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粘弹性饱和土体中半封闭圆形隧洞的动力响应分析
引用本文:刘干斌,谢康和,施祖元.粘弹性饱和土体中半封闭圆形隧洞的动力响应分析[J].固体力学学报,2004,25(3):285-290.
作者姓名:刘干斌  谢康和  施祖元
作者单位:1. 浙江大学岩土工程研究所,杭州,310027
2. 浙江省建筑设计研究院,杭州,310006
摘    要:基于Biot波动方程,研究分析了粘弹性饱和土体中半封闭圆形隧洞的动力响应问题.假定衬砌材料为多孔介质,引入了更符合工程实际的半封闭边界条件.通过引入势函数,在Laplace变换域中得到隧洞边界上作用轴对称荷载和流体压力条件下应力、位移和超孔隙水压力的解答.利用Laplace数值逆变换得到时域中的解,分析了隧洞边界的半透水特性对隧洞动力响应问题的影响,结果表明:隧洞边界的半透水特性对应力、位移场的变化和超孔隙水压力的消散有很大的影响,透水和不透水下条件的解仅是本文的两个特例。

关 键 词:粘弹性  饱和土  圆形隧洞  动力响应  Biot波动方程  Laplace变换
修稿时间:2001年4月23日

DYNAMIC RESPONSE OF PARTIALLY SEALED CIRCULAR TUNNEL IN VISCOELASTIC SATURATED SOIL
Liu Ganbin,Xie Kanghe,Shi Zuyuan.DYNAMIC RESPONSE OF PARTIALLY SEALED CIRCULAR TUNNEL IN VISCOELASTIC SATURATED SOIL[J].Acta Mechnica Solida Sinica,2004,25(3):285-290.
Authors:Liu Ganbin  Xie Kanghe  Shi Zuyuan
Institution:Liu Ganbin 1 Xie Kanghe 1 Shi Zuyuan 2
Abstract:Based on Biot's wave equation, the dynamic response of a circular tunnel in viscoelastic saturated soil is investigated. The liner is assumed to be porous material and the partial sealing boundary condition of tunnel is introduced firstly to represente most of the real practical situations. By introducing two scalar potential functions, the analytical solutions of stresses, displacements and pore pressure induced by axisymmetric radial traction and fluid pressure are derived in Laplace transform domain. Numerical results are obtained by inverse Laplace transformation and are used to analyze the influence of partial permeable property of boundary on dynamic response of the tunnel. It is shown that the influence of partial permeable property on stresses, displacements and pore pressure is remarkable. The solutions of permeable and impermeable boundaries are only two special cases of this paper.
Keywords:viscoelasticity  saturated soil  circular tunnel  dynamic response  partial sealing
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