一种适用于岩土的扩展强度及屈服准则

万征; 孟达; 宋琛琛

doi:10.6052/0459-1879-19-074

一种适用于岩土的扩展强度及屈服准则

doi: 10.6052/0459-1879-19-074

万征^*†2), ,,
孟达^*,
宋琛琛^†

* 中国建筑科学研究院地基基础研究所,北京 100013
? 同济大学土木工程学院,上海 200092

基金项目: 1)国家自然科学青年基金资助项目(11402260)

详细信息

通讯作者:
万征

中图分类号: TU43
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- 被引次数: 0
出版历程
- 收稿日期: 2019-03-27
- 刊出日期: 2019-09-18

AN EXTENDED STRENGTH AND YIELD CRITERION FOR GEOMATERIALS

Wan Zheng^{*†2)
, ,},
Meng Da^*,
Song Chenchen^†

* Foundation Engineering Research Institute,China Academy of Building Research,Beijing 100013, China
? Research Institute of Structural Engineering and Disaster Reduction, Tongji University,Shanghai 200092, China

摘要

摘要: 土壤材料是一种典型的摩擦型材料,然而天然岩石却具有一定的凝聚力,而金属材料则完全是凝聚型材料. 在分析三种典型的材料强度准则表达式基础上,即SMP,Lade-Duncan以及广义Von-Mises准则,通过利用应力张量的不变量表达形式,提出了一种扩展准则即VML准则,该准则能够分别退化为上述3种典型准则. 在偏平面上,新准则能够描述从曲边三角形到圆形在内的多种开口形态;在子午面上,采用幂函数作为破坏准则公式,能够描述静水压力对于强度特性影响的非线性性质. 而对于土壤的屈服性质,岩土材料具有典型的压剪耦合特性,因此,为了描述剪切与等方向压缩两种路径下的体积耦合现象,采用水滴型屈服面作为屈服准则. 对于偏平面上的截面形状,讨论了给定球应力下偏应力强度值的分布形式及特点,讨论了应力罗德角对于偏平面上强度曲线的凹凸性的影响. 最后,通过多种材料的破坏与屈服试验成果,用所提新准则进行了验证. 通过强度以及屈服特性测试对比,验证了所提VML准则的合理性.
- 土壤 /
- 岩石 /
- 强度准则 /
- 屈服准则 /
- 破坏
Abstract: Soil is a kind of typical friction material, while natural rock have certain cohesive properties and metal is a kind of completely cohesive material. Based on the analysis of three typical material strength criterion expressions, namely SMP, Lade-Duncan and Extended Von-Mises criterion, an extended criterion, VML criterion, is proposed by using the invariant expression of stress tensor, which can be degraded to the above three typical criteria respectively. In the deviatoric plane, the new criterion can be adopted to describe a variety of opening forms from curved triangle to circle, and in the meridian plane, the power function is adopted as the failure criterion formula, which can be used to describe the nonlinear property of the influence of hydrostatic pressure on the strength characteristics. As for the yield behavior of soil, geomaterials have typical compression-shear coupling characteristics. Therefore, in order to describe the volumetric coupling phenomenon under the two paths of shear and isotropic compression conditions, the droplet yield surface is adopted as the yield criterion. For the section shape on the deviatoric plane, the distribution and characteristics of the strength curve in the deviatoric plane with a fixed hydrostatic stress are discussed, and the influence of the stress Lode angle on the concavity and convexity of the strength curve in the deviatoric plane is discussed. Finally, the new criterion is used to verify the failure and yield test results of various materials. The comparison between prediction and test results have been employed. The comparison results have demonstrated the rationality of the proposed VML criterion.
- soil /
- rock /
- strength criterion /
- yield criterion /
- failure

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参考文献(1)

