model is adopted to establish a theoretical predictive model for its three-dimensional equivalent elastic constants. The results obtained through this method for the previous experimental model are compared with the ones gained respectively by experiments and classical laminate theory to verify the reliability of this model. In addition, the effects of some winding parameters, such as winding angle, on the equivalent elastic behavior of the filament-wound composites are analyzed. The rules gained can provide a theoretical reference for the optimum design of filament-wound composites.

这项工作提供了一种基于多尺度均质化原理预测长丝缠绕复合材料三维等效弹性特性的方法。在细观尺度上，定义了代表体积元（RVE），并采用桥接模型为其三维等效弹性常数建立了理论预测模型。将通过该方法获得的先前实验模型的结果与分别通过实验和经典层压理论获得的结果进行比较，以验证该模型的可靠性。此外，分析了某些缠绕参数（例如缠绕角度）对长丝缠绕复合材料等效弹性行为的影响。获得的规则可以为长丝缠绕复合材料的优化设计提供理论参考。