Abstract：The experimental research on the strength parameters of Drucker-Prager criterion, i.e. the coefficient of pressure sensitivity and the shearing strength of cohesion ，was rarely reported. The parameters including the internal friction angle ，the cohesion ，the coefficient of pressure sensitivity and the shearing strength of cohesion were measured simultaneously with the same group of triaxial compression tests on dense sandstone. The results show that and gradually increase with the plastic deformation in a decreasing rate，while and firstly increase to their peak values and then decrease with the plastic deformation. Five pairs of mostly used parameter conversion formulae for Mohr-Coulomb criterion and Drucker-Prager criterion were compared so that a pair of best fit conversion formulae were found with the same group of triaxial compression tests. The variation of strength parameters in Mohr-Coulomb criterion and Drucker-Prager criterion can be used to simulate the hardening and softening of geomaterials in the future numerical computation of geotechnical engineering.
[1] DRUCKER D C，PRAGER W J. Soil mechanics and plastic analysis for limit design[J]. Quarterly of Applied Mathematics，1952，10(2)：157–165.
[2] 殷有泉. 岩石类材料塑性力学[M]. 北京：北京大学出版社， 2014：66.(YIN Youquan. Plasticity of geomaterials[M]. Beijing： Peking University Press，2014：66.(in Chinese))
[3] 姚再兴. 软化Drucker-Prager材料强度参数的测定方法[J]. 岩石力学与工程学报，2014，33(6)：1 187–1 193.(YAO Zaixing. A method for measuring strength parameters of softening Drucker-Prager material[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(6)：1 187–1 193.(in Chinese))
[4] DAVIS R O，SELVADURAI A P S. Plasticity and Geomechanics[M]. Cambridge：Cambridge University Press，2002：65–67.
[5] CHEN W F，LIU X L. limit analysis in soil mechanics[M]. Amsterdam：Elsevier，1990：88–89.
[6] 陈惠发，萨里普. 弹性与塑性力学[M]. 北京：中国建筑工业出版社，2005：209–210.(CHEN W F，SALEEB A F. Elasticity and plasticity[M]. Beijing：China Architecture and Building Press，2005：209–210.(in Chinese))
[7] 殷有泉. 岩石力学与岩石工程的稳定性[M]. 北京：北京大学出版社，2011：100–101.(YIN Youquan. Stability of rock mechanics and rock engineering[M]. Beijing： Peking University Press，2011：100–101.(in Chinese))
[8] 时卫民，郑颖人. 莫尔–库仑屈服准则的等效变换及其在边坡分析中的应用[J]. 岩土工程技术，2003，(3)：155–159.(SHI Weimin，ZHENG Yingren. Equivalent transformation of Mohr-Coulomb criterion and its application in slope stability analysis[J]. Geotechnical Engineering Technique，2003，(3)：155–159.(in Chinese))
[9] 刘金龙，栾茂田，许成顺，等. Drucker-Prager准则参数特性分析[J]. 岩石力学与工程学报，2006，25(增2)：4 009–4 015.(LIU Jinlong，LUAN Maotian，XU Chengshun，et al. study on parametric characters of Drucker-Prager Criterion[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(Supp.2)：4 009–4 015.(in Chinese))
[10] 郑颖人，沈珠江，龚晓南. 岩土塑性力学原理[M]. 北京：中国建筑工业出版社，2002：55–61.(ZHENG Yingren，SHEN Zhujiang，GONG Xiaonan. The principles of geotechnical plastic mechanics[M]. Beijing：China Architecture and Building Press，2002：55–61.(in Chinese))
[11] 陈惠发. 土木工程材料的本构方程[M]. 武汉：华中科技大学出版社，2001：375.(CHEN W F. Constitutive equations of civil engineering materials[M]. Wuhan：Huazhong University of Science and Technology Press，2001：375.(in Chinese))
[12] 熊 敬， 张建海. Drucker-Prager型屈服准则与强度储备安全系数的相关分析[J]. 岩土力学，2008，29(7)：1 905–1 910.(XIONG Jing，ZHANG Jianhai. Correlation analysis of relationship between Druker- Prager yield criteria and strength margin safety factor[J]. Rock and Soil Mechanics，2008，29(7)：1 905–1 910.(in Chinese))
[13] FJÆR E，HOLT R M，HORSRUD P，et al. Petroleum related rock mechanics[M]. Hungary：Elsevier，2008：79.
