Advanced Search
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊
  • Scopus数据库收录期刊
Volume 39 Issue 12
Turn off MathJax
Article Contents
Abstract
References
Related Articles
GAO Meng, ZHANG Ji-yan, WANG Ying, CHAO Ming-song, CHEN Qing-shen. Exact solutions for dynamic responses of a cylindrical lined tunnel in saturated soil to internal blast loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(12): 2304-2311. DOI: 10.11779/CJGE201712020
Citation: GAO Meng, ZHANG Ji-yan, WANG Ying, CHAO Ming-song, CHEN Qing-shen. Exact solutions for dynamic responses of a cylindrical lined tunnel in saturated soil to internal blast loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(12): 2304-2311. DOI: 10.11779/CJGE201712020
shu

Exact solutions for dynamic responses of a cylindrical lined tunnel in saturated soil to internal blast loads

  • 1. Shandong University of Science and Technology, Shandong Province Key Laboratory of Civil Engineering & Disaster Prevention and Mitigation, Qingdao 266590, China;;
    2. Institute of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao 266590, China;
    3. Department of Civil and Environmental Engineering, National University of Singapore, Singapore 119077, Singapore

More Information
  • Received Date: November 13, 2016
  • Published Date: December 24, 2017
    Graphical Abstract
    • Abstract
  • The dynamic response of tunnels under internal explosion in reality is a three-dimensional geotechnical problem, however, it is often simplified as a plane strain problem in 2D model which can only deal with the dynamic responses of tunnels at the source of explosion. To evaluate the damage of the explosion to the surrounding areas of the tunnel apart from the section at the source of explosion, a set of exact solutions for the three-dimensional dynamic responses of a cylindrical lined tunnel in saturated soil due to internal blast loads are derived by using the Fourier transform and Laplace transform. The surrounding soil is modelled as the saturated medium based on the Biot theory and the lining structure modeled as the elastic medium. By utilizing a reliable and efficient numerical method for the inverse Laplace transform and Fourier transform, the numerical solutions for the dynamic responses of the lining and surrounding soil are obtained. The 3D dynamic responses of the lined tunnel and the surrounding saturated soil medium due to internal blast loads are then presented and discussed. The results show that (a) compared to the simplified 2D plane strain model, the 3D model yields smaller predictions in the hoop stresses, radial displacements, and pore water pressures; (b) the dynamic responses of tunnels decrease sharply in an oscillating manner as the time elapses, while such responses attenuate exponentially with the increasing distance away from the explosion source center at both radial and axial directions of the tunnel.
    • FullText(HTML)
    • References (16)
  • [1]
    SENJUNTICHAI T, RAJAPAKSE R. Transient response of a circular cavity in a poroelastic medium[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1993, 17(6): 357-383.
    [2]
    KATTIS S E, BESKOS D E, CHENG A H D. 2D dynamic response of unlined and lined tunnels in poroelastic soil to harmonic body waves[J]. Earthquake Engineering and Structural Dynamics, 2003, 32: 97-110.
    [3]
    OSINOV V A. Blast-induced waves in soil around a tunnel[J]. Archive of Applied Mechanics, 2011, 81(5): 543-559.
