横观各向同性地基各向异性对应力场影响研究  

Influence of the Anisotropy of a Transversely Isotropic Foundation on Additional Stress Fields

作　　者：王炳军[1] 肖洪天[1] 党彦[2] 孙凌志[1] 

机构地区：[1]山东科技大学土木工程与建筑学院山东省土木工程防灾减灾重点实验室,山东青岛266590 [2]青岛滨海学院建筑工程学院,山东青岛266555

出　　处：《四川大学学报（工程科学版）》2015年第6期40-48,共9页Journal of Sichuan University (Engineering Science Edition)

基　　金：国家自然科学基金资助项目(41172242;51474135);山东科技大学人才引进科研启动基金项目资助(2013RCJJ033)

摘　　要：在重力的作用下,岩层和土层往往呈现横观各向同性。基于横观各向同性双材料基本解,发展了横观各向同性地基弹性场的分析方法,并编写了相应的Fortran程序。该方法能分析加载域为任意形状和荷载为非均匀分布的半无限地基问题,并且能获得很高的计算精度。采用建议方法分析了法向或切向均布力作用下平行与垂直层面方向的弹性模量、剪切模量和泊松比的各向异性对矩形基底中心点与角点下附加应力的影响。结果表明:弹性模量的各向异性仅对法向均布力时中心点与角点下的附加应力有明显影响;剪切模量的各向异性除对角点下平行层面的附加应力基本无影响外,其他均影响明显;泊松比的各向异性基本无影响。The transversely isotropic property of rock and soil layers can be shown in their deformation and strength properties because of the action of gravity. A numerical method and its corresponding Fortran codes were developed for assessing the additional stress and displacement fields in transversely isotropic foundation. The proposed method was based on the fundamental solutions for two joined transversely isotropic solids. The proposed method can be used for the analysis of half-space foundations with arbitrary loading areas and uniformly distributed loads,and very high computational accuracy can be obtained. The influence of anisotropy was analyzed on the additional stress below the rectangular base due to a normal or tangential load case. Results showed that the anisotropy of Poisson＇s ratio has almost no effect on the additional stress. The anisotropy of elastic modulus exerts an obvious influence only under a normal load case.Except for the additional stress parallel to the isotropy below the corner point,the anisotropy of shear modulus have an obvious influence.

关 键 词：各向异性 横观各向同性地基 附加应力 数值方法 

分 类 号：TU431[建筑科学—岩土工程]