Given double shear strength theory and true triaxial strength test data on granite

considered different failure strength characteristics of rock for triaxial compressive and triaxial tensile loading test paths

then granite corresponding functions under triaxial compressive state and under triaxial tensile state are expressed separately. By compared granite true triaxial strength test results with predicting results which are obtained by different smooth ridge models

such as Gudehus-Arygris model

Zhen Yingren model

William-Warnke model and Yu Maohong-Liu Fengyu model etc.

some beneficial suggestions on these smooth ridge models are proposed.