Article

A general nonlinear mathematical model for soil consolidation problems

Dipartimento di Ingegneria Strutturale, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino,, 10129, Italy
International Journal of Engineering Science (Impact Factor: 2.29). 08/1997; 35(10-11):1045-1063. DOI: 10.1016/S0020-7225(97)00024-4

ABSTRACT This paper presents a three-dimensional consolidation model, based on mixture theory. Both the Eulerian and the Lagrangian formulations are given in one dimension for finite strain and general material nonlinearity. Then the paper formulates the initial boundary value problems related to several situations of relevant geotechnical engineering interest, such as consolidation between draining and impervious boundaries subjected to stress and/or velocity conditions, consolidation under own weight of a layer growing due to deposition of wet material, or to sedimentation of solid particles in a quiescent fluid.

Full-text

Available from: Luigi Preziosi, Jun 14, 2015
0 Followers
 · 
237 Views
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: The mathematical modeling of the consolidation theory is outlined moving from the fundamentals of the mechanics of porous media. Starting from averaging approaches or from the postulates of the theory of mixtures, we introduce the volume fraction concept, the balance equations for the components of the mixture (written in Eulerian and Lagrangean frames of reference) and the concept of effective stress. Initial boundary value problems are considered for typical geotechnical applications, and in this context Biot’s theory is illustrated. A final discussion concerns the mathematical priciples that are to be accomplished when formulating constitutive relationships.
    12/2001: pages 159-180;
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: This paper deals with the modelling of non-linear consolidation phenomena in a non-homogenous clay characterized by soil properties with change of type going from normal to over consolidation regimes. Some simulations are developed addressed to visualize the main features of the consolidation process. A critical analysis, which gives special attention to research perspectives, concludes this paper.
    International Journal of Non-Linear Mechanics 06/2003; 38(4):493-500. DOI:10.1016/S0020-7462(01)00074-9 · 1.46 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: Coupled Biot consolidation theory was combined with the random finite-element method to investigate the consolidation behavior of soil deposits with spatially variable properties in one-dimensional 1D and two-dimensional 2D spaces. The coefficient of volume compressibility m v and the soil permeability k are assumed to be lognormally distributed random variables. The random fields of m v and k are generated by the local average subdivision method which fully takes account of spatial correlation, local averaging, and cross correlations. The generated random variables are mapped onto a finite-element mesh and Monte Carlo finite-element simulations follow. The results of parametric studies are presented, which describe the effect of the standard deviation, spatial correlation length, and cross correlation coefficient on output statistics relating to the overall "equivalent" coefficient of consolidation. It is shown that the average degree of consolidation defined by excess pore pressure and settlement are different in heterogeneous soils. The dimensional effect on the soil consolidation behaviors is also investigated by comparing the 1D and 2D results.
    Journal of Geotechnical and Geoenvironmental Engineering 03/2010; 136(3). DOI:10.1061/(ASCE)GT.1943-5606.0000238 · 1.47 Impact Factor