基于极限应力比的三参数双τ~2强度准则及其应用  

Three-parameter twin τ~2 strength criterion based on ultimate stress ratio and its application

作　　者：陈四利 李艳宇 周辉[2] 胡大伟[2] CHEN Si-li;LI Yan-yu;ZHOU Hui;HU Da-wei(School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang, Liaoning 110870, China;State Key Laboratory of Geomechanics and Geomechanical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China)

机构地区：[1]沈阳工业大学建筑与土木工程学院,辽宁沈阳110870 [2]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,湖北武汉430071

出　　处：《岩土力学》2018年第6期1948-1954,共7页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.51279109;No.50979104;No.51479193;No.51209085);国家重点基础研究发展计划(973)项目(No.2010CB732006)~~

摘　　要：为了更好地分析复杂应力下的强度问题,作为岩石、混凝土材料强度理论的完善和补充,利用双τ~2强度理论,推导出了一个考虑静水压力和主剪应力面上正应力影响的三参数双τ~2强度准则,给出了该准则的数学表达式,进行了几种应力状态下的理论预测与现有试验数据的对比分析。结果表明,不同的极限应力比a和b值对应着不同材料的强度准则;σ_1>σ_2=σ_3应力状态的强度低于σ_1=σ_2>σ_3应力状态下的强度;在σ_3=0的双轴受压应力下,其双轴压缩强度f_(cc)大于单轴压缩强度f_c;在三轴压缩的应力状态下,当σ_3处于某一固定值且σ_2较小时,σ_1随着σ_2的增加而逐步增大,而σ_2较大时,则σ_1随着σ_2的增加而逐步减小;理论预测值与现有的花岗岩、红砂岩、软弱砂岩以及混凝土等材料的部分试验数据吻合较好。In order to understand the strength failure under complex stresses, and apply the strength theory to more materials, such as rocks and concrete, by the twin τ^2 strength theory, the three-parameter twin τ^2 strength criterion based on the hydrostatic pressure and the normal stress on the surface of main shear stress has been proposed, and the mathematical formula has been deduced. Then the comparative analyses between the theories under different stresses with the existing experimental data have been carried out. The results show that the ratios a and b under different ultimate stresses vary with different strength criteria respectively and the strength under condition of σ1〉σ2=σ3 is less than that the strength under condition of σ1=σ2〉σ3. In the biaxial compressive stress σ3=0, the biaxial compressive strength fcc is larger than the uniaxial one fc. In triaxial compression stress, givenσ3 fixed and σ2 smaller, σ1 increases gradually with the increase of σ2, and given σ2 relatively larger,σ1 decreases gradually with the increase of σ2. The theoretical predictions can reflect some experimental data of the granite, red sandstone, soft sandstone, concrete and other materials.

关 键 词：强度准则 极限应力比 复杂应力状态 多轴强度 岩石 混凝土 

分 类 号：TU452[建筑科学—岩土工程]