基于双屈服条件准则的横观各向同性本构模型研究及其数值模拟
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摘要
为研究层状岩体的力学特性,提出基于双屈服条件强度准则的本构模型。基于双屈服条件强度准则,联合横观各向同性的广义虎克定律刚度矩阵建立考虑横观各向同性的本构模型,并结合岩石单轴压缩试验数据,通过最小二乘法拟合该模型的参数;实现该模型的单轴压缩试验数值模拟,并通过室内单轴压缩试验结果对数值模拟结果进行验证,分析模型的可靠性。研究结果表明:本文提出的本构模型在层状岩体的力学分析方面具有适用性,为层状岩体力学特性研究及层状岩质边坡的稳定性分析奠定了基础。
In order to study the mechanical properties of stratified rock mass, a constitutive model based on the strength criterion of double yield condition is proposed. Based on the strength criterion of double yield condition,the constitutive model considering transverse isotropy was established by combining the generalized Hooke's law stiffness matrix. The numerical simulation of the model was carried out, and the numerical simulation results were verified by the results of the laboratory test and the reliability of the model was analyzed. The results show that the constitutive model presented in this paper is applicable to the mechanical analysis of stratified rock mass and provides a foundation for the study of the mechanical characteristics of stratified rock mass and the stability analysis of stratified rock slope.
In order to study the mechanical properties of stratified rock mass, a constitutive model based on the strength criterion of double yield condition is proposed. Based on the strength criterion of double yield condition,the constitutive model considering transverse isotropy was established by combining the generalized Hooke's law stiffness matrix. The numerical simulation of the model was carried out, and the numerical simulation results were verified by the results of the laboratory test and the reliability of the model was analyzed. The results show that the constitutive model presented in this paper is applicable to the mechanical analysis of stratified rock mass and provides a foundation for the study of the mechanical characteristics of stratified rock mass and the stability analysis of stratified rock slope.
引文
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[6]熊良宵,李天斌,杨昌斌,等.层状岩体单轴和双轴压缩蠕变特性的数值试验[J].吉林大学学报(地球科学版),2013,43(5):1539-1548.XIONG Liangxiao,LI Tianbin,YANG Changbin,et al.Numerical analysis study on uniaxial and biaxial compression creep tests for interlayered rock mass[J].Journal of Jilin University(Earth Science Edition),2013,43(5):1539-1548.
[7]CAI M,Kaiser P K.Numerical simulation of the Brazilian test and the tensile strength of anisotropic rocks and rocks with pre-existing cracks[J].International Journal of Rock Mechanics&Mining Sciences,2004,41(41):478-483.
[8]梁正召,唐春安,李厚祥,等.单轴压缩下横观各向同性岩石破裂过程的数值模拟[J].岩土力学,2005,26(1):57-62.LIANG Zhengzhao,TANG Chunan,LI Houxiang,et al.A numerical study on failure process of transversely isotropic rock subjected to uniaxial compression[J].Rock and Soil Mechanics,2005,26(1):57-62.
[9]Colak K,Unlu T.Effect of transverse anisotropy on the Hoek-Brown strength parameter‘mi’for intact rocks[J].International Journal of Rock Mechanics&Mining Sciences,2004,41(6):1045-1052.
[10]SHI X,YANG X,MENG Y,et al.Modified Hoek-Brown failure criterion for anisotropic rocks[J].Environmental Earth Sciences,2016,75(11):995.
[11]YONG M T,MING C K.A failure criterion for transversely isotropic rocks[J].International Journal of Rock Mechanics&Mining Sciences,2001,38(3):399-412.
[2]Gonzaga G G,Leite M H,Corthésy R.Determination of anisotropic deformability parameters from a single standard rock specimen[J].International Journal of Rock Mechanics&Mining Sciences,2008,45(8):1420-1438.
[3]ZHANG Jiuchang,ZHOU Suhua,FANG Ligang,et al.Effects of axial cyclic loading at constant confining pressures on deformational characteristics of anisotropic argillite[J].Journal of Central South University,2013,20(3):799-811.
[4]YONG M T,MING C K,JUANG C H.An experimental investigation of the failure mechanism of simulated transversely isotropic rocks[J].International Journal of Rock Mechanics&Mining Sciences,2006,43(8):1163-1181.
[5]范文臣,曹平,张科.不同压剪应力比作用下节理类岩石材料破坏模式的试验研究[J].中南大学学报(自然科学版),2015,46(3):926-932.FAN Wenchen,CAO Ping,ZHANG Ke.Experiment study on failure style of jointed rock-like material under different compressive-shear stress ratios[J].Journal of Central South University(Science and Technology),2015,46(3):926-932.
[6]熊良宵,李天斌,杨昌斌,等.层状岩体单轴和双轴压缩蠕变特性的数值试验[J].吉林大学学报(地球科学版),2013,43(5):1539-1548.XIONG Liangxiao,LI Tianbin,YANG Changbin,et al.Numerical analysis study on uniaxial and biaxial compression creep tests for interlayered rock mass[J].Journal of Jilin University(Earth Science Edition),2013,43(5):1539-1548.
[7]CAI M,Kaiser P K.Numerical simulation of the Brazilian test and the tensile strength of anisotropic rocks and rocks with pre-existing cracks[J].International Journal of Rock Mechanics&Mining Sciences,2004,41(41):478-483.
[8]梁正召,唐春安,李厚祥,等.单轴压缩下横观各向同性岩石破裂过程的数值模拟[J].岩土力学,2005,26(1):57-62.LIANG Zhengzhao,TANG Chunan,LI Houxiang,et al.A numerical study on failure process of transversely isotropic rock subjected to uniaxial compression[J].Rock and Soil Mechanics,2005,26(1):57-62.
[9]Colak K,Unlu T.Effect of transverse anisotropy on the Hoek-Brown strength parameter‘mi’for intact rocks[J].International Journal of Rock Mechanics&Mining Sciences,2004,41(6):1045-1052.
[10]SHI X,YANG X,MENG Y,et al.Modified Hoek-Brown failure criterion for anisotropic rocks[J].Environmental Earth Sciences,2016,75(11):995.
[11]YONG M T,MING C K.A failure criterion for transversely isotropic rocks[J].International Journal of Rock Mechanics&Mining Sciences,2001,38(3):399-412.