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: 2.67). 08/1997; 35(10-11):1045-1063. DOI: 10.1016/S0020-7225(97)00024-4


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.

Download full-text


Available from: Luigi Preziosi, Oct 01, 2015
34 Reads
  • Source
    • "Speciÿcally, the following topics, among several ones, are indicated: (i) The consolidation models proposed in this paper have been derived, for the one-dimensional case. The whole modelling procedure should be revisited in the three-dimensional case exploiting again, the general framework proposed by Lancellotta and Preziosi [12], mixtures theory [21], and recent studies on the modelling of Darcy's phenomenon [22] for the proper closure of the balance equation. (ii) The relevance of material non-linearity can be described in a relatively more careful way if smallness assumptions on the strain is removed. "
    [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 · 1.98 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: This paper deals with the derivation of a finite deformation model in the Lagrangian formulation framework without introducing any a priori partition of the stress tensor between the fluid and the solid skeleton.
    Mathematical and Computer Modelling 07/1998; 28(1):1-7. DOI:10.1016/S0895-7177(98)00076-4 · 1.41 Impact Factor
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: . The problem of the consolidation of an aerated fine powder under gravity is considered. The industrial relevance of the problem is discussed and a mathematical model is introduced. The mathematical structure is that of a coupled system for three unknowns, pressure, stress and height of the powder in the (axisymmetric) bunker containing it. The system itself consists of a parabolic PDE, an ODE and an integral equation determining a free boundary corresponding to the height of the powder. Existence and uniqueness of a solution is established. A numerical method based on a formulation of the semidiscretized problem as an index 1 DAE is proposed and implemented. The feasilibility of the approach is illustrated by computational results. Key words. consolidation, multiphase, parabolic, free boundary, DAE, integral equation. AMS subject classifications. 35K55, 65L80, 65M06, 76S05 1. Introduction. One important factor determining the mechanical properties of fine powders is the possible pres...
    SIAM Journal on Applied Mathematics 10/2001; 62(1):1-20. DOI:10.1137/S0036139900368479 · 1.43 Impact Factor
Show more