Title: Generalized Non-Linear Strength Theory and Transformed Stress Space
Author: Yao, Y. P.; Lu, D. C.; Zhou, A. N. ;Zou, B
Source: Science in china series e-engineering & materials science, 2004, 47(6): 691-709
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 Pi-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 Pi-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.