Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (8): 937-944.

• Articles • Previous Articles     Next Articles

ONE-DIMENSIONAL CONSOLIDATION OF LAYERED SOILS WITH IMPEDED BOUNDARIES UNDER TIME-DEPENDENT LOADINGS

CAI Yuan-qiang1, LIANG Xu1,2, WU Shi-ming1   

  1. 1. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310027, P. R. China;
    2. Hangzhou Construction Committee, Hangzhou 310027, P. R. China
  • Received:2002-11-20 Revised:2004-04-09 Online:2004-08-18 Published:2004-08-18
  • Supported by:
    the National Natural Science Foundation of China(59908012)

Abstract: On the basis of Terzaghi’s one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under time-dependent loading was studied. By the method of Laplace transform, the solution was presented. Influences of different kinds of cyclic loadings and impeded boundaries conditions were discussed. Through numerical inversion of Laplace transform, useful illustrations were given considering several common time-dependent loadings. Pervious or impervious boundary condition is just the special case of the problem considered here. Compared with average index method,the results from the method illustrated are more accurate.

Key words: one-dimensional consolidation, impeded boundary, layered soil, time-dependent loadling, Laplace transform, effective stress ratio, average index method

2010 MSC Number: 

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