有效应力原理在各向异性饱和土中的拓展与应用#br#

doi:10.13722/j.cnki.jrme.2019.0769

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Abstract The principal of effective stress is the foundation of soil mechanics. In this paper，two typical methods are used to analyze the inner stress of anisotropic soils in order to characterize the inhomogeneity of the internal stress and anisotropic mechanical behaviors of soil caused by the irregular shape and distribution of soil particles. The results show that，for anisotropic soils，the effective stress without considering the contact area of soil particles cannot describe the nonuniformity of the internal stress while the skeleton stress as a real stress can do. For ease of application，and referring to the physical connotation of the effective stress，an equivalent stress tensor is proposed to characterize the skeleton stress produced by all other external forces except for pore water pressure. The specific expression of the equivalent stress tensor is given with the fabric tensor，and the two-to-two conversion relations among effective stress，skeleton stress and equivalent stress are established. Moreover，using the equivalent stress to describe the soil skeleton stress and adopting existing constitutive model to simulate mechanical behaviors of soil skeleton，constitutive models of isotropic soils can be “anisotropized” without additional modification of the basic mechanical law of soils to realize the expansion of the principal of effective stress to anisotropic soils. Finally，as an example，the Lade¢s failure criterion is transformed into the equivalent Lade¢s failure criterion. Comparison with the existing experimental results proves that the expanded principle of effective stress is applicable to anisotropic geomaterials.

Key words： soil mechanics principal of effective stress skeleton stress equivalent stress anisotropy strength

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	Articles by authors
	DONG Tong1
	ZHE Mei1
	KONG Liang2
	LI Changjun1
	YANG Hui1
	FANG Yuyu1

Cite this article:

DONG Tong1,ZHE Mei1,KONG Liang2, et al. Expansion and application of the principle of effective stress in anisotropic saturated soils#br#[J]. , 2020, 39(5): 1040-1048.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2019.0769 OR https://rockmech.whrsm.ac.cn/EN/Y2020/V39/I5/1040

