等效介质理论在各向同性复合材料的弹性性能上的应用
EFECTIVE MEDIUM THEORY IN ELASTIC PROPERTIES OF ISOTROPIC COMPOSITE MATERIALS
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摘要: 本文介绍了我们不久前发展的一套应用于复合材料性能的等效(有效)介质理论,并且把它合理地扩展到研究二相各向同性复合材料的弹性性能。作为例子,我们计算了含球状空隙及含球状刚性微粒固体的剪切模量,得到这两个情况下模量与掺入物体积比的直接关系式。计算结果并与实验比较,得到很好的符合。Abstract: In this paper we first review a recent effective medium theory for composite materials properties.It is then suitably extended for the description of the elastic properties of isotropic binary composites.The formulation is used to study the shear modulus of a ccmposite with a dispersion of spheres,srecializing to the limiting cases of rigid and soft inclusions.Exact formulas for the two cases are obtained and compared with known experimental results.