含空心球复合材料有效模量的确定

DETERMINATION OF EFFECTIVE MODULI OF COMPOSITE OF HOLLOW SPHERES IN A MATRIX

用四相球模型确定了含空心球复合材料的有效模量性质，得到这类材料的有效体积模量和有效剪切模量同空心球体积比的关系．在各向同性材料的假设下也确定了材料的有效杨氏模量，并同Ｈｕａｎｇ等人给出的理论及实验结果进行了比较．

On the basis of equivalent media theory in composite mechanics,the effective moduli of a composite of hollow spheres in a matrix are determined by four phase spheroidal model.The relations of bulk modulus and shear modulus with the volume fraction of hollow spheres of a composite have been derived in this paper.For the isotropic material,the Young's modulus of material are also determined and the present results are compared with the experimental and theoretical data given by Huang et al.It has shown that the Young's modulus of composite predicted by the present model in the whole range of volume fraction of hollow spheres are nearer to experimental results than the Huang's model.In addition,by considering the effects of voids on properties of material,some better theoretical results which is quite agreement with experimental data can be obtained.