饱和土动力问题求解的隐-隐格式交替解法

An Implicit-implicit Staggered Algorithm for Dynamic Problems of Saturated Soil

研究饱和土受地震这样的非高频动力荷载作用时,采用固相位移和孔压为基本未知量的u-p形式的方程相对比较简单。对这一方程的求解采用无条件稳定的隐—隐式交替解法有很多的优点。在Zienkiewicz提出的无条件稳定的隐-隐格式高效算法的基础上,结合Bazzi等提出的ρ-方法,建立了一种新的无条件稳定的隐—隐格式交替解法。文章详细地证明了这种方法的无条件稳定性,并将其应用于求解饱和一维土柱模型。数值算例表明,此方法能更有效地减少位移和孔压时程曲线的振荡。

For soil-pore fluid dynamic problems of saturated soil without high frequeney components ,it＇ s sim- ple to use the economical up form in which the soil skeleton displacement u and the pore pressure p are the essen-tial variables. The unconditionally stable implicit- implicit algorithm has many advantages in solving this kind of up form equations. On the basis of a stabilized procedure suggested by Zienkiewicz which is highly efficient,this paper comes up with a new unconditionally stable staggered algorithms in combination with p-method brought up by Bazzi, et al. The unconditional stability of this new staggered algorithms is verified in detail. A numerical example for a saturated soil column shows that this new staggered algorithms can reduce oscillation in the displacement and pressure response.