Effective stress are used to describe the actual stresses acting on the grains/matrix in the soil. Furthermore, they determine the behaviour of the soil. Most of the geomechanical laws are written in terms of effective stresses, such as the poroelastic model in dumux/geomechanics/poroelastic/model.hh. More...
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Effective stress are used to describe the actual stresses acting on the grains/matrix in the soil. Furthermore, they determine the behaviour of the soil. Most of the geomechanical laws are written in terms of effective stresses, such as the poroelastic model in dumux/geomechanics/poroelastic/model.hh.
Effective stresses are denoted with \( \boldsymbol{\sigma_{\mathrm{eff}}} \). The effective stress tensor \( \boldsymbol{\sigma_{\mathrm{eff}}} \) is determined by the stress tensor \( \boldsymbol{\sigma} \) , the effective pore pressure \( p_{\mathrm{eff}} \) and the Biot's coefficient \( \alpha \) :
\[ \boldsymbol{\sigma_{\mathrm{eff}}} = \boldsymbol{\sigma} - \alpha p_{\mathrm{eff}} \mathbf{I} \]