Abstract: | Based on the test data of frictional materials and previous research achievements in this field, a generalized non-linear
strength theory (GNST) is proposed. It describes non-linear strength properties on the π-plane and the meridian plane using
a unified formula, and it includes almost all the present non-linear strength theories, which can be used in just one material.
The shape of failure function of the GNST is a smooth curve between the SMP criterion and the Mises criterion on the π-plane,
and an exponential curve on the meridian plane. Through the transformed stress space based on the GNST, the combination of
the GNST and various constitutive models using p and q as stress parameters can be realized simply and rationally in three-dimensional stress state. |