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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。
Assuming that the soil skeleton obeys the standard linear solid viscoelastic constitutive relationship, the transient dynamic response of a saturated circularly viscoelastic soil-elastic lining coupled system under axisymmetric explosion is studied. First, based on the Biot model of saturated soil and the elastic theory of lining, the saturated viscoelastic soil and elastic lining displacement are obtained by introducing the potential function and Laplace transform, using the continuity conditions at the boundary between elastic lining and saturated viscoelastic soil and the boundary conditions. , Analytical solution of stress and pore water pressure in Laplace transform domain. Secondly, the dynamic response of coupled system in time domain is obtained by Laplace numerical inverse Crump transform. The radial displacement and hoop stress of soil-liner coupled system and the pore water pressure of soil under different soil models are numerically analyzed. The results show that the dynamic response of soil-liner system with different soil models is basically the same under explosive load. However, the vibration period and amplitude of dynamic response are obviously different. Meanwhile, for saturated viscoelastic soil-elastic lining system, the viscous parameters of soil have obvious influence on the radial displacement and pore water pressure of soil, but have little influence on the soil circumferential stress.