Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media

YAN Bo; ZHANG Ru-qing

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(12): 1247-1254

YAN Bo, ZHANG Ru-qing. Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1247-1254.

Citation:

YAN Bo, ZHANG Ru-qing. Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1247-1254.

Citation:

YAN Bo, ZHANG Ru-qing. Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1247-1254.

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Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media

Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P R China

Received Date: 2000-02-28
Rev Recd Date: 2000-07-11
Publish Date: 2000-12-15

Abstract

Abstract

The governing equations as well as boundary and initial conditions for nonlinear dynamic response problems of viscous fluid-saturated biphasic porous medium model,based on mixture theory,are presented.With Galerkin weighted residual method the corresponding nonlinear dynamic penalty finite element equation,in which the dependencies of volume fraction and permeation coefficients on deformation are included,is obtained.The iteration solution method of the nonlinear system equation is also discussed.As a numerical example,the dynamic response of a porous medium column under impulsive loading action is analyzed with the developed finite element program.The numerical results demonstrate the efficiency and correctness of the method.
- porous media,
- viscous fluid,
- dynamic response,
- finite element method

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References(10)

References

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