multiPlas - Dynardo GmbH
multiPlas - Dynardo GmbH
multiPlas - Dynardo GmbH
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3.3.3 MOHR-COULOMB anisotropic yield criterion<br />
For the definition of joints, separation planes or strength anisotropies the position of the yield surface<br />
depends on the position of the two joint-angles:<br />
The two angles „First Angle“ (α) and „Second Angle“ (β) describe the position of the joint /<br />
separation plane.<br />
Fig. 3-4 Angle definition of the joint<br />
The yield criterion is:<br />
Re s<br />
−σ ⋅ tanϕ<br />
− C = 0<br />
τ (3-16)<br />
n<br />
Fig. 3-5 MOHR-COULOMB anisotropic yield criterion<br />
where:<br />
y y y x<br />
z x z α β<br />
x z<br />
1. α - rotation against positive rotational direction about the z-axis<br />
2. β - rotation in positive rotational direction about the y-axis<br />
ϕ<br />
C<br />
|τRes|<br />
τRes – shear stress in the joint<br />
σn<br />
σn – normal stress perpendicular to the joint<br />
Necessary material parameters in the ANSYS material model MOHR-COULOMB anisotropic:<br />
α,β – position angle of the family or separation planes<br />
ϕ – friction angle<br />
C – cohesion<br />
ft – tensile strength (in case of tension cut off)<br />
ψ – dilatancy angle<br />
12<br />
USER’S MANUAL, January, 2013
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