A user-defined element for dynamic analysis of saturated porous media in ABAQUS

Abstract General finite element software has unique advantages in solving complicated engineering problems, which has been widely applied in the dynamic analysis of single-phase media. However, the commonly used software does not provide a saturated porous two-phase element that can be adopted for dynamic analysis. In this paper, a user-defined element for dynamic analysis of saturated porous media is developed in the general finite element software ABAQUS. The user-defined element takes the displacements of solid skeleton and pore fluid as the basic unknown-variables, and adopts the implicit time integration scheme. By combining it with the equivalent linear method, the nonlinear dynamic analysis of saturated soil can also be realized. The correctness of the user-defined element is verified by solving four numerical examples.

[1]  Jianwen Liang,et al.  A FE-IBE method for linearized nonlinear soil-tunnel interaction in water-saturated, poroelastic half-space: I. Methodology and numerical examples , 2019, Soil Dynamics and Earthquake Engineering.

[2]  M. Biot.  MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA , 1962 .

[3]  Renato Vitaliani,et al.  Evaluation of three‐ and two‐field finite element methods for the dynamic response of saturated soil , 1994 .

[4]  D. Jin,et al.  Nonlinear Analysis on Seismic Site Response of Fuzhou Basin, China , 2015 .

[5]  Alessandro Gajo,et al.  An analytical solution for the transient response of saturated linear elastic porous media , 1995 .

[6]  H. Bolton Seed,et al.  An analysis of ground motions during the 1957 San Francisco earthquake , 1968 .

[7]  G. L. Goudreau,et al.  Evaluation of numerical integration methods in elastodynamics , 1973 .

[8]  O. C. Zienkiewicz,et al.  An analytical solution for the transient response of saturated porous elastic solids , 1984 .

[9]  O. C. Zienkiewicz,et al.  Generalized plasticity and the modelling of soil behaviour , 1990 .

[10]  O. C. Zienkiewicz,et al.  The Finite Element Method: Its Basis and Fundamentals , 2005 .

[11]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .

[12]  Jamshid Ghaboussi,et al.  Variational Formulation of Dynamics of Fluid-Saturated Porous Elastic Solids , 1972 .

[13]  Liang Dong,et al.  An approximate spring–dashpot artificial boundary for transient wave analysis of fluid-saturated porous media , 2009 .

[14]  Tadahiko Shiomi,et al.  Practical Programming in Computational Geomechanics: With Special Reference to Earthquake Engineering , 1999 .

[15]  D. K. Paul,et al.  Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models , 1986 .

[16]  Xiu-li Du,et al.  A completely explicit finite element method for solving dynamic u-p equations of fluid-saturated porous media , 2017 .

[17]  M. Biot.  Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range , 1956 .

[18]  Peng Li,et al.  Three-dimensional numerical analysis for the longitudinalseismic response of tunnels under an asynchronous wave input , 2015 .