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A new method to calculate the equivalent Mohr-Coulomb friction angle for cohesive and frictional materials. (English) Zbl 1274.74208

Summary: In this note, a new method to calculate the equivalent Mohr-Coulomb friction angle \(\phi'_{\text{mc}}\) 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 \(\phi'_{\text{mc}}\) as well as the principal stress ratio \(\sigma'_1/\sigma'_3\) for cohesionless materials in the transformed space first, then obtains \(\phi'_{\text{mc}}\) 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 \(\phi'_{\text{mc}}\).

MSC:

74M10 Friction in solid mechanics
74L10 Soil and rock mechanics
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