饱和土动力分析的无条件稳定交叉迭代法

Unconditionally stable staggered solution procedure for dynamic analysis of saturated soil

对于饱和土地震和固结问题 ,用位移 -孔隙水压(u- p)方程来描述。土和孔隙水的相互作用对这样一组耦合方程 ,运用交叉迭代进行解耦。讨论了交叉迭代法的基本思想 ,证明了常规的交叉迭代法是条件稳定的。介绍了Zienkiewicz给出的一种高效的无条件稳定的隐式 /隐式交叉迭代法 ,并依据 Park的思想详细证明其稳定性。

In earthquake and consolidation of saturated soil, the u p formulation can be used to describe the soil pore fluid interaction. An uncoupled staggered procedure was used to efficiently solve these coupled equations. This paper presents the staggered procedure and shows that the conventional implicit staggered procedure is conditionally stable. A computationally robust and unconditionally stable implicit/implicit staggered procedure presented by Zienkiewicz is proved to be stable by Park's method. A numerical example for a soil column subjected to an instantly applied surface load is used to show that this procedure can efficiently reduce the calculating cost.