Abstract
An assessment of the stress tensors used currently for the modeling of partially saturated porous media is made which includes concepts like total stress, solid phase stress, and solid pressure. Thermodynamically constrained averaging theory is used to derive the solid phase stress tensor. It is shown that in the upscaling procedure the Hill conditions are satisfied, which is not trivial. The stress tensor is then compared to traditional stress measures. The physical meaning of two forms of solid pressure and of the Biot coefficient is clarified. Finally, a Bishop-Skempton like form of the stress tensor is obtained and a form of the total stress tensor that does not make use of the effective stress concept.
Original language | English (US) |
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Pages (from-to) | 539-554 |
Number of pages | 16 |
Journal | Journal of the Mechanics and Physics of Solids |
Volume | 57 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2009 |
Keywords
- Bishop parameters
- Elasticity
- Hill-Mandel condition
- Porous media
- Skempton stress
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics