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Materials

Mohr-Coulomb

The Mohr-Coulomb strength model: cohesion and friction angle.

Mohr-Coulomb is the default strength model. It describes the available shear strength along the slip surface as a linear function of effective normal stress.

Strength relation

The shear strength on the base of a slice is:

tau = c' + sigma'_n * tan(phi')

where sigma'_n is the effective normal stress on the slice base (total normal stress minus pore pressure), c' is the effective cohesion, and phi' is the effective friction angle.

Parameters

ParameterUnitDefaultDescription
Cohesion (c')kPa1Effective cohesion intercept.
Phi (phi')degrees35Effective angle of internal friction.

Both parameters are edited on the LEM tab of the Define Material Properties modal once Mohr-Coulomb is selected as the failure criterion.

Optional tensile strength

A Use Tensile Strength checkbox enables a tensile-strength cutoff (in kPa, default 0). When enabled, the cutoff limits the negative normal stress the material can sustain before strength is reduced.

When to use

Use Mohr-Coulomb for the great majority of soils, where a linear effective-stress failure envelope is appropriate. For rock masses, a curved envelope, or direction-dependent strength, use one of the other criteria. The other models ultimately resolve to an equivalent Mohr-Coulomb cohesion and friction angle at each slice's normal stress, so Mohr-Coulomb is the common basis for all four.

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