双周期电磁弹性纤维增强复合材料的纵向剪切问题

基金项目: 航空科学基金资助项目 ( 04G51050)

详细信息

PROBLEMS OF MAGNETOELECTROELASTIC COMPOSITES WITH DOUBLY PERIODIC FIBERS UNDER LONGITUDINAL SHEAR

Institute of Solid Mechanics, School of Aeronautics Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 利用等效夹杂法并结合双 (准) 周期解析函数理论,为双周期电磁弹性圆截面纤维复合材料的纵向剪切问题发展了实用有效的解析方法,获得了全场的级数解,给出了应力、电位移和磁感应强度的显式结果。利用数值算例讨论了该类非均匀材料微结构对其电磁弹性性能的影响。本文方法为电磁弹性复合材料的性能分析和微结构设计提供了一个实用有效的计算工具。
- 电磁弹性复合材料 /
- 等效夹杂法 /
- 双周期 /
- 细观力学
Abstract: An analytical method for the longitudinal shear problem of magnetoelectroelastic composites with double periodically distributed cylindrical fibers is presented by means of the Eshelb y’ s effective inclusion method, combining the theory of doubly periodic and quasi-periodic analytical functions. The solution in series is obtained. And explicit expressions for the stress, electric displacement and magnetic induction are derived.The influences of microstructure of such heterogeneous materials on its magnetoelectroelastic properties were discussed by the numerical examples. The present method provides an efficient tool for analyzing the magnetoelectroelastic properties and designing microstructure of composite materials.
- magnetoelectroelastic composites /
- effective inclusion method /
- double period /
- micromechanics