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针对以土骨架位移u和孔隙流体压力p为基本未知量的饱和两相介质动力方程,提出基于中心差分法和精细时程积分法相结合的时域显–隐交替算法,分析饱和两相介质动力反应。该算法对孔压方程非齐次项的计算分别采用Gauss积分,梯形积分和Lagrange二次插值函数近似位移的方法近似模拟;同时提出一种基于精细积分方法的三次样条插值函数法,进而回避了对孔压方程耦合速度项积分时涉及的矩阵求逆运算问题。计算结果与Zienkiewicz显–隐式结果对比,两者结果基本一致,证明了方法的有效性。
Aiming at the saturated two-phase medium dynamic equation with soil skeleton displacement u and pore fluid pressure p as the basic unknowns, a time-domain explicit-implicit alternating algorithm based on the central difference method and the fine time-integration method is proposed to analyze the saturated two- reaction. In this algorithm, the calculation of nonhomogeneous terms of pore pressure equation is approximated by Gauss integral, trapezoidal integral and approximate displacement of Lagrange quadratic interpolation respectively. At the same time, a cubic spline interpolation function method based on precise integral method is proposed, Inverse calculation of matrix involved in the integration of velocity equations of pore pressure equation. Comparing the results with Zienkiewicz significant - implicit results, the results of the two are basically the same, which proves the validity of the method.