Abstract：Six conventional triaxial strength criteria are studied based on test data of six rocks cited from public literatures. The least square method used to determine parameters in criteria may result in the deviation of fitting solution from main regular data for a few abnormal data；and the linear regression of equations transferred from criteria，such as Hoek-Brown criterion and Fairhurst criterion，may bring totally untrue outcome. The parameters should be searched directly according to the least absolute deviation. The Mohr criterion with the form of normal-shear stress does not describe the real physical phenomenon，in which the parameters are also difficult to be determined mathematically. The explicit criterion of principal stresses is the best choice for rock. The parabolic criterion with a single parameter，uniaxial compression strength，may fit test data of many rocks better than Coulomb criterion and Hoek-Brown criterion with two parameters. The exponential strength criterion with three parameters，which are determined on the least absolute deviation，will approximate to a great number of normal test data，and open out the abnormal data points. It can describe the relationship between strength and confining pressure in the entire experimental range better than that from the generalized Hoek-Brown criterion and quadratic polynomial criterion.
尤明庆. 岩石强度准则的数学形式和参数确定的研究[J]. 岩石力学与工程学报, 2010, 29(11): 2172-2184.
YOU Mingqing. STUDY OF MATHEMATICAL EQUATION AND PARAMETER DETERMINATION OF STRENGTH CRITERIA FOR ROCK. , 2010, 29(11): 2172-2184.
COURANT R，ROBBINS H，STEWART I. 什么是数学[M]. 左 平，张饴慈译. 上海：复旦大学出版社，2005：354-358，386. (COURANT R，ROBBINS H，STEWART I. What is mathematics[M]. Translated by ZUO Ping，ZHANG Yici. Shanghai：Fudan University Press，2005：354-358，386.(in Chinese))
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2010, Vol. 29 
