ZHOU Yong-qiang, SHENG Qian, LIU Fang-xin, et al. A study of modified Drucker-Prager yield criterion[J]. 2016, 37(6): 1657-1664.
DOI:
ZHOU Yong-qiang, SHENG Qian, LIU Fang-xin, et al. A study of modified Drucker-Prager yield criterion[J]. 2016, 37(6): 1657-1664.DOI: 10.16285/j.rsm.2016.06.016.
A study of modified Drucker-Prager yield criterion
Drucker-Prager yield criterion is widely used in rock engineering with the benefits of its simple form and clear physical meaning. However
its drawbacks are gradually revealed after years of research and application
such as lacking the effect of stress angle and the oversized tensile-shear region. Therefore
we propose a modified Drucker-Prager yield criterion in this study. In compressive-shear region
the same form of Drucker-Prager yield criterion is reserved
but in tensile-shear region
the original conical surface is replaced by the combination of a spherical surface and a cross section. This method can not only consider the real tensile strength of rock
but also satisfy the condition that the yield criterion passes the point of uniaxial tensile strength. A corner model is introduced to describe different strength characteristics of rock under triaxial compression and triaxial tension. To satisfy the condition that the yield criterion goes through the point of uniaxial compressive strength
a new method for calculating the value of k is suggested. Then the calculated results of the yield criterion are further fitted with that of true triaxial tests to verify the applicability and accuracy of the modified yield criterion. By comparing the results of the modified criterion with that of Mohr-Coulomb criterion
it is shown that the modified yield criterion can describe experimental data well