CAI Yuan-qiang, XU Chang-jie, YUAN Hai-ming. One Dimensional Consolidation of Layered and Visco-Elastic Solids Under Arbitrary Loading[J]. Applied Mathematics and Mechanics, 2001, 22(3): 307-313.
Citation: CAI Yuan-qiang, XU Chang-jie, YUAN Hai-ming. One Dimensional Consolidation of Layered and Visco-Elastic Solids Under Arbitrary Loading[J]. Applied Mathematics and Mechanics, 2001, 22(3): 307-313.

One Dimensional Consolidation of Layered and Visco-Elastic Solids Under Arbitrary Loading

  • Received Date: 1999-09-10
  • Rev Recd Date: 2000-09-08
  • Publish Date: 2001-03-15
  • Based on the layered visco-elastic soil model,according to the Terzaghi s one dimensional consolidation theory,by the method of Laplace transform and matrix transfer technique,the problems about the consolidation of layered and saturated visco-elastic soils under arbitrary loading were solved.Through deductions,the general solution,in the terms of layer thickness,the modulus and the coefficients of permeability and Laplacian transform's parameters was obtained.The strain and deformation of the layered and saturated visco-elastic soils under arbitrary loading can be calculated by Laplace inversion.According to the results of several numerical examples,the consolidation of visco-elastic soils lags behind that of elastic soils.The development of effective stress and the displacement is vibrant process under cyclic loading.Finally,an engineering case is studied and the results prove that the methods are very effective.
  • loading
  • [1]
    Wilson N E,Elaohary M M.Consolidation of soils under cyclic loading[J].Canadian Geot J,1974,2(4):420-423.
    [2]
    Baligh M M,Levadoux J N.Consolidation theory for cyclic loading[J].Asce Geotech Engrg,1978,104(3):415-431.
    [3]
    吴世明.周期荷载作用下饱和粘土的一维固结[J].浙江大学学报,1988,22(5):60-70.
    [4]
    陈宗基.固结及次时间效应的单向问题[J].土木工程学报,1958,5(1):1-10.
    [5]
    门福录.粘土固结与次时间效应单维问题的近似解[J].水利学报,1963,(1):44-63.
    [6]
    赵维炳.广义Voigt模型模拟的饱水土体一维固结理论及其应用[J].岩土工程学报,1989,11(5):78-85.
    [7]
    Narayanan G V,Beskos D E.Numerical operational methods for time dependent linear problems[J].Int J Num Method Engng,1978,18(10):1829-1854.
    [8]
    Durbin J W.Numerical inversion of Laplace transforms:an effcient improvement to Duber and Abate's method[J].Comput J,1963,17(3):371-376.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2437) PDF downloads(694) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return