基于本构均一化理论的多层复合材料流固耦合等效分析方法

Equivalent analysis method of fluid-structure coupling for multilayer composites based on constitutive homogenization theory

为缓解多层复合材料在流固耦合模拟中计算效率和精度间的矛盾,基于本构均一化理论提出了多层复合材料的等效方法,并结合开源工具preCICE检验了该方法在恒定、时变2种流体边界条件下流固耦合的准确性和计算效率。结果表明:与直接分层模拟相比,等效方法的误差处于合理范围内,且即使忽略等效模型带来的固体单元数量减少的收益,计算效率也有显著提升;恒定流体边界下耦合仿真结果相对误差小于5%,耦合迭代效率提高20%;时变流体边界耦合场景中相对误差小于10%,耦合迭代效率提高40%。

To alleviate the contradiction between the efficiency and accuracy of the composite material in the fluid-structure interaction(FSI) simulation, an equivalent method of the composite material is proposed based on the constitutive homogenization theory, and the iterative algorithm of FSI is explained. The open-source tool preCICE is used to verify the accuracy and efficiency of this method in terms of FSI analysis under both constant and time-varying fluid boundary conditions. The results show that the error of the equivalent method is within a reasonable range compared with the direct layered simulation, and even if the benefits of reducing the number of solid elements brought by the equivalent method are ignored, the calculation efficiency is still significantly improved;the relative error of simulation results under constant fluid boundary conditions is less than 5%, and the coupling iteration efficiency is increased by 20%;the relative error of the coupling scenario under time-varying fluid boundary is less than 10%, and the coupling iteration efficiency is increased by 40%.