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.

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Article: A general nonlinear mathematical model for soil consolidation problems

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    • "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. "
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