A note on the Lade–Duncan failure criterion

Abstract

The non-linear relationship between the internal frictional angle and the first stress tensor invariant , together with the cohesion c of geomaterial, is used to show that the Lade–Duncan failure criterion is a more general failure criterion with a deep physical meaning. It can be used to describe the strength failure characteristics of sand and normally consolidated soil mass as well as those of cemented geomaterials. As demonstrated for on planes, the Lade–Duncan failure criterion reveals the basic mechanical deformation characteristics for geomaterials. The test results for red sandstone indicate that the differences between the internal frictional angles in the triaxial extension and compression states on planes will be reduced as the average principal stress increases.

Keywords:

• Lade–Duncan failure criterion
• Ridge function
• Friction angle
• Stress tensor invariant
• Deviatoric stress tensor invariant

Notes

Li, X. C. 1990. Research about effect of the intermediate principal stress on rock strength and verification about strength theories. Master's thesis, Rock and Soil Mechanics Institute, Academy of Science of China.