摘要
基于弹性界层中弹性波干涉理论,采用有效介质法,研究了剪切波在非均匀、纤维随机分布复合材料板中的传播,得到了非均匀弹性介质内的有效波数。通过满足弹性有界层的上、下边界条件,得到了非均匀界层中的频散方程。作为特例,绘出了不同参数下板中的前四阶频散曲线。可以看出,非均匀弹性有界层中的频散曲线和均匀界层中的有很大不同。最后分析了纤维和基体特性比、纤维的体积份数以及板厚与纤维半径比对频散曲线的影响。
Based on the constructive interference theory of elastic waves in elastic plate, employing effective medium method for random medium, the propagation of SH waves in a heterogeneous material plate with randomly distributed fibers is investigated. The effective wave number in the heterogeneous medium is presented. By satisfying the boundary conditions at the upper and lower surfaces of the layer, the dispersion relation in the elastic layer is obtained. As an example, the dispersion curves for the first four modes are graphically presented. It is shown that the dispersion curves in heterogeneous elastic layer are quite different from those in homogeneous elastic layer. The effects of the properties contrast ratio of fiber to matrix, the volume fraction of fibers and the ratio of the plate thickness to the radius of fibers on the dispersion curves in the plate are analyzed.
出处
《工程力学》
EI
CSCD
北大核心
2008年第2期66-70,共5页
Engineering Mechanics
基金
国家自然科学基金重点项目(10572045)
黑龙江省杰出青年基金项目(JC-09)
关键词
非均匀复合材料板
弹性波多重散射
圆柱纤维
频散方程
有效介质法
heterogeneous elastic layers
multiple scattering of elastic waves
cylindrical fiber
dispersion relations
effective medium method
