液固两相饱和介质动力分析的一种显式有限元法

EXPLICIT FINITE ELEMENT METHOD FOR DYNAMIC ANALYSES OF FLUID-SATURATED POROUS SOLID

以经典的Biot液固两相饱和介质动力理论为基础,建立了以固相位移和液相位移为未知量的液固两相饱和介质动力分析的一种显式有限元法。该显式方法克服了隐式方法需要求解联立方程组的缺点,具有节省计算机内存空间和计算时间的优点,可以方便地应用于求解大自由度和介质非线性问题。算例分析表明,该方法具有较高的计算精度。

An explicit finite element method for dynamic analyses of fluid-saturated porous solid is derived on the basis of the classical Biot抯 theory. The proposed method has the advantages of saving computer memory and saving computing effort over the conventional implicit methods. The proposed method can also efficiently treat the complex dynamic problem of fluid-saturated porous solid with nonlinear behavior or large degrees of freedom. To check the proposed explicit finite element method,two dynamic problems of fluid-saturated porous solid are solved. The numerical results agree well with the exact solutions.