Shear Strength
In UnWedge, three different strength models are available for defining the shear strength of the joints used in the analysis:
- Mohr-Coulomb
- Barton-Bandis
- Power Curve
Mohr-Coulomb
Eqn.1
Where is the friction angle of the joint plane and c is the cohesion.
TENSILE STRENGTH
For the Mohr-Coulomb model, you may also define tensile strength. If defined, the tensile strength will be applied to wedge faces which are in tension (for example: all planes of a falling wedge, or the non-sliding plane(s) of a sliding wedge). The tensile strength will apply a passive resisting force normal to the wedge plane, equal to the area of the wedge plane multiplied by the tensile strength.
Barton-Bandis
The original Barton equation for the shear strength of a rock joint is given by Eqn.2a:
Eqn.2a
Where is the basic friction angle of the failure surface, JRC is the joint roughness coefficient, and JCS is the joint wall compressive strength [Barton, 1973, 1976]. On the basis of direct shear test results for 130 samples of variably weathered rock joints, Barton and Choubey revised this to Eqn.2b:
Eqn.2b
Where is the residual friction angle of the failure surface [Barton and Choubey, 1977]. Barton and Choubey suggest that can be estimated from Eqn.2c:
Eqn.2c
Where r is the Schmidt hammer rebound number on wet and weathered fracture surfaces and R is the Schmidt rebound number on dry unweathered sawn surfaces. Equations 2b and 2c have become part of the Barton-Bandis criterion for rock joint strength and deformability [Barton and Bandis, 1990].
For further information on the shear strength of discontinuities, including a discussion of the Barton-Bandis failure criterion parameters, see Practical Rock Engineering: Shear Strength of Discontinuities) on the Rocscience website.
Power Curve
The Power Curve model for shear-strength [Miller, 1988], can be expressed as:
Eqn.3
Where a, b, and c are parameters typically obtained from a least-squares regression fit of data obtained from small-scale shear tests. The d parameter represents the tensile strength. If included, it must be entered as a positive value.