Development of High-speed Simulator for Composite Structures based on Hierarchical Modeling and Its Verification

针对纤维、颗粒增强复合材料和多孔材料等不同类型的复合材料和结构，提出了一种结合渐近均匀化方法和有限元网格叠加法的多尺度计算方法。为了验证数值模拟结果与实验结果或实际复合材料常规数值结果的对比，还开发了一台大型高速模拟器。从对象材料的角度，分析了机织和针织织物增强塑料、颗粒增强金属基复合材料和多孔陶瓷等纺织增强聚合物基复合材料。对由单纤维、纤维束和宏观结构组成的纺织复合材料进行了分层建模。对纺织复合材料进行了强度评定和工艺模拟。特别是一种基于微结构的工艺…多点模拟是一种新的模拟技术，通过与实验结果的对比，验证了这一点。研究了聚合物基复合材料的两种制造工艺，一种是针织物增强热塑性塑料的深拉伸工艺，另一种是树脂传递模塑工艺的透气性预测。在包括强度评估在内的每一次模拟中，都考虑了损伤扩展、固液相互作用和大变形等复杂的非线性现象。对于多孔陶瓷，采用基于图像的建模技术对针状孔进行了三维建模。在一台标准的个人计算机上实际解决了一个有一百万个有限元的超大规模问题。从计算方法的角度出发，提出了一种新的微观非均质性分类，即全局非均质性和局部非均质性。采用渐近均化方法的均质材料模型可以代替整体的非均质性。用有限元网格叠加法可以直接模拟局部非均质性。最终提出的多尺度计算方法结合了上述两种方法。它使我们能够分析裂纹、空洞、夹杂物、界面和界面的微观应力，考虑了局部非均质性和整体行为之间的相互作用。较少

A novel multi-scale computational method using both the asymptotic homogenization method and the finite element mesh superposition method has been developed for various types of composite materials and structures including fiber and particulate reinforced composites and porous materials. In order to verify the numerical simulation via comparison with experimental results or conventional numerical results for real composite materials, a large-scale and high-speed simulator has also been developed.From the standpoint of object materials, textile reinforced polymer matrix composites such as woven and knitted fabrics reinforced plastics, particulate reinforced metal matrix composites and porous ceramics have been analyzed. A hierarchical modeling was applied to the textile composites consisting of single fibers, fiber bundles and macroscopic structures. The strength evaluation and the process simulation were carried out for the textile composites. Especially, a microstructure-based process … More simulation is a new technique, which was verified by the comparison with experimental result. Two types of manufacturing processes of polymer matrix composites were studied ; the one is deep-drawing of knitted fabric reinforced thermoplastics and other is the prediction of permeability for resin transfer molding process. In every simulation including the strength evaluation, complex nonlinear phenomena were considered including damage propagation, solid-fluid interaction and large deformation. Concerning the porous ceramics, the needle-like pores were three-dimensionally modeled using image-based modeling technique. A very large-scale problem with one million finite elements was solved practically on a standard personal computer. The predicted macroscopic properties which reflect the microstructures showed very good coincidence with the measured values.From the standpoint of the computational method, a new categorization of the microscopic heterogeneity was proposed, i.e., the global heterogeneity and the local heterogeneity. The global heterogeneity can be replaced by the homogenized material model using the asymptotic homogenization method. The local heterogeneity can be directly modeled using the finite element mesh superposition method. The finally proposed multi-scale computational method combines the above both methods. It enables us to analyze the microscopic stresses for cracks, voids, inclusions, interface and interphase, considering the interaction between the local heterogeneity and the global behaviors. Less