This contribution is concerned with a new mixed ®nite element formulation for geometrically linear Terzaghi± Biot type ¯uid-saturated porous media. To this end, an extended Hu±Washizu type mixed variational principle is presented for ¯uid-saturated porous continua. Then, a suitable discretization an
A finite element formulation for strong discontinuities in fluid-saturated porous media
✍ Scribed by P. Steinmann
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 349 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1082-5010
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✦ Synopsis
The aim of this contribution is the development of a finite element formulation tailored to capture strong discontinuities in fluid-saturated porous media. Thereby, strong discontinuities are considered as the final failure mechanism within localization problems. The failure kinematics are governed by the jumps in the solid displacement and the excess pore pressure gradient along the discontinuity. In the finite element discretization an interface element is endowed with these kinematics. As a consequence, the interface stiffness is dominated by the weighted localization tensor associated with the solid and the corresponding scalar valued contraction of the permeability tensor with the discontinuity normal. Finally, the proposed strategy is conceptionally highlighted by a qualitative computational example.
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