土的σ<sup>1/3</sup>空间滑动面强度准则及其与传统准则的比较研究

doi:10.11779/CJGE201504001

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (1586 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要土的抗剪强度与其剪切破坏面上的正应力一般呈线性关系,反映了土的剪切强度本质特性。常用的强度准则有Mohr-Coulomb准则、Drucker-Prager屈服准则、Matsuoka-Nakai准则,分别对应于与大主应力呈45°+φ/2的剪切破坏面、八面体面和空间滑动面（SMP）上的剪应力比为常数的关系。本文提出了一种由κσ₁^1/3,κσ₂^1/3,κσ₃^1/3确定土单元大、中、小主应力轴交点的空间滑动面,称为σ^1/3空间滑动面;建立了σ^1/3空间滑动面剪应力比为常数的准则,称为σ^1/3空间滑动面强度准则,该准则在应力空间描述的强度破坏面为平面上呈曲边三角形形态的光滑锥面。进行了Mohr-Coulomb强度准则、Drucker-Prager强度准则、Matsuoka-Nakai强度准则与Lade-Duncan强度准则、σ^1/3空间滑动面强度准则在应力空间描述强度破坏面的比较分析,以及不同平面上Lade-Duncan准则和σ^1/3空间滑动面强度准则随b值的变化规律。结果表明Lade-Duncan强度准则与σ^1/3空间滑动面强度准则近似一致,从而揭示了Lade-Duncan强度准则的物理本质基础：Lade-Duncan强度准则实质上近似服从土破坏时σ^1/3空间滑动面上剪应力与正应力呈线性变化的规律。即Lade-Duncan强度准则描述土单元剪切破坏时的空间滑动面近似为σ^1/3空间滑动面。根据4种原状黄土固结排水条件下的真三轴压缩试验结果,验证了σ^1/3空间滑动面强度准则的合理性与可靠性。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	邵生俊
	张玉
	陈昌禄
	邵帅

关键词 ：土的强度, σ, 1/3空间滑动面, σ, ^1/3空间滑动面准则, 黄土, 真三轴试验

Abstract：The linear relation between shear strength and normal stress of failure plane shows the essential property of soil shear strength. The Mohr-Coulomb criterion, Drucker-Prager yield criterion and Matsuoka-Nakai criterion respectively respond to the linear relationship between shear stress and normal stress on different shear failure planes including shear failure plane with the angle of 45°+φ/2 relating to the plane of the main principal stress, the octahedral plane in the principal stress space of soil element and the spatially mobilized plane named also σ^1/2 spatially mobilized plane. In this paper, new σ^1/3 spatially mobilized plane is proposed using three points κσ₁^1/3, κσ₂^1/3, κσ₃^1/3 in the soil element in the principal stress axes, named as the σ^1/3 spatially mobilized plane. Furthermore, the new strength criterion is also proposed using the shear stress ratio on theσ^1/3spatial mobilization plane being constant. The strength failure surface depicted in the principal stress space by this criterion is a smooth cone surface with the curved triangle shape on plane. The strength failure surfaces of Mohr-Coulomb criterion, Drucker-Prager yield criterion, Matsuoka-Nakai criterion, Lade-Duncan criterion and σ^1/3 spatially mobilized plane criterion described in the stress space as well as the change laws of Lade-Duncan criterion and σ^1/3 spatially mobilized plane criterion with parameter b on different π planes are comparatively analyzed. It is shown that the Lade-Duncan criterion and σ^1/3 spatially mobilized plane strength criterion are approximate, which reveals the physical essence of Lade-Duncan strength criterion, that is, the former approximately obeys the linear relationship between shear stress and normal stress onσ^1/3 spatially mobilized plane at failure of soils. The

Key words： soil strength σ^1/3 spatially mobilized plane σ^1/3 spatially mobilized plane criterion loess true triaxial test

收稿日期: 2014-08-21

基金资助:国家自然科学基金项目（41272320）; 陕西省教育厅省级重

作者简介: 邵生俊(1964- ),男,甘肃武威人,教授,博士生导师,从事土动力学与黄土力学研究。E-mail: sjshao@xaut.edu.cn。

引用本文:

邵生俊, 张玉, 陈昌禄, 邵帅. 土的σ^1/3空间滑动面强度准则及其与传统准则的比较研究[J]. 岩土工程学报, 2015, 37(4): 577-585. SHAO Sheng-jun, ZHANG Yu, CHEN Chang-lu, SHAO Shuai. Strength criterion based on σ^1/3 spatially mobilized plane of soils and its comparison with conventional criteria. Chinese J. Geot. Eng., 2015, 37(4): 577-585.