[14] 王红才，赵卫华，孙东生，等. 岩石塑性变形条件下的Mohr- Coulomb屈服准则[J]. 地球物理学报，2012，55(12)：4 231–4 238. (WANG Hongcai，ZHAO Weihua，SUN Dongsheng，et al. Mohr- Coulomb yield criterion in rock plastic mechanics[J]. Chinese Journal of Geophysics，2012，55(12)：4 231–4 238.(in Chinese))
[15] HAJIABDOLMAJID V，KAISER P K，MARTIN C D. Modelling brittle failure of rock[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(6)：731–741.
[16] VERMEER P A，DE BORST R. Non-associated plasticity for soils，concrete and rock[J]. Heron，1984，29 (3)：1–64.
[17] LI H，XIONG G，ZHAO G. An elasto-plastic constitutive model for soft rock considering mobilization of strength[J]. Transactions of Nonferrous Metals Society of China，2016，26(3)：822–834.
[18] MARTIN C D. Seventeenth Canadian geotechnical colloquium：the effect of cohesion loss and stress path on brittle rock strength[J]. Canadian Geotechnical Journal，1997，34(5)：698–725.
[19] ZHANG K，ZHOU H，SHAO J. An experimental investigation and an elastoplastic constitutive model for a porous rock[J]. Rock mechanics and rock engineering，2013，46(6)：1 499–1 511.
[20] MA L，XU H，TONG Q，et al. Post-yield plastic frictional parameters of a rock salt using the concept of mobilized strength[J]. Engineering Geology，2014，177(14)：25–31.
[21] WANG H C，ZHAO W H，SUN D S，et al. Mohr-coulomb yield criterion in rock plastic mechanics[J]. Chinese Journal of Geophysics，2012，55(6)：733–741.
[22] JAFARPOUR M，RAHMATI H，AZADBAKHT S，et al. Determination of mobilized strength properties of degrading sandstone[J]. Soils and Foundations，2012，52(4)：658–667.
[23] LEE K H，LEE I M，SHIN Y J. Brittle rock property and damage index assessment for predicting brittle failure in excavations[J]. Rock Mechanics and Rock Engineering，2012，45(2)：251–257.
[24] POURHOSSEINI O，SHABANIMASHCOOL M. Development of an elasto-plastic constitutive model for intact rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2014，66(66)：1–12.
[25] ZHANG H Q，TANNANT D D，JING H W，et al. Evolution of cohesion and friction angle during microfracture accumulation in rock[J]. Natural Hazards，2015，77(1)：497–510.
[26] 张后全，贺永年，周纪军，等. 岩石破损过程强度变化规律实测研究[J]. 岩石力学与工程学报，2010，29(增1)：3 273–3 279.(ZHANG Houquan，HE Yongnian，ZHOU Jijun，et al. Experimental study of strength evolution laws in rock failure process[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.1)：3 273–3 279.(in Chinese))
[27] 张 帆，盛 谦，朱泽奇，等. 三峡花岗岩峰后力学特性及应变软化模型研究[J]. 岩石力学与工程学报，2008，27(增1)：2 651–2 655. (ZHANG Fan，SHENG Qian，ZHU Zeqi，et al. Study on post-peak mechanical behaviour and strain softening model of three gorges granite[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(Supp.1)：2 651–2 655.(in Chinese))
[28] KOVARI K，TISA A，EINSTEIN H H，et al. Suggested methods for determining the strength of rock materials in triaxial compression：revised version[J]. International Journal of Rock Mechanics and Mining Sciences，1983，20(6)：283–290.
[29] 中华人民共和国国家标准编写组. GB/T 23561.9—2009煤和岩石物理力学性质测定方法第9部分：煤和岩石三轴强度及变形参数测定方法[S]. 北京：[s.n.]，2009.(The National Standards Compilation Group of People?s Republic of China. GB/T 23561.9—2009 Methods for determining the physical and mechanical properties of coal and rock. Part 9：Methods for determining the triaxial strength and deformation parameters of coal and rock[S]. Beijing：[s.n.]，2009.(in Chinese))
[30] BISHOP A W. Shear strength parameters for undisturbed and remoulded soil specimens [C]// Proceedings of the Roscoe Memorial Symp. Cambridge：[s.n.]，1972：3–58.
[31] SCHMERTMANN J H，OSTERBERG J H. An experimental study of the development of cohesion and friction with axial strain in saturated cohesive soils[C]// Proceedings of the Research Conference on Shear Strength of Cohesive Soils. New York：ASCE，1960：643–694.
2017, Vol. 36 
