基于双剪统一强度理论的地基承载力计算方法研究

doi:10.13722/j.cnki.jrme.2021.0159

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (450 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract In order to solve the problem that the intermediate principal stress is not considered in the traditional foundation bearing capacity formula，the Mohr-Coulomb yield criterion describing the limit equilibrium state of foundation soils is replaced with the double shear unified strength theory considering the action of the intermediate principal stress. Using mathematical derivation and computer programming methods，the parameter substitution method and theoretical derivation methods(including explicit and implicit theory derivation methods) for calculating the foundation bearing capacity are proposed. Firstly，the expression of the double shear yield function expressed by the shear strength parameter is derived by assuming compression being positive. Then，the applicable condition and substitution steps of the parameter substitution method are put forward，and the unified internal friction angle and unified cohesion under plane strain condition are derived. The applicable conditions of the theoretical derivation methods are also proposed，and the calculation steps of the implicit theory derivation method are encapsulated into F-C functions using MATLAB software. Finally，the parameter substitution method and theoretical derivation method are used to calculate the foundation bearing capacity of a typical shallow strip foundation. The results show that the foundation bearing capacity calculated by the parameter substitution method is consistent with that by the theoretical derivation method，and the foundation bearing capacity increases with increasing the influence coefficient of the intermediate principal stress. To sum up，both the parameter substitution method and the theoretical derivation method are applicable for the calculation of the foundation bearing capacity，the contribution of the intermediate principal stress to the foundation bearing capacity cannot be ignored，and the foundation bearing capacity calculated based on the twin shear unified strength theory is more reasonable.

Key words： foundations double shear unified strength theory critical plastic load critical load uniform internal friction angle unified cohesion

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	YANG Jiqiang
	SUN Xin
	CUI Xiangdong

Cite this article:

YANG Jiqiang,SUN Xin,CUI Xiangdong. Research on calculation method of foundation bearing capacity based on double shear unified strength theory[J]. , 2021, 40(9): 1923-1932.

URL:

http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.0159 OR http://rockmech.whrsm.ac.cn/EN/Y2021/V40/I9/1923

