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采用增强纤维周期分布模型,通过引入非均匀的本征应变并结合双准周期Riemann边值问题理论,将非均匀介质问题转化为均匀介质的周期本征应变问题,获得了反平面载荷作用下多涂层纤维复合材料纤维、各涂层和基体中弹性场的解析解答。与有限元、广义自洽和渐进均匀化等方法的比较显示了该文方法的精度。讨论了涂层厚度和刚度等材料微结构参数对界面应力集中系数和有效反平面剪切模量的影响。该文为研究多涂层复合材料界面效应提供了一个有效的分析工具。
The periodic fiber reinforced plastic model is used to transform the inhomogeneous medium problem into the periodic intrinsic strain problem of homogeneous medium by introducing the non-uniform intrinsic strain combined with the double quasi-periodic Riemann boundary value problem. Coated Fiber Composites Fibers, Analytical Solutions for Elastic Fields in Various Coatings and Substrates. Compared with the finite element, generalized self-consistent and progressive homogenization methods, the accuracy of the proposed method is demonstrated. The effects of the microstructure parameters such as coating thickness and stiffness on the interface stress concentration coefficient and the effective anti-plane shear modulus are discussed. This article provides an effective analytical tool for studying the interfacial effect of multi-coated composites.