物理学报Issue(1)：016202-1-016202-13,13.DOI:10.7498/aps.63.016202
含定向非均匀体固体材料的横观各向同性有效弹性模量
Variation of effective elastic mo duli of a solid with transverse isotropy due to aligned inhomogeneities
摘要
Abstract
In this paper the effective or overall moduli of a solid containing aligned ellipsoidal inhomogeneties, are derived by making the scattered displacement field equal to that scattered by a spherical-shaped effective medium in the same matrix. It is shown that the obtained formulae of effective elastic moduli are of second-order accuracy at least. The effective moduli decrease monotonically with porosity, thus excluding the unphysical behavior in Hudson’s model in which there is an increase of moduli with porosity when the porosity goes beyond a certain threshold. By integration of inhomegeneity orientation angle, the effective moduli can be obtained for a solid with randomly orientated inho-mogeneities, which are the same as those in the Kuster-Toksöz model. Numerical calculations show that a rock with fluid-saturated inhomegeneities has a higher longitudinal wave modulus in the direction of TI symmetric axis than the modulus for a rock with empty inhomegeneities.关键词
有效弹性模量/弹性波散射/横观各向同性/孔隙介质Key words
effective elastic modulus/elastic wave scattering/transverse isotropy/porous medium引用本文复制引用
宋永佳,胡恒山..含定向非均匀体固体材料的横观各向同性有效弹性模量[J].物理学报,2014,(1):016202-1-016202-13,13.基金项目
国家自然科学基金(批准号:41174110,11372091)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant Nos.41174110,11372091) （批准号:41174110,11372091）
