粘弹性饱和介质中圆形孔洞的动力响应
刘干斌1,胡茂刚2,梁仕华1
1.浙江大学岩土工程研究所，浙江杭州310027;2.江苏省交通工程总公司，江苏镇江212008
DYNAMIC RESPONSE OF A CIRCULAR CAVITY IN POROVISCOELASTIC MEDIUM
LIU Gan-bin1,HU Mao-gang2,LIANG SHi-hua1
1.Institute of Geotechnical Engineering, Zhejiang University;2. jiangsu Provincial Communications Engineering Corporation
摘要 本文研究分析了粘弹性饱和介质中圆形孔洞在轴对称荷载和流体压力作用下的动力响应问题。利用 Carcione提出的本构模型来描述介质的流变和松驰性质。通过引人势函数，在拉普拉斯变换域中得到应力、位移和孔隙水压力的解析表达式。运用拉普拉斯数值逆变换得到数值结果，分析讨论了反映介质粘弹性性质的参数在不同荷载条件下对计算结果的影响.分析表明介质的粘弹性性质对应力、位移和孔凉水压力的消散有很大影响.
关键词 ：
粘弹性 ,
圈形孔洞 ,
流变 ,
松驰 ,
动力响应
Abstract ：In this paper, the dynamic response of an infinite circular cavity subjected to axially symmetric radial traction and fluid pressure in poroviscoelastic saturated medium is studied. The constitutive model presented by Carcione is used to describe the creep and relaxation behavior of medium. To obtain the solutions， two scalar potential functions are introduced. The analytical solutions of stresses, displacement and pore pressure are derived in transform domain by employing the technique of Laplace transform. A parametric study is made based on the numerical results by inverting the Laplace transform to illustrate the influence of the poroviscoelastic parameters. It is indicated that there are strong correlations among these parameters and the attenuation of radial displacement and pore pressure.
Key words ：
viscoelasticity
circular cavity
creep
relaxation
dynamic response
收稿日期: 2014-02-07
作者简介 : 刘干斌,博士生,男,1976年出生.
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