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Mohr-Coulomb-failure

# Mohr-Coulomb-failure - Mohr-Coulomb failure Goal To...

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Mohr-Coulomb failure Goal : To understand relationship between stress, brittle failure, and frictional faulting and to use this relationship to predict rock behavior

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Stress review Stress = Force/Area • 3 principal vectors: σ 1 , σ 2 , and σ 3 at right angles to each other σ 1 ≥ σ 2 ≥ σ 3 σ 1 is the maximum principal stress direction , σ 2 is the intermediate principal stress direction, and σ 3 is the minimum principal stress direction
Static stress as σ 1 = σ 2 = σ 3 Lithostatic stress as static stress generated by mass of overlying rocks Differential stress d ) as (σ 1 - σ 3 ) • Confining pressure as σ 2 = σ 3 for the conditions σ 1 > σ 2 = σ 3 We also define:

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Shear stress and normal stress For any plane in a stress field defined by σ 1 , σ 2 , and σ 3 with strike parallel with σ 2 : θ σ 1 σ 1 σ 3 σ 3
The stress is resolved into 2 components: 1. Shear stress s ), acting parallel with the plane 2. Normal stress n ), acting perpendicular to the plane θ σ 1 σ 1 σ 3 σ 3 σ n σ n σ s σ s

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Mohr-Coulomb-failure - Mohr-Coulomb failure Goal To...

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