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| Mixed finite element method for quasi-static problems of fluid-saturated biphase porous media |
| Revised:July 10, 1999 |
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| DOI：10.7511/jslx20012025 |
| KeyWord:porous media,quasi\|static problem,mixed finite element method |
| YAN Bo 1 LIU Zhan\|fang 2 ZHANG Xiang\|wei 3 |
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| Abstract: |
| Based on the fluid\|saturated biphase porous media model deduced from mixture theory, a finite element formulation with u S u F p variables for quasi\|static analysis is given out. An iterative solution method is suggested to solve the system equations whose coefficient matrices are indefinite. It is concluded from patch test that the order of interpolation function for pressure must be higher than that of displacement of solid phase. Numerical analysis of an example demonstrates that the displacements, velocities of both solid and fluid phases as well as the effective stresses in solid phase with the mixed finite element method are consistent with those obtained with penalty method, which illustrates the mixed method is correct, available and practical. It is also concluded that the pressure values obtained with mixed method are more precise than those of penalty method. |
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