[1]	Matsuoka H, Nakai T . Relationship arnong Tresca, Mises, Mohr Coulomb and Matsuoka-Naka failure criteria. Soil sand Foundatiens, 1985,25(4):123-128
[2]	Matsuoka H, Yao YP, Sun DA . The Cam-clay models revised by the SMP criterion. Soils and Foundations, 1999,39(1):81-95
[3]	Balasubrarnaniam AS, Chaudhry AR . Deformation and strength characteristics of soft Bangkok clay. Journal of Geotechnical Engineering Division, ASCE, 1978 , 104(9):1153-1167
[4]	Lade PV, Musante HM . Three-dimensional behavior of remolded clay. Journal of Geotechnical and Geoenvironmental Engineering, Division, ASCE, 1978,104(2):193-209
[5]	Matsuoka H . On the significance of the spatial mobilized plane. Soil and Foundations, 1976,16(1):91-100
[6]	俞茂宏, 何丽南, 宋凌宇 . 广义双剪应力强度理论及其推广. 中国科学A 辑, 1985,28(12):1113-1121
[6]	( Yu Maohong, He Linan, Song Lingyu . Twin shear stress theory and its generalization. Science in China, Series A, 1985,28(11):1174-1183 (in Chinese))
[7]	俞茂宏 . 岩土类材料的统一强度理论及其应用. 岩土工程学报, 1994,16(2):1-10
[7]	( Yu Maohong . Unified strength theory for geomaterials and its applications. Chinese Journal of Geotechnical Engineering, 1994,16(2):1-10 (in Chinese))
[8]	俞茂宏 . 线性和非线性的统一强度理论. 岩石力学与工程学报, 2007,26(4):662-669
[8]	( Yu Maohong . Linear and nonlinear unified strength theory. Chinese Journal of Rock Mechanics and Engineering, 2007,26(4):662-669 (in Chinese))
[9]	昝月稳, 俞茂宏 . 岩石广义非线性统一强度理论. 西安交通大学学报, 2013,48(4):616-624
[9]	( Zan Yuewen, Yu Maohong . Generalized nonlinear unified strength theory of rock. Journal of Southwest Jiaotong University, 2013,48(4):616-624 (in Chinese))
[10]	高江平, 姜华, 蒋宇飞等. 三剪应力统一强度理论研究. 力学学报, 2017,49(6):1322-1334
[10]	( Gao Jiangping, Jiang Hua, Jiang Yufei , et al. Study of three-shear stress unified strength theory. Chinese Journal of Theoretical and Applied Mechanics, 2017,49(6):1322-1334 (in Chinese))
[11]	姚仰平, 路德春, 周安楠等. 广义非线性强度理论及其变换应力空间. 中国科学:E辑, 2004,34(11):1283-1299
[11]	( Yao Yangping, Lu Dechun, Zhou Annan , et al. Generalized non-linear strength theory and transformed stress space. Science in China:Ser. E, 2004,34(11):1283-1299 (in Chinese))
[12]	路德春, 江强, 姚仰平 . 广义非线性强度理论在岩石材料中的应用. 力学学报, 2005,37(6):729-736
[12]	( Lu Dechun, Jiang Qiang, Yao Yangping . Applications of generalized non-linear strength theory to rock materials. Chinese Journal Of Theoretical And Applied Mechanics, 2005,37(6):729-736 (in Chinese))
[13]	Yao YP, Zhou A , Lu D. Extended transformed stress space for geomaterials and its application. Journal of Engineering Mechanics,ASCE,2007,13310)： 1115-1123
[14]	姚仰平, 路德春, 周安楠 . 岩土材料的变换应力空间及其应用. 岩土工程学报, 2005,29(1):24-29
[14]	( Yao Yangping, Lu Dechun, Zhou Annan . Transformed stress space for geomaterials and its application. Chinese Journal of Geotechnical Engineering, 2005,29(1):24-29 (in Chinese))
[15]	杜修力, 王国盛, 路德春 . 混凝土材料非线性多轴动态强度准则. 中国科学:E辑, 2014,44(12):1319-1332
[15]	( Du Xiuli, Wang Guosheng, Lu Dechun . Nonlinear multiaxial dynamic strength criterion for concrete material. Science in China:Ser. E, 2014,44(12):1319-1332 (in Chinese))
[16]	姜华 . 一种简便的岩石三维Hoek-Brown强度准则. 岩石力学与工程学报, 2015,34(s1):2996-3004
[16]	( Jiang Hua . A simple convenient three-dimnesional Hoek-Brown criterion for rocks. Chinese Journal of Rock Mechanics and Engineering, 2015,34(s1):2996-3004 (in Chinese))
[17]	Hsieh SS, Ting EC, Chen WF . A plastic-fracture model for concrete. International Journal of Solids and Structures, 1982,18(3):181-197
[18]	Winnicki A, Cichon C . Plastic model for concrete in plane stress state. II: Numerical validation. Journal of Engineering Mechanics, 1998,124(6):603-613