[1]    TERZAGHI K. The shearing resistance of saturated soils and the angle between the planes of shear[C]// Proceedings for the 1st International Conference on Soil Mechanics and Foundation Engineering (Cambridge，MA). Cambridge：[s. n.]，1936：54–56.
[2]    赵成刚，白冰，王运霞. 土力学原理[M]. 北京：清华大学出版社，2004：122–125.(ZHAO Chenggang，BAI Bing，WANG Yunxia. Principal of soil mechanics[M]. Bingjing：Tsinghua University Press，2004：122–125.(in Chinese))
[3]    杜修力，张佩，许成顺，等. 论有效应力原理与有效应力[J]. 岩土工程学报，2018，40(3)：486–494.(DU Xiuli，ZHANG Pei，XU Chengshun，et al. On principle of effective stress and effective stress[J]. Chinese Journal of Geotechnical Engineering，2018，40(3)：486–494.(in Chinese))
[4]    李广信. 关于有效应力原理的几个问题[J]. 岩土工程学报，2011，33(2)：315–320.(LI Guangxin. Some problems about principle of effective stress[J]. Chinese Journal of Geotechnical Engineering，2011，33(2)：315–320.(in Chinese))
[5]    YANG Y M，YU H S. A kinematic hardening soil model considering the principal stress rotation[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2013，37(13)：2 106–    2 134.
[6]    黄茂松，柳艳华. 天然软黏土屈服特性及主应力轴旋转效应的本构模拟[J]. 岩土工程学报，2011，33(11)：1 667–1 675.(HUANG Maosong，LIU Yanhua. Simulation of yield characteristics and principal stress rotation effects of natural soft clay[J]. Chinese Journal of Geotechnical Engineering，2011，33(11)：1 667–1 675. (in Chinese))
[7]    PIETRUSZCZAK S，MROZ Z. Formulation of anisotropic failure criteria incorporating a microstructure tensor[J]. Computers and Geotechnics，2000，26(2)：105–112.
[8]     LI X S，DAFALIAS Y F. Constitutive modeling of inherently anisotropic sand behavior[J]. Journal of Geotechnical and Geoenvironmental Engineering，2002，128(10)：868–880.
[9]     董彤，郑颖人，刘元雪，等. 考虑主应力轴旋转的土体本构关系研究进展[J]. 应用数学和力学，2013，34(4)：327–335.(DONG Tong，ZHENG Yingren，LIU Yuanxue，et al. Research progress of the soil constitutive relation considering principal stress axes rotation.[J]. Applied Mathematics and Mechanics，2013，34(4)：327–335.(in Chinese))
[10]   CARROLL M M. Mechanical response of fluid-saturated porous materials[C]// Procedings of the 15th International Congress of Theoretical and Applied Mechanics. New York：North-Holland，1980：251–261.
[11]   CHANG C S，CHUNG Y，KABIR M G . Micromechanics modeling for stress‐strain behavior of granular soils. I：theory[J]. Journal of Geotechnical Engineering，1992，118(12)：1 959–1 974.
[12]   钱建固，黄茂松. 土体塑性各向异性的微宏观机制分析[J]. 岩土力学，2011，32(增2)：88–93.(QIAN Jiangu，HUANG Maosong. Micro-macro mechanismic analysis of plastic anisotropy in soil[J]. Rock and Soil Mechanics，2011，32(Supp.2)：88–93. (in Chinese)
[13]   TOBITA Y. Fabric tensors in constitutive equations for granular materials[J]. Soils and Foundations，1989，29(4)：91–104.
[14]   董彤，孔亮，郑颖人，等. 颗粒材料的组构–应力关系与等效应力法[J]. 2018，37(7)：1 741–1 747.(DONG Tong，KONG Llaing，ZHENG Yingren，et al. The fabric-stress relationship and the equivalent stress method of granular materials[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(7)：1 741–1 747.(in Chinese))
[15]   YAO Y，TIAN Y，GAO Z. Anisotropic UH model for soils based on a simple transformed stress method[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2017，41(1)：54–78.
[16]   孙其诚，程晓辉，季顺迎，等. 岩土类颗粒物质宏–细观力学研究进展[J]. 力学进展，2011，41(3)：351–371.(SUN Qicheng，CHENG Xiaohui，JI Shunying，et al. Advances in the micro-macro mechanics of granular soil materials[J]. Advances in Mechanics，2011，41(3)：351–371.(in Chinese))
[17]   陈正汉. 非饱和土与特殊土力学的基本理论研究[J]. 岩土工程学报，2014，36(2)：201–272.(CHEN Zhenghan. On basic theories of unsaturated soils and special soils[J]. Chinese Journal of Geotechnical Engineering，2014，36(2)，201–272.(in Chinese))
[18]   邵龙潭，郭晓霞，郑国锋. 粒间应力、土骨架应力和有效应力[J]. 岩土工程学报，2015，37(8)：1 478–1 483.(SHAO Longtan，GUO Xiaoxia，ZHENG Guofeng. Intergranular stress，soil skeleton stress and effective stress[J]. Chinese Journal of Geotechnical Engineering，2015，37(8)：1 478–1 483.(in Chinese))
[19]   ODA M. Inherent and induced anisotropy in plasticity theory of granular soils[J]. Mechanics of Materials，1993，16(1)：35–45.
[20]   DONG T，KONG L，ZHE M，et al. Anisotropic failure criterion for soils based on equivalent stress tensor[J]. Soils and Foundations，2019. https：//doi.org/10.1016/j.sandf.2019. 02.001.
[21]   孔亮，彭仁. 颗粒形状对类砂土力学性质影响的颗粒流模拟[J]. 岩石力学与工程学报，2011，30(10)：2 112–2 119.(KONG Liang，PENG Ren. Particle flow simulation of influence of particle shape on mechanical properties of quasi-sands[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(10)：2 112–2 119.(in Chinese))
[22]   LADE P V. Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces[J]. International Journal of Solids and Structures，1977，13(11)：1 019–1 035.
[23]   ABELEV A V，LADE P V. Effects of cross anisotropy on three-dimensional behavior of sand. I：stress-strain behavior and shear banding[J]. Journal of Engineering Mechanics，2003，129(2)：160–165.
[24]   LADE P V，RODRIGUEZ N M，DYCK E J. V. Effects of principal stress directions on 3D failure conditions in cross-anisotropic sand[J]. Journal of Geotechnical and Geoenvironmental Engineering，2014，140(2)：04013001.