链接本文:

http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/10.11779/CJGE201504001 或 http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/Y2015/V37/I4/577

[1] MOHR O. Abhandlungen aus den gebiete der technischen mechanik[M]. 3rd ed. Verlag von Wilhelm: Ernst & Sohn, 1928.
[2] DRCKER D C, PRAGER W. Soil mechanics and plastic analysis for limit design[J]. Quart Appl Mech, 1952, 10: 157-165.
[3] MATSUOKA H, NAKAI T. Stress-deformation and strength characteristics of soil under three difference principal stresses[J]. Proc of Japan Society of Civil Engineers, 1974, 232: 59-70.
[4] LADE P V, DUNCAN J M. Cubical triaxial tests on cohesionless soils[J]. Soil Mechanics and Foundation Division, ASCE, 1973, 99(10): 793-812.
[5] 邵生俊, 许萍, 陈昌禄. 土的剪切空间滑动面分析及各向异性强度准则研究[J]. 岩土工程学报, 2013, 35(3): 422-435. (SHAO Sheng-jun, XU Ping, CHEN Chang-lu. Several shear spatially mobilized planes and anisotropic strength criteria of soils[J]. Chinese Journal of GeotechnicalEngineering, 2013, 35(3): 422-435. (in Chinese))
[6] YU M H, HE L N. A new model and theory on yield and failure of materials under the complex stress state[J]. Mechanical Behavior of Materials, 1992(6): 841-846.
[7] 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[J]. 中国科学(E辑), 2004, 34(11): 1283-1299. (YAO Yang-ping, LU De-chun, ZHOU An-nan, et al. The generalized nonlinear strength theory and transformed stress space[J]. Science in China (Ser E), 2004, 34(11): 1283-1299. (in Chinese))
[8] 陈昌禄, 邵生俊, 罗爱忠, 等. 结构性对原状黄土强度影响规律的真三轴试验研究[J]. 岩土工程学报, 2013, 35(12): 2322-2327. (CHEN Chang-lu, SHAO Sheng-jun, LUO Ai-zhong, et al. The structural effects of intact loess strength under the true triaxial test[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(12): 2322-2327. (in Chinese))
[9] 邵生俊, 邓国华. 原状黄土的结构性强度特性及其在黄土隧道围岩压力分析中的应用[J]. 土木工程学报, 2008, 41(11): 93-98. (SHAO Sheng-jun, DENG Guo-hua. The strength characteristics of loess with different structures and its application in analyzing the earth pressure on loess tunnel[J]. China Civil Engineering Journal, 2008, 41(11): 93-98. (in Chinese))
[10] 陈昌禄, 邵生俊, 邓国华. 土的结构性参数与强度的关系及其在边坡稳定性分析中的应用[J]. 中南大学学报 (自然科学版), 2010, 41(1): 328-334. (CHEN Chang-lu, SHAO Sheng-jun, DENG Guo-hua. Relationship between soil structural parameters and strength and its application in slope stability analysis[J]. Journal of Central South University (Natural Science), 2010, 41(1): 328-334. (in Chinese))
[11] 陈昌禄, 邵生俊, 佘芳涛. 土结构性变化对开挖边坡稳定性的影响分析[J]. 岩土工程学报, 2011, 33(12): 1938-1944. (CHEN Chang-lu, SHAO Sheng-jun, SHE fang-tao. Impact of structural change of soils on stability in slope excavation[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(12): 1938-1944. (in Chinese))
[12] 邢义川, 刘祖典, 郑颖人. 黄土的破坏条件[J]. 水利学报, 1992, 37(1): 13-18. (XING Yi-chuan, LIU Zu-dian, ZHENG Ying-ren. A failure criterion of loess[J]. Journal of Hydraulic Engineering, 1992, 37(1): 13-18. (in Chinese))
[13] 邵生俊, 罗爱忠, 邓国华, 等. 一种新型真三轴仪的研制与开发[J]. 岩土工程学报, 2009, 31(8): 1172-1179. (SHAO Sheng-jun, LUO Ai-zhong, DENG Guo-hua, et al. Development of a new true tri-axial apparatus[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(8): 1172-1179. (in Chinese))