考虑单向复合材料复杂微观结构的细化单胞模型  

REFINED GENERALIZED METHOD OF CELLS WITH COMPLEX MICRO-STRUCTURE OF UNIDIRECTIONAL COMPOSITES

作　　者：张博明[1] 唐占文[1] 赵琳[1] 

机构地区：[1]哈尔滨工业大学复合材料研究所,黑龙江哈尔滨150086

出　　处：《工程力学》2012年第11期46-52,共7页Engineering Mechanics

基　　金：国家973项目(2010CB631100)

摘　　要：通用单胞模型常被应用在复合材料细观力学分析上。但原始的通用单胞模型存在求解量大、计算效率低的问题。该文对其改进,建立了以子胞界面细观应力为未知量的细化单胞模型。利用该模型研究复杂的微观结构包括纤维截面形状/排列方式,界面相材料属性/几何厚度,夹杂/空隙对单向纤维复合材料宏观弹性常数的影响。通过与其他研究方法和试验数据对比证实了该预测模型具有更高的计算效率,计算精度和更广泛的普适性。该文模型子胞划分更细致,克服了原始通用单胞模型无法分析复杂微观结构的不足。有望将损伤力学引入该模型中建立一个有力的分析工具,来进行复合材料结构宏/细观多尺度损伤力学分析。A generalized method of cells is often used in the micromechanical analysis of composites. Large number of unknowns and lower computational efficiency are the shortcomings of the original generalized method of cells. Here, the original method is improved by a refined generalized method of cells of which unknowns are subcell tractions in this paper. The influences of fiber shape/arrays, interfacial elastic properties/geometric dimension, inclusion and voids on elastic constants of unidirectional composites are studied by the presented model. Higher computational efficiency, accuracy and universality have been demonstrated in comparison with other methods and experimental data. The presented model has refined discretization, overcoming the shortcoming of an original generalized method of cell that can＇t analyze a complex micro-structure. It is expected to provide a powerful tool for the macro/micro multi-scale damage analysis that will be achieved by introducing damage mechanics into the presented model.

关 键 词：复合材料 弹性常数 细化单胞模型 微观结构 多尺度 

分 类 号：TB332[一般工业技术—材料科学与工程] TB330.1