[2]	LABUZ J F，ZANG A. Mohr-Coulomb failure criterion[J]. Rock Mechanics and Rock Engineering，2012，45(6)：975-979.
[12]	YU M H，MA G W，QIANG H F，et al. Generalized plasticity[M]. Berlin/Heidelberg：Springer-Verlag，2006：226-227.
[7]	DENG L S，FAN W，YIN Y P，et al. Parametric study of the unified strength theory for a loess foundation supporting a strip footing[J]. Environmental Earth Sciences，2019，78(12)：344.
[9]	罗丹旎，李庆斌，胡昱，等. 基于统一强度理论的高强混凝土强度准则[J]. 水利学报，2015，46(1)：74-82.(LUO Danni，LI Qingbin，HU Yu，et al. Strength criterion for high-strength concrete based on the unified strength theory[J]. Journal of Hydraulic Engineering，2015，46(1)：74-82.(in Chinese))
[17]	GUO Q，PAN J，WU X，et al. A new unified solution for circular tunnels based on generalized smp criterion considering the strain softening and dilatancy[J]. Advances in Civil Engineering，2019，2019：1-10.
[19]	高江平，杨华，蒋宇飞，等. 三剪应力统一强度理论研究[J]. 力学学报，2017，49(6)：1 322-1 334.(GAO Jiangping，YANG Hua，JIANG Yufei，et al. Research on the unified strength theory of three-shear stress[J]. Chinese Journal of Theoretical and Applied Mechanics，2017，49(6)：1 322-1 334.(in Chinese))
[4]	陈昊，胡小荣. 非饱和土三剪强度准则及验证[J]. 岩土力学，2020，41(7)：2 380-2 388.(CHEN Hao，HU Xiaorong. Three-shear strength criterion and verification of unsaturated soils[J]. Rock and Soil Mechanics，2020，41(7)：2 380-2 388.(in Chinese))
[14]	JIANG H. Simple three-dimensional Mohr-Coulomb criteria for intact rocks[J]. International Journal of Rock Mechanics and Mining Sciences，2018，105：145-159.
[5]	SUN S，ZHAO J，ZHANG C. Calculation of silo wall pressure considering the intermediate stress effect[J]. Advances in Civil Engineering，2018，2018：3673515.
[15]	MA X，RUDNICKI J W，HAIMSON B C. The application of a Matsuoka-Nakai-Lade-Duncan failure criterion to two porous sandstones[J]. International Journal of Rock Mechanics and Mining Sciences，2017，92：9-18.
[25]	XIAO Z，TIAN Y，GOURVENEC S. A practical method to evaluate failure envelopes of shallow foundations considering soil strain softening and rate effects[J]. Applied Ocean Research，2016，59：395-407.
[22]	江强，朱建明. Lade-Duncan破坏准则在地基承载力计算中的应用[J]. 岩石力学与工程学报，2005，24(18)：3 262-3 265.(JIANG Qiang，ZHU Jianming. Application of Lade-Duncan failure criterion in calculation of foundation bearing capacity[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(18)：3 262-3 265.(in Chinese))
[24]	KANG T，LI Q，ZHANG Q. Numerical analysis of the balanced implicit method for stochastic age-dependent capital system with poisson jumps[J]. Applied Mathematics and Computation，2019，353：166-177.
[27]	高大钊，徐超，熊启东. 天然地基上的浅基础[M]. 北京：机械工业出版社，1999：90-92.(GAO Dazhao，XU Chao，XIONG Qidong. Shallow foundation on natural foundation[M]. Beijing：China Machine Press，1999：90-92.(in Chinese))
[29]	朱俊高，蒋明杰，陆阳洋，等. 应力状态对粗颗粒土静止侧压力系数影响试验研究[J]. 岩土力学，2019，40(3)：827-833.(ZHU Jungao，JIANG Mingjie，LU Yangyang，et al. Experimental study on the influence of stress state on the coefficient of static lateral pressure of coarse-grained soil[J]. Rock and Soil Mechanics，2019，40(3)：827-833.(in Chinese))
[1]	李东侠，徐光华. 土力学与地基基础[M]. 北京：北京理工大学出版社，2013：106-109.(LI Dongxia，XU Guanghua. Soil mechanics and foundations[M]. Beijing：Beijing Institute of Technology Press，2013：106-109.(in Chinese))
[28]	赵琦，朱建明. 基于三种强度准则下地基承载力的计算[J]. 工业建筑，2013，43(1)：61-66.(ZHAO Qi，ZHU Jianming. Calculation of foundation bearing capacity based on three strength criteria[J]. Industrial Construction，2013，43(1)：61-66.(in Chinese))
[3]	高江平，杨继强，孙昕. 考虑双剪中主应力影响系数的D-P系列屈服准则研究[J]. 岩石力学与工程学报，2021，40(6)：1 081-1 091. (GAO Jiangping，YANG Jiqiang，SUN Xin. Research on D-P series yield criterion considering the influence coefficient of intermediate principal stress in twin shear[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(6)：1 081-1 091.(in Chinese))
[6]	俞茂宏. 双剪理论及其应用[M]. 北京：科学出版社，2019：59-287.(YU Maohong. Double shear theory and its application[M]. Beijing：Science Press，2019：59-287.(in Chinese))
[8]	陶俊林，李奎，刘彤. 一个改进的混凝土非线性双剪切强度准则[J]. 应用力学学报，2011，28(4)：439-442.(TAO Junlin，LI Kui，LIU Tong. An improved nonlinear double shear strength criteria for concrete[J]. Chinese Journal of Applied Mechanics，2011，28(4)：439-442.(in Chinese))
[10]	ZHENG W，BU Q，HU Y. Plastic failure analysis of roadway floor surrounding rocks based on unified strength theory[J]. Advances in Civil Engineering，2018，2018：7475698.
[11]	范文，林永亮. 基于统一强度理论的地基临界荷载公式[J]. 长安大学学报：地球科学版，2003，(3)：48-51.(FAN Wen，LIN Yongliang. Foundation critical load formula based on unified strength theory[J]. Journal of Chang¢an University：Earth Science，2003，(3)：48-51.(in Chinese))
[13]	隋凤涛，王士杰. 统一强度理论在地基承载力确定中的应用研究[J]. 岩土力学，2011，32(10)：3 038-3 042.(SUI Fengtao，WANG Shijie. Research on the application of unified strength theory in the determination of foundation bearing capacity[J]. Rock and Soil Mechanics，2011，32(10)：3 038-3 042.(in Chinese))
[16]	WANG S，ZHONG Z，LIU X. Development of an anisotropic nonlinear strength criterion for geomaterials based on smp criterion[J]. International Journal of Geomechanics，2020，20(3)：04019183.
[18]	ZHAO G F，LIAN J，RUSSELL A，et al. Implementation of a modified Drucker-Prager model in the lattice spring model for plasticity and fracture[J]. Computers and Geotechnics，2019，107：97-109.
[30]	隋凤涛，王士杰，马建超. 新的临界荷载计算公式[J]. 河北农业大学学报，2009，32(5)：94-97.(SUI Fengtao，WANG Shijie，MA Jianchao. New calculation formula for critical load[J]. Journal of Hebei Agricultural University，2009，32(5)：94-97.(in Chinese))
[20]	高江平，刘雯支，杨继强. 基于三剪应力统一强度理论的硬壳层软土地基承载力公式[J]. 岩土工程学报，2019，41(12)：2 331-2 337. (GAO Jiangping，LIU Wenzhi，YANG Jiqiang. Formula of bearing capacity of hard shell soft soil based on unified shear strength theory of three shear stress[J]. Chinese Journal of Geotechnical Engineering，2019，41(12)：2 331-2 337.(in Chinese))
[21]	张玉，邵生俊，王丽琴，等. 平面应变条件下土的强度准则分析及验证[J]. 岩土力学，2015，36(9)：2 501-2 509.(ZHANG Yu，SHAO Shengjun，WANG Liqin，et al. Analysis and verification of soil strength criteria under plane strain conditions[J]. Rock and Soil Mechanics，2015，36(9)：2 501-2 509.(in Chinese))
[23]	QIU S，HOU Y，MING H X G. An implicit method for probabilistic common-cause failure analysis using bayesian network[J]. IFAC-Papers on Line，2018，51(24)：1 037-1 042.
[26]	ALGULIN J，PEDERSEN B. Modelling of a piled raft foundation as a plane strain model in PLAXIS2D[M. S. Thesis][D]. Göteborg，Sweden：Chalmers University of Technology，2014.