三参数强度理论及其在脆性材料中的应用  

A Three-parameter Strength Theory and Its Application for Brittle Materials

作　　者：陈四利 孙子文 Chen Sili;Sun Ziwen(School of Architecture and Civil Engineering,Shenyang University of Technology,Shenyang 110870,P.R.China)

机构地区：[1]沈阳工业大学建筑与土木工程学院,沈阳110870

出　　处：《地下空间与工程学报》2018年第4期1042-1048,共7页Chinese Journal of Underground Space and Engineering

基　　金：国家自然科学基金(51608332;51279109)

摘　　要：为了完善岩石、混凝土等脆性材料的强度理论,在τ~2强度理论的基础上,考虑两个较大的主剪应力和静水压力对岩石类材料强度的不同贡献,提出了一个新的含有3个参数的双2强度理论。推导出了该理论的数学表达式,分析了主应力空间极限面的相关特性,研究了该理论在几种应力状态下的理论预测曲线,并与一些实验数据进行了对比分析。结果表明:该理论在主应力空间的极限面为在拉伸区封闭而在压缩区开口且沿着静水压力轴不断增大的曲面,子午线为椭圆曲线,极限面的形状由材料的极限应力比α、β决定;在σ_1>σ_2=σ_3或σ_1=σ_2>σ_3的应力状态下,该理论的理论预测曲线与极限应力比β无关,极限应力σ_1随着压拉比α的增大而增大;τ~2的三参数强度理论与部分岩石和混凝土材料的实验数据吻合较好,完善了脆性材料的强度理论。In order to improve the strength theory of brittle materials such as rock,concrete,etc.,the paper considered two large principal shear stress and hydrostatic pressure on rock strength different contributions,and proposed a new twin τ^2 strength theory containing three parameters on the basis of twin τ^2 strength theory. The mathematical expression of this theory was derived. The relevant characteristics of the principal stress space limit surface were analyzed. The theoretical predictions of the theory under some stress state were studied and compared with some experimental data. The results show that： the limit surface of this theory in the principal stress space is curve which closes in the tension zone and opens in the compression zone increasing along with the hydrostatic pressure. The meridian is an ellipse. The shape of the limit surface is determined by the limit stress α and β. In the strength of σ1σ2= σ3 or σ1= σ2σ3 stress state,the theoretical prediction curve has nothing to do with the limit stress β and the limit stress σ1 increases with the the limit stress α. The three-parameter twin τ^2 strength theory and the experimental data of part of rock and concrete materials are in good agreement and it improves the brittle material strength theory.

关 键 词：双τ^2强度理论 静水应力 复杂应力状态 脆性破坏 

分 类 号：O346[理学—固体力学]