    [4]
    徐长节, 蔡袁强. 黏弹性饱和土中球空腔的动力响应[J]. 土木工程学报, 2001, 34(4): 88-92. (XU Chang-jie, CAI Yuan-qiang. Dynamic response of spherical cavity in viscoelastic saturated soils[J]. China Civil Engineering Journal, 2001, 34(4): 88-92. ( in Chinese))
    [5]
    徐长节, 马晓华. 黏弹性准饱和土中球空腔的动力响应[J]. 岩土力学, 2005, 26(8): 1189-1194. (XU Chang-jie, MA Xiao-hua. Dynamic response of spherical cavity in nearly saturated viscoelastic soils[J]. Rock and Soil Mechanics, 2005, 26(8): 1189-1194. ( in Chinese))
    [6]
    刘干斌, 谢康和, 施祖元. 黏弹性饱和多孔介质中圆柱孔洞的频域响应[J]. 力学学报, 2004, 36(5): 557-563. (LIU Gan-bin, XIE Kang-he, SHI Zu-yuan. Frequency response of a cylindrical cavity in poro-viscoelastic saturated medium[J]. Acta Mechanica Sinica, 2004, 36(5): 557-563. (in Chinese))
    [7]
    高 盟, 高广运, 王 滢, 等. 饱和土与衬砌动力相互作用的圆柱形孔洞内源问题解答[J]. 固体力学学报, 2009, 30(5): 481-488. (GAO Meng, GAO Guang-yun, WANG Ying, et al. A solution on the internal source problem of a cylindrical cavity considering the dynamic interaction between lining and saturated soil[J]. Chinese Joural of Solid Mechanics, 2009, 30(5): 481-488. ( in Chinese))
    [8]
    高 盟, 高广运, 王 滢, 等. 均布突加荷载作用下圆柱形衬砌振动响应的解析解[J]. 岩土工程学报, 2010, 32(2): 237-242. (GAO Meng, GAO Guang-yun, WANG Ying, et al. Analytical solution on dynamic response of lining subjected to sudden internal uniform loading[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(2): 237-242. (in Chinese))
    [9]
    高 盟, 高广运, 李大勇. 考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应[J]. 岩土工程学报, 2011, 33(6): 862-868. (GAO Meng, GAO Guang-yun, LI Da-yong. Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(6): 862-868. ( in Chinese))
    [10]
    GAO M, WANG Y, GAO G Y, et al. An analytical solution for the transient response of a cylindrical lined cavity in a poroelastic medium[J]. Soil Dynamics and Earthquake Engineering, 2013, 46: 30-40.
    [11]
    蔡袁强, 陈成振, 孙宏磊. 黏弹性饱和土中隧道在爆炸荷载作用下的动力响应[J]. 浙江大学学报(工学版), 2011, 45(9): 1657-1663. (CAI Yuan-qiang, CHEN Cheng-zhen, SUN Hong-lei. Dynamic response of tunnel in viscoelastic saturated soil subjected to blast loads[J]. Journal of Zhejiang University (Engineering Science), 2011, 45(9): 1657-1663. (in Chinese))
    [12]
    蔡袁强, 陈成振, 孙宏磊. 爆炸荷载作用下饱和土中隧道的瞬态动力响应[J]. 岩土工程学报, 2011, 33(3): 361-367. (CAI Yuan-qiang, CHEN Cheng-zhen, SUN Hong-lei. Transient dynamic response of tunnels subjected to blast loads in saturated soil[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(3): 361-367. (in Chinese))
    [13]
    高华喜, 闻敏杰. 内水压作用下黏弹性饱和土-隧洞衬砌相互作用[J]. 工程力学, 2013, 30(3): 289-296. (GAO Hua-xi, WEN Min-jie. Interaction of viscoelastic saturated soil and tunnel lining subject to ininer water pressure[J]. Engineering Mechanics, 2013, 30(3): 289-296. (in Chinese))
    [14]
    王 滢, 高广运. 准饱和土中圆柱形衬砌的瞬态动力响应分析[J]. 岩土力学, 2015, 36(12): 3400-3409. (WANG Ying, GAO Guang-yun. Analysis of transient dynamic response of cylindrical lined cavity in nearly saturated soil[J]. Rock and Soil Mechanics, 2015, 36(12): 3400-3409. (in Chinese))
    [15]
    王 滢, 高广运. 饱和半空间瞬态加载衬砌隧道的动力响应研究[J]. 岩土力学, 2016, 37(3): 850-858. (WANG Ying, GAO Guang-yun. A study of dynamic response of lined tunnel subjected to transient loads in saturated half space[J]. Rock and Soil Mechanics, 2016, 37(3): 850-858. (in Chinese))
    [16]
    杨桂通, 张善元. 弹性动力学[M]. 北京: 中国铁道出版社, 1988: 199-203. (YANG gui-tong, ZHANG shan-yuan. Elastic dynamics[M]. Beijing: China Railway Publishing House, 1988: 199-203. (in Chinese))
    • Related Articles

