高体积含量颗粒增强复合材料的一个细观力学模型 Ⅰ:弹性分析与等效模量  

MICROMECHANICAL MODEL FOR COMPOSITES REINFORCED BY LARGE VOLUME FRACTION OF PARTICLES Ⅰ: ELASTIC ANALYSIS AND EFFECTIVE MODULUS

作　　者：周储伟[1] 

机构地区：[1]南京航空航天大学航空宇航学院,南京210016

出　　处：《复合材料学报》2005年第4期125-130,共6页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金(10472045)

摘　　要：提出了一种高体积含量颗粒增强复合材料的细观力学模型。该模型将颗粒简化为同质、同尺寸的弹性圆球,两颗粒之间的粘接材料(基体)简化为连接颗粒的一段圆柱体,假设了圆柱形基体中的细观位移分布形式,在此基础上分析了一对颗粒之间弹性的细观应力场和细观弹性系数,将颗粒对的细观弹性系数在空间各个方向上平均,得到材料的宏观弹性常数,并建立了宏、细观分析之间的联系。最后用本模型分析了一种实际材料(两种体积含量),弹性常数的预测与实验吻合良好,研究还发现颗粒的空间分布方式对材料宏观弹性常数的影响不大,而对细观应力的影响显著。A micro-mechanical elastic analysis of composhes reinforced by a large volume fraction of particles is pursued. A simplified microstructure model has been suggested. The particles are assumed to be spheres linked by short cylinders of matrix material. The displacement components are assumed to be linearly distributed along the axial direction of matrix cylinders. Micro stresses and micro elastic constants of a two-particle combination are first deduced for tensile and shear loading cases. Macro elastic constants for the composite are then obtained by averaging the micro elastic constanls in various special directions. Thus a relation between micro and macro analyses is constructed. The model is applied to a metal matrix composite with two different particle volume fractions. The predicted elastic properties agree well with the experiment results. The analysis also reveals that the effect of the particle packing pattern on the macro elastic properties is trivial; however, the distrihution of micro stresses in different packing patterns varies significantly.

关 键 词：颗粒增强复合材料 细观力学 平均化方法 等效模量 

分 类 号：TB330.1[一般工业技术—材料科学与工程]