含有随机夹杂非均匀体的有效弹性模量

在对含有随机夹杂的非均匀体求有效弹性模量时,一般多根据Eshelby的等效夹杂法,但由于该方法没有充分考虑非均匀体内部的微结构,所以其理论具有一定的局限性。本文认为Kunin的微结构理论与Eshelby的等效夹杂法相比更具一般性,因而本文采用了文9]中一些合理的思想,摒弃了其中不合理的假设,并且建立了一种新的理论模型.最后,本文针对球夹杂的情况给出了非均匀体有效弹性模量依赖于夹杂体积份数的关系,并将该结果与文10]中的结果进行了比较.

The Effective Elastic Moduli of Inhomogeneous Media with Randomly Distributed Inclusions

Based on the principle of Eshelby's method, many scientists solve the effective elastic moduli of inhomogeneous media with randomly distributed inclusions, but since the method does not fully consider the microstructure of inhomogeneous media, the theory has the limitations. The author thinks Kunin's microstructure theory possesses the generalization as compared with Eshelby's method, hence some reasonable ideas of literature 9] are adopted, some reasonless hypotheses are discarded and a new mode] is established by the paper. Finally, the relations between the effective elastic moduli of inhomogeneous media and contents of inclusions, volume for spherical inclusions are given and the results are compared with ones of 10] in this paper.