复合材料的等效弹性性能  

EFFECTIVE ELASTIC PROPERTIES OF COMPOSITES

作　　者：陈作荣[1] 诸德超[1] 陆萌 

机构地区：[1]北京航空航天大学固体力学研究所,北京100083

出　　处：《复合材料学报》2000年第3期73-77,共5页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金!重点资助项目 ( 19932 0 30 )

摘　　要：用细观力学的分析方法研究了复合材料的宏观等效弹性性能。在严格满足组分相间界面的连续性条件下 ,正确反映了组分相间的相互作用 ,考虑了弹性张量各分量之间的相互关系 ,分析了层合介质的宏观等效弹性性能。进一步用统计平均的思想 ,得到了总体横观各向同性及总体各向同性复合材料的等效弹性性能的解析表达式。与有关的理论及实验结果比较 ,得到了非常满意的结果。Constitutive relationships for composites are investigated in micromechanics. The stress tensor and the strain tensor are decomposed into two orthogonal complementary parts, viz the in\|plane part and out\|of\|plane part, respectively. According to the fact that the in\|plane part of strain tensor and the out\|of\|plane part of stress tensor are continuous across a perfect interface, continuity at a perfect interface between phases is rigorously satisfied, and the interactions between phases are correctly considered. Under these conditions the effective elastic tensor of an n\|phase stratified media is analyzed as a whole. Furthermore, the analytical solutions of effective elastic properties of statistically transversely isotropic medium and statistically isotropic medium are obtained from the point of view of statistical averaging. The present theoretical results are in good agreement with related theoretical and experimental results for a two\|phase alloy system WC\|Co.

关 键 词：复合材料 弹性性能 等效模量 理想界面 统计 

分 类 号：TB33[一般工业技术—材料科学与工程] O343[理学—固体力学]