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Hyperbolic

A Hyperbolic shear strength envelope is defined by the following equation:

Hyperbolic shear strength envolope equation

It is important to note the definition of the parameters and in the Hyperbolic shear strength equation. The following figure illustrates a hyperbolic shear strength envelope.

Hyperbolic shear strength envelope

Hyperbolic shear strength envelope graph

Cohesion Cohesion variable is defined as the shear strength at The value at where cohesion will be defined as the shear strength.
Friction angle Friction angle variable is defined as the friction angle at The value in which friction angle will be defined.

NOTE the definitions of Cohesion and Friction Angle for the Hyperbolic shear strength model. The Cohesion for a Hyperbolic shear strength envelope is actually the limiting, maximum shear strength, for high normal stress.

The Hyperbolic shear strength model has been found to characterize the shear strength of soil / geo-synthetic interfaces, and other types of interfaces [ Esterhuizen, Filz & Duncan (2001) ]. For example, it could be used to model the shear strength of:

  • a concrete / soil interface
  • a geotextile / soil interface

You may wish to use Hyperbolic strength to model the failure mode of "direct sliding" along a GeoTextile / Soil interface. In this case, you will have to define a narrow layer of soil along the geotextile, and assign a material type which uses the Hyperbolic shear strength model.

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