爆炸荷载作用下深埋圆形隧洞的饱和黏弹性土-衬砌系统动力响应

发布时间：2018-01-30 19:00

本文关键词： 饱和黏弹性土隧洞衬砌爆炸载荷动力响应 Laplace变换　出处：《岩土力学》2015年07期 　论文类型：期刊论文

【摘要】：假定土骨架服从标准线性固体黏弹性本构关系,研究了深埋圆形隧洞的饱和黏弹性土-弹性衬砌耦合系统在轴对称爆炸作用下的瞬态动力响应。首先,基于饱和土的Biot模型和衬砌的弹性理论,通过引入势函数和Laplace变换,利用弹性衬砌和饱和黏弹性土界面处的连续性条件以及边界条件,得到饱和黏弹性土体和弹性衬砌位移、应力和孔隙水压力等在Laplace变换域中的解析解。其次,利用Laplace数值Crump逆变换得到耦合系统在时间域的动力响应,数值分析了不同土体模型下土体-衬砌耦合系统的径向位移和环向应力以及土体孔隙水压力等。结果表明:对不同土体模型的土体-衬砌耦合系统,其在爆炸载荷作用下的动力响应性态基本一致,但动力响应的振动周期和幅值等具有明显的差异。同时,对于饱和黏弹性土-弹性衬砌系统,土体黏性参数对土体径向位移和孔隙水压力有明显的影响,但对土体环向应力影响较小。
[Abstract]:The transient dynamic response of saturated viscoelastic soil-elastic lining coupling system of deep buried circular tunnel under the action of axisymmetric explosion is studied on the assumption that the soil skeleton is based on the standard linear viscoelastic constitutive relation. Based on the Biot model of saturated soil and the elastic theory of lining, by introducing potential function and Laplace transformation, the continuity condition and boundary condition at the interface of elastic lining and saturated viscoelastic soil are used. The analytical solutions of saturated viscoelastic soil and elastic lining displacement, stress and pore water pressure in the Laplace transform domain are obtained. Secondly. The dynamic response of the coupled system in time domain is obtained by using the Laplace numerical Crump inverse transformation. The radial displacement, circumferential stress and pore water pressure of the soil-lining coupling system under different soil models are numerically analyzed. The results show that the soil-lining coupling system with different soil models is obtained. The dynamic response behavior under explosion load is basically the same, but the vibration period and amplitude of the dynamic response are obviously different. At the same time, for saturated viscoelastic soil-elastic lining system. The parameters of soil viscosity have obvious influence on the radial displacement and pore water pressure, but have little effect on the circumferential stress of soil.
【作者单位】：上海大学土木工程系;
【基金】：国家自然科学基金项目(No.10872124)
【分类号】：TU435
【正文快照】： 1引言土体是典型的黏性介质,其相关应用研究已有较丰富的成果[1?3],而Biot[4]、Wijesinghe等[5]最早讨论了多孔材料的黏弹性性质。在此基础上,将土体视为Kelvin-Voigt体,Bardet[6]提出了一个满足Biot理论的黏弹性本构模型,并与已有的多孔介质模型进行了对比研究。徐长节等[7]

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