复合材料的统计广义自洽模型、理论与方法研究

The generalized statistical self-consistent models and theories are.developed and the influence of reinforcement shapes on the macroscopic properties are reasonably formulated in a statistical sense. The models and theories are also extended to cover the mechanically and electrically coupling problems. Several rigorous and effective analytical and numberical methods are developed by combining.the Eshelby equivalent inclusion principle, theories on periodic and non-periodic Riemann boundary-value problems, conformal mapping and Laurent series expansion techniques. The very different sensitivity of the macroscopic properties of heterogeneous materials on microstructure parameters are revealed, which gives a.reasonable explanation of the accuracy difference in predicting various effective properties by micromechanics. Several valuable laws of heterogeneous materials are discovered. The relationship between the microgeometrical and phenomenological.damage variables is established. The outcome of the project provides a better understanding of the micormechanics of heterogeneous materials in coupling physical fields. The developed models, theories and computational methods are useful in.helping engineers to design micorstructures of new composite materials

研究复合材料细观力学的新型精化模型，按完备反映微结构特征的原则，发展内部结构可设计的细观单元，在统计平均的意义上，研究微结构复杂因素的简化与解耦模型，实现模型精确性与简单性统一，研究微结构优化的力学理论与方法，为新材料设计提供重要参考。解决几个未从理论上解决的经典问题。本项目对细观力学基础理论与实用方法研究有重要意义。