横观各向同性饱和土中柱面载荷的动力Green函数  

DYNAMIC GREEN'S FUNCTION FOR INTERNAL BARREL LOADS IN TRANSVERSELY ISOTROPIC SATURATED SOILS

作　　者：王小岗[1] 

机构地区：[1]台州学院建筑工程学院,浙江台州318000

出　　处：《力学学报》2010年第5期909-918,共10页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(50678108);浙江省自然科学基金(Y106264)资助项目~~

摘　　要：基于饱和介质的三维波动理论的Biot模型,利用Fourier展开和Hankel变换,并借助算子理论,给出了圆柱坐标系下横观各向同性饱和土波动方程的非轴对称通解;利用通解,建立了饱和土层及饱和半空间的精确动力刚度矩阵;借助刚度矩阵,给出层状横观各向同性饱和地基中,作用沿土层深度方向分布的竖向和水平柱面载荷时的动力Green函数,进而解决了利用间接边界元法分析桩-饱和土动力相互作用的关键问题.The key problem in analyzing dynamic interaction between saturated soils and structure by indirect boundary element method is to obtain dynamic Green＇s function of a stratum.In recent years,many scholars devoted to exploring a variety of solutions to dynamic Green function in different stratums,and made some important achievements.However,most isotropic saturated soil models were utilized to simulate the saturated ground because of the complexity of mechanical model of media,and little attention had been paid for the transversely isotropic saturated soil ground model,which may be more reasonable for the saturated soil derived from natural marine deposit or lake deposit.The author have systematically explored the 3-D non-axisymmetric Lamb＇s problem in transversely isotropic saturated media and analyzed the effects of the anisotropic parameters of media on its dynamic response of the displacement,stress and pore fluid pressure,respectively.The objective of this paper is to study dynamic green function for internal barrel loads in transversely isotropic saturated soils.Based on Biot＇s 3-D wave theory for fluid-saturated porous media,the nonsymmetrical general solutions for wave equations of transversely isotropic saturated soils in cylindrical coordinate are presented by the Fourier expanding and Hankel integral transform method as well as operator theory.Then,using general solutions,a layered saturated stiffness matrix and a saturated half-space stiffness matrix are derived exactly.Furthermore, the dynamic Green＇s functions for internal barrel distributed vertical load and horizontal loads in layered transversely isotropic saturated soils are presented,respectively,thus a key problem to analyze dynamical interaction between saturated soils and piles in boundary element method is solved.

关 键 词：横观各向同性 饱和土 BIOT波动方程 GREEN函数 柱面载荷 

分 类 号：TU435[建筑科学—岩土工程]