|
|
|
| ANALYSIS OF EXPANDED RADIUS AND INTERNAL EXPANDING PRESSURE OF CYLINDRICAL HOLE |
| JIA Shanghua1，2，ZHAO Chunfeng1，2，ZHAO Cheng1，2 |
| (1. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education，Tongji University，Shanghai 200092，China；2. Department of Geotechnical Engineering，Tongji University，Shanghai 200092，China) |
|
|
|
|
Abstract The expansion of cylindrical hole in sand was analyzed based on the yielding criterion of spatially mobilized plane(SMP). A theoretical relationship among the initial radius a0，the expanded radius a and the expanding pressure p of the cylindrical hole was derived employing the boundary conditions of plastic zone and the volumetric variation of soil around the cylindrical hole. The limit pressure of expansion pu and the stress and displacement fields in the elastoplastic zone were obtained with the theoretical relationship. A theoretical relationship among the radius of the plastic zone rp and the expanding pressure and initial radius a0 was derived under the plane strain condition. The limit bearing capacity of a pile in granular material was deduced by using the stress field formula. Finally，an example was presented to illustrate the variations of the stress and displacement fields，the radius of plastic zone a0 and the expanding pressure p.
|
|
Received: 20 January 2014
|
|
|
|
| [1] VESIC A S. Expansion of cavities in infinite soil mass[J]. Journal of the Soil Mechanics and Foundations Division，ASCE，1972，98(SM3)：265–290.
[2] YU H S. Cavity expansion methods in geomechanics[M]. A H Dordrecht：Kluwer Academic，2000：16–18.
[3] CAO L F，TEH C I，CHANG M F. Undrained cavity expansion in modified Cam clay I：theoretical analysis[J]. Geotechnique，2001，51(4)：323–334.
[4] 邹金锋，吴亚中，李 亮，等. 考虑大变形和排水条件时柱孔扩张问题统一解析[J]. 工程力学，2010，27(6)：1–7.(ZOU Jinfeng，WU Yazhong，LI Liang，et al. Unified elastic plastic solution for cylindrical cavity expansion considering large strain and drainage condition[J]. Engineering Mechanics，2010，27(6)：1–7.(in Chinese))
[5] 邹金锋，彭建国，张进华，等. 基于非线性Mohr-Coulomb强度准则下的扩孔问题解析[J]. 土木工程学报，2009，42(7)：90–97.(ZOU Jinfeng，PENG Jianguo，ZHANG Jinhua，et al. Analytical solution of cavity expansion with the nonlinear Mohr-Coulomb failure rule[J]. China Civil Engineering Journal，2009，42(7)：90–97.(in Chinese))
[6] 刘时鹏，施建勇，雷国辉. 基于SMP准则柱孔扩张问题相似解[J]. 岩土力学，2012，33(5)：1 375–1 380.(LIU Shipeng，SHI Jianyong，LEI Guohui. Similarity solutions of cylindrical cavity expansion based on SMP criterion[J]. Rock and Soil Mechanics，2012，33(5)：1 375– 1 380.(in Chinese))
[7] 章定文，刘松玉，顾沉颖. 各向异性初始应力状态下圆柱孔扩张理论弹塑性分析[J]. 岩土力学，2009，30(6)：1 631–1 634.(ZHANG Dingwen，LIU Songyu，GU Chenying. Elastoplastic analysis of cylindrical cavity expansion with anisotropic initial stress[J]. Rock and Soil Mechanics，2009，30(6)：1 631–1 634.(in Chinese))
[8] 饶平平，李镜培，张常光. 考虑各向异性、剪胀和渗流的柱孔扩张问题统一解[J]. 岩土力学，2010，31(增2)：79–85.(RAO Pingping，LI Jingpei，ZHANG Changguang. Unified solutions of cylindrical cavity expansion considering anisotropy，shear dilation and seepage[J]. Rock and Soil Mechanics，2010，31(Supp.2)：79–85.(in Chinese))
[9] 肖昭然，张 昭，杜明芳. 饱和土体小孔扩张问题的弹塑性解析解[J]. 岩土力学，2004，25(9)：1 373–1 378.(XIAO Zhaoran，ZHANG Zhao，DU Mingfang. An elastoplastic closed-form approach of cavity expansion in saturated soil based on modified Cam clay model[J]. Rock and Soil Mechanics，2004，25(9)：1 373–1 378.(in Chinese))
[10] 胡 伟，刘明振. 非饱和土中球形孔扩张的弹塑性分析[J]. 岩土工程学报，2006，28(10)：1 292–1 297.(HU Wei，LIU Mingzhen. Elastic-plastic solution of expansion of sphere cavity in unsaturated soils[J]. Chinese Journal of Geotechnical Engineering，2006，28(10)：1 292–1 297.(in Chinese))
[11] 刘维正，石名磊，徐林荣. 考虑软黏土结构性损伤的圆柱孔扩张弹塑性分析[J]. 岩土工程学报，2013，35(3)：487–494.(LIU Weizheng，SHI Minglei，XU Linrong. Elastoplastic analysis of cylindrical cavity expansion in natural sedimentary soft clay with structure damage[J]. Chinese Journal of Geotechnical Engineering，2013，35(3)：487–494.(in Chinese))
[12] 韩同春，豆红强. 柱孔扩张理论的空间轴对称解在沉桩挤土效应中的应用[J]. 岩石力学与工程学报，2012，31(增1)：3 209–3 215. (HAN Tongchun，DOU Hongqiang. Application of space axisymmetric solutions of cavity expansion to soil squeezing of pile driving[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(Supp.1)：3 209–3 215.(in Chinese))
[13] CAO L F，TEH C I，CHANG M F. Analysis of undrained cavity expansion in elastoplastic soils with nonlinear elasticity[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2002，26(1)：25–52.
[14] 刘时鹏，施建勇，雷国辉，等. K0固结饱和土柱孔扩张问题弹塑性分析[J]. 岩土力学，2013，34(2)：389–394.(LIU Shipeng，SHI Jianyong，LEI Guohui，et al. Elastoplastic analysis of cylindrical cavity expansion in K0 consolidated saturated soils[J]. Rock and Soil Mechanics，2013，34(2)：389–394.(in Chinese))
[15] 罗 汀，姚仰平，松岡元. 基于SMP准则的土的平面应变强度公式[J]. 岩土力学，2000，21(4)：390–393.(LUO Ting，YAO Yangping，MATSUOKA Hajime. Soil strength equation in plane strain based on SMP[J]. Rock and Soil Mechanics，2000，21(4)：390–393.(in Chinese))
[16] 迟明杰. 砂土的剪胀性及本构模型的研究[博士学位论文][D]. 北京：北京交通大学，2008.(CHI Mingjie. Study on the dilataney and constitutive model of sand[Ph. D. Thesis][D]. Beijing：Beijing Jiaotong University，2008.(in Chinese))
[17] ISHIHARA K，TATSUOKA F，YASUADA S. Undrained deformation and liquefaction of sand under cyclic stress[J]. Soils and Foundations，1975，15(1)：29–44.
[18] WOOD D M. Soil behaviour and critical state soil mechanics[M]. New York：Cambridge University Press，1990：226–251.
[19] 罗承昌. 等主应力比路径砂土的弹塑性本构方程[硕士学位论文][D].华中科技大学，2006.(LUO Chengchang. Elastic-plastic constitutive model for sand under constant principal stress ratio path [M. S. Thesis][D]. Wuhan：Huazhong University of Science and Technology，2006.(in Chinese)) |
|
|
|
2015, Vol. 34 