  • Related Articles

    [1]GAO Guo-yao, GUO Wei, ZHOU Feng-xi. Multi-field coupling analysis of water-heat-salt in composite unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(S1): 52-57. DOI: 10.11779/CJGE2022S1010
    [2]GAO Meng, ZHANG Ji-yan, GAO Guang-yun, CHEN Qing-shen, CHAO Ming-song, LI Da-yong. Solution to transient response of a cylindrical lined tunnel in an infinite elastic medium under internal blast load[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(8): 1366-1373. DOI: 10.11779/CJGE201708002
    [3]ZHANG Chun-li, WANG Bo, ZHU Yan-zhi. Dynamic response of infinite plate on orthotropic half-plane medium under moving loads[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(2): 352-358. DOI: 10.11779/CJGE201702020
    [4]ZHU Ming-xing, GONG Wei-ming, HE Xiao-yuan, XU Guo-ping. Semi-analytical solution to deformation and internal force of passive piles under surcharge loads considering soil arching effect[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(11): 1997-2008.
    [5]AI Zhi-yong, ZENG Kai, ZENG Wen-ze. Analytical layer-element solution for three-dimensional problem of multilayered foundation[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(6): 1154-1158.
    [6]AI Zhi-yong, SU Hui, CHENG Yi-chong. Analytical layer element method for solving plane strain problem of multi-layered soils[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(11): 1797-1800.
    [7]GAO Meng, GAO Guang-yun, LI Da-yong. Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(6): 862.
    [8]Analytical solution on dynamic response of lining subjected to sudden internal uniform loading[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(2).
    [9]LU Yanmei, CHEN Jiansheng, DONG Haizhou, CHEN Liang. Laplace solution for heat transfer model of dam leakage[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(2): 274-278.
    [10]LIU Dongjia. Frequency-domain solution of shear stress along pile-soil interface for longitudinal vibration of piles and its application[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(5): 544-546.
    • Supplements (0)

  • Cited by

    Periodical cited type(10)

    1. Wan Feng，Qin Shengwu，Liu Dewen，Zhao Tiange，Zheng Yanping，Shan Hang，Li Zhiang，Peng Fusong，Xu Jingran，Lei Min. Seismic response of a mid-story isolated structure considering SSI in mountainous areas under long-period earthquakes. Earthquake Engineering and Engineering Vibration. 2024(01): 151-161 .
    2. 胡哲文，李建波，李志远. 考虑提离-滑移效应的核电结构-界面-地基相互作用模型研究. 振动与冲击. 2023(06): 126-133+201 .
    3. 朱升冬，陈国兴，陈炜昀，高文生，李文彪. 土的次非线性对桩基核岛结构三维地震反应的影响. 岩土力学. 2023(05): 1501-1511 .
    4. 胡哲文，李建波，李志远，林皋. 阶梯地形下坝-库水-地基非线性相互作用的动力模型与多因素耦合模拟. 水利学报. 2023(07): 843-856 .
    5. 尹训强，孙华跃. 复杂非均质场地条件下核电厂联合泵房抗震安全性评价分析. 地震工程与工程振动. 2023(04): 226-234 .
    6. 李培振，肖嘉取，杨金平，丁永刚. 考虑SSI效应的框架结构体系动力响应分析. 华南理工大学学报(自然科学版). 2023(09): 139-148 .
    7. 李庆华，冯子超，陈莘莘，孔祥禄. 稳态非线性热传导问题的比例边界有限元法. 华东交通大学学报. 2023(06): 110-114 .
    8. 仇文俊. 复杂地质条件下的建筑物地基处理方案优化. 建筑与预算. 2022(09): 62-64 .
    9. 彭刚，刘云龙，陈灯红，候春平，林天成，刘云辉. 基于完美匹配层人工边界的坝-基动力相互作用研究. 岩土力学. 2022(11): 3144-3152+3173 .
    10. Yue Li，Xunqiang Yin. Construction parameters of graded sand-gravel foundation on seismic response law of nuclear safety grade underground corridor. Earthquake Research Advances. 2022(04): 39-45 .

    Other cited types(5)

Catalog

    Get Citation
    PDF
    XML
    Article views (305) PDF downloads (144) Cited by(15)
    Related
    Copyright © 2010 Editorial By Chinese Journal of Geotechnical Engineering 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return