Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 353-360.

• 论文 • 上一篇    下一篇

ONE-DIMENSIONAL CONSOLIDATION OF LAYERED AND VISCO-ELASTIC SOILS UNDER ARBITRARY LOADING

蔡袁强, 徐长节, 袁海明   

  1. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China
  • 收稿日期:1999-09-10 修回日期:2000-09-08 出版日期:2001-03-18 发布日期:2001-03-18
  • 基金资助:
    the National Natural Science Foundation of China(59908012)

ONE-DIMENSIONAL CONSOLIDATION OF LAYERED AND VISCO-ELASTIC SOILS UNDER ARBITRARY LOADING

CAI Yuan-qiang, XU Chang-jie, YUAN Hai-ming   

  1. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. China
  • Received:1999-09-10 Revised:2000-09-08 Online:2001-03-18 Published:2001-03-18
  • Supported by:
    the National Natural Science Foundation of China(59908012)

摘要: 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.

关键词: arbitrary loading, layered, visco-elastic soils, one-dimensional consolidation

Abstract: 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.

Key words: arbitrary loading, layered, visco-elastic soils, one-dimensional consolidation

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