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饱和土固结的轴对称边界元特殊积分法分析

张鸿, 高谦, 徐满清, 陈学嘉

张鸿, 高谦, 徐满清, 陈学嘉. 饱和土固结的轴对称边界元特殊积分法分析[J]. 岩土工程学报, 2013, 35(zk1): 317-321.
引用本文: 张鸿, 高谦, 徐满清, 陈学嘉. 饱和土固结的轴对称边界元特殊积分法分析[J]. 岩土工程学报, 2013, 35(zk1): 317-321.
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ZHANG Hong, GAO Qian, XU Man-qing, CHEN Xue-jia. Consolidation of saturated soil by using axisymmetric BEM via particular integrals method[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(zk1): 317-321.
Citation: ZHANG Hong, GAO Qian, XU Man-qing, CHEN Xue-jia. Consolidation of saturated soil by using axisymmetric BEM via particular integrals method[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(zk1): 317-321.
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饱和土固结的轴对称边界元特殊积分法分析  English Version

  • 1. 北京科技大学土木与环境工程学院，北京 100083；2. 南昌工程学院土木工程系，江西 南昌 330029

基金项目: 国家自然科学基金项目（50969007，51269021）；江西省自然科学基金项目（20114BAB206012）；江西省教育厅科技项目（GJJ12629，GJJ13754）
详细信息
    作者简介:

    张 鸿(1972- )，男，江西南昌人，博士研究生，教授，主要从事饱和土体-结构共同作用的动力问题方面的研究。E-mail: zhanghlion@163.com。

  • 中图分类号: TU435

Consolidation of saturated soil by using axisymmetric BEM via particular integrals method

  • 1. School of Civil and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China; 2. Department of Civil Engineering, Nanchang Institute of Technology, Nanchang 330029, China

摘要

    摘要
  • 摘要: 根据饱和土Biot固结理论，采用特殊积分法在柱坐标系下，建立了饱和土体固结的轴对称边界元积分方程。首先通过全局形函数及虚密度函数表示饱和土体Navier方程中的孔压与孔隙流量方程中的瞬态项，从而得到特殊的孔压、位移及流量积分，然后在柱坐标系下将特殊解沿环向积分，得到饱和土体固结问题的轴对称边界元积分方程，最后通过算例与文献结果进行比较，验证此方法的正确性。
    Abstract: Based on the Biot’s consolidation theory and according to the particular integrals method, the axisymmetric BEM formulation is developed for analyzing the consolidation of saturated soil in the cylindrical coordinates. By approximating the pore pressure loading term in the Navier equation and the transient terms in the pore fluid flow equation with known global shape functions and fictitious density functions, the particular integrals for displacement and pore pressure can be easily derived. In order to obtain the corresponding axisymmetric BEM formulation for analyzing the consolidation of the saturated soil, the particular integrals are rewritten in cylindrical coordinates by integrating along the circumferential direction. Numerical results for axisymmetric problems of soil consolidation are given and compared with the known results to demonstrate the validity and accuracy of the present formulation.
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  • BANERJEE P K,BUTTERFIELD R. Boundary element methods in engineering science[M]. London: McGraw-Hill, 1981.
    CHENG A H D,LIGGETT J A. Boundary integral equation method for linear porous elasticity with application to soil consolidation[J]. International Journal for Numerical Methods in Engineering, 1984, 20(2): 255-278.
    CHEN J,DARGUSH G F. Boundary element method for dynamic poroelastic and thermoelastic analyses[J]. International Journal of Solids and Structures, 1995, 32(15): 2259-2278.
    DARGUSH G F,BANERJEE P K. A new boundary element method for three-dimensional coupled problems of consolidation and thermoelasticity[J]. Journal of Applied Mechanics, ASME, 1991, 58(1): 28-36.
    DARGUSH G F. A boundary element method for axisymmetric soil consolidation[J]. International Journal of Solids and Structures, 1991, 28(7): 897-915.
    PARK K H,BANERJEE P K. Two-and three-dimensional transient thermoelastic analysis by BEM via particular integral[J]. International Journal of Solids and Structures, 2002, 39(10): 2871-2892.
    PARK K H,BANERJEE P K. A simple BEM formulation for poroelasticity via particular integrals[J]. International Journal of Solids and Structures, 2006, 43(11): 3613-3625.
    张玉红,黄 义,王忠建. 层状饱水软土地基三维非轴对称动力响应分析方法[J]. (地震工程与工程振动), 2002, 22(4): 47-52.( ZHANG Yu-hong,HUANG Yi,WANG Zhong-jian. Analysis procedures of dynamic response of 3-D non-axisymmetric layered saturated soil[J]. Earthquake Engineering and Engineering Vibration, 2002, 22(4): 47-52. (in Chinese))
    BANERJEE P K. The boundary element methods in engineering[M]. London: McGraw-Hill, 1994.
    BIOT M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics, 1941, 12(2): 155-164.
    CRYER C W. A comparison of the three-dimensional consolidation theories of Biot and Terzaghi[J]. The Quarterly Journal of Mechanics and Applied Mathematics, 1963, 16(4): 401-411.
    GIBSON R E,SCHIFFMAN R L,PU S L. Plane strain and axially symmetric consolidation of a clay layer on a smooth impervious base[J]. The Quarterly Journal of Mechanics and Applied Mathematics, 1970, 23(4): 505-520.
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出版历程
  • 收稿日期:  2013-02-27
  • 发布日期:  2013-07-18

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