A new method to calculate the equivalent Mohr-Coulomb friction angle for cohesive and frictional materials

作者：Jiang, Hua^*; Wang, Xiaowo

来源：International Journal for Numerical and Analytical Methods in Geomechanics, 2011, 35(5): 630-638.

DOI：10.1002/nag.922

• Mohr-Coulomb
• Matsuoka-Nakai
• failure surface
• friction angle

In this note, a new method to calculate the equivalent Mohr-Coulomb friction angle phi'(mc) for cohesive and frictional materials is presented. This method makes a transformation from the failure surface for cohesive materials to the failure surface for cohesionless materials and obtains phi'(mc) as well as the principal stress ratio sigma'(1)/sigma'(3) for cohesionless materials in the transformed space first, then obtains phi'(mc) for cohesive materials by linking sigma'1/sigma'(3) in the transformed space and in the original space. In the application example, an analytical solution of the invariant stress ratio L is derived from the failure function in the transformed space. The influence of the intermediate effective principal stress sigma'(2) is also demonstrated using the already calculated phi'(mc).

• 出版日期2011-4-10
• 单位长安大学