[19]	Zienkiewicz OC, Pande GN . Some useful forms of isotropic yieldsurface for soil and rock mechanics//Pande GW. Finite Elements in Geomechnaics. London: Wiley, 1977: 179-190
[20]	郑颖人, 孔亮 . 塑性力学中的分量理论------广义塑性力学. 岩土工程学报, 2000,22(3):269-274
[20]	( Zheng Yingren, Kong Liang . Componental plastic mechanics---Generalized plastic mechanics. Chinese Journal of Geotechnical Engineering, 2000,22(3):269-274 (in Chinese))
[21]	刘洋 . 砂土的各向异性强度准则:原生各向异性. 岩土工程学报, 2013,35(8):1526-1534
[21]	( Liu Yang . Anisotropic strength criteria of sand: inherent anisotropy. Chinese Journal of Geotechnical Engineering, 2013,35(8):1526-1534 (in Chinese))
[22]	曹威, 王睿, 张建民 . 横观各向同性砂土的强度准则. 岩土工程学报, 2016,38(11):2026-2032
[22]	( Cao Wei, Wang Rui, Zhang Jianmin . New strength criterion for sand with cross-anisotropy. Chinese Journal of Rock Mechanics and Engineering, 2016,38(11):2026-2032 (in Chinese))
[23]	路德春, 梁靖宇, 王国盛等. 横观各向同性土的三维强度准则. 岩土工程学报, 2018,40(1):54-63
[23]	( Lu Dechun, Liang Jingyu, Wang Guosheng , et al. Three-dimensional strength criterion for transverse isotropic geomaterials. Chinese Journal of Geotechnical Engineering, 2018,40(1):54-63 (in Chinese))
[24]	Abelev A, Lade PV . Characterization of failure in cross-anisotropic soils. J. Eng. Mech. ASCE, 2004,130(5):599-606
[25]	Kirkgard MM, Lade PV . Anisotropic three-dimensional behavior of a normally consolidated Clay. Can. Geotech. J, 1993,30(4):848-858
[26]	Lu DC, Liang JY, Du XL , et al. A novel transversely isotropic strength criterion for soils based on a mobilised plane approach. Géotechnique, 2018. 69(3):234-250
[27]	Liu MD, Carter JP . Virgin compression of structured soils. Géotechnique, 1999,49(1):43-57
[28]	Mahdi T, Yannis FD, Ralf P . A destructuration theory and its application to SANICLAY model. International Journal for Numerical and Analytical Methods in Geomechanics, 2010,24:723-735
[29]	Asaoka A, Noda T, Yamada E , et al. An elstoplastic description of two distinct volume change mechanisms of soils. Soils and Foundations, 2000,42(5):47-57
[30]	Sun D, Matsuoka H, Yao YP , et al. An elasto-plastic model for unsaturated soil in three-dimensional stresses. Soils and Foundations, 2000,40(3):17-28
[31]	Zhou AN, Sheng DC, Carter JP . Modelling the effect of initial density on soil-water characteristic curves. Géotechnique, 2012,62(8):669-680
[32]	Gallipoli D, Wheeler S, Karstunen M . Modelling the variation of degree of saturation in a deformable unsaturated soil. Géotechnique, 2003,53(1):105-112
[33]	Cheng GD . Permafrost studies in the Qinghai-Tibet plateau for road construction. ASCE Journal of cold regions Engineering, 2005,19(1):19-29
[34]	Qi JL, MA W, Sun CS , et al. Seismic response of seasonally frozen ground. Cold Regions Sciences And Technology, 2006,44(2):111-120
[35]	Mortara G . A new yield and failure criterion for geomaterials. Géotechnique, 2008,58(2):125-132
[36]	Nakai T, Masuoka H . Shear behaviors of sand and clay under three-dimensional stress condition. Soils and Foundations, 1983,23(2):26-42
[37]	Mogi K . Fracture and flow of rocks under high triaxial compression. Journal of Geophysical Research, 1971,76(5):1255-1269
[38]	Lagioia R, Nova R . An experimental and theoretical study of the behaviour of a calcarenite in triaxial compression. Géotechnique, 1995,5(4):633-648
[39]	Nguyen D . Un concept de rupture unifié pour les matériaux rocheux derises et poreux. [PhD Thesis]. école Polytechnique de Montréal, 1972 ( in French)
[40]	Sun D, Matsuoka H, Yao YP , et al. An elasto-plastic model for unsaturated soil in three-dimensional %stresses. Soils and Foundations, 2000,40(3):17-28