This article presents the analytical solution of Laplace equation for the steady flow around open-ended cylindrical piezometers located in an infinite, isotropic, and incompressible saturated soil. Shape factors are obtained for piezometers with varying length-to-diameter ratios. Comparisons are made with published factors obtained by means of approximate analytical solutions, numerical approaches, and measurements in electric analog models. It is shown that some expressions that are currently used in practice are inadequate and should be abandoned.
Simple numerical methods that allow to obtain stress and strain paths in sand during self-boring pressuremeter tests are presented in this paper. The material is considered to undergo deformation in drained and plane-strain conditions. The flow rules of Rowe, Cambridge-type (Cam clay and Nova) model, and the sawtooth model are used in the analysis. Elastic strains are also considered in relation with the flow rule of Rowe. The proposed approach has been evaluated using a reference pressuremeter test performed on Ticino sand in a calibration chamber. The results indicate that the stressstrain-volume change responses of the sand predicted by the various models are quite similar, with and without consideration of the elastic strain components.
Résumé :Des méthodes numériques simples, qui permettent d'obtenir les cheminements de contraintes et déformations pendant les essais pressiométriques autoforeurs dans le sable, sont présentées dans cet article. Le matériau est considéré être sollicité en conditions drainées et en déformation plane. Les règles d'écoulement plastique utilisées sont celles de Rowe, de type Cambridge (Cam clay et Nova), et le modèle « dents de scie ». L'approche proposée tient aussi compte des déformations élastiques dans le cadre du modèle de Rowe. La méthode a été évaluée à l'aide d'un essai pressiométrique de référence, effectué dans une chambre de calibration, sur le sable de Tessin. Les résultats indiquent que les réponses du sable en termes des relations contraintes -déformations -changements de volume, prédites par les différents modèles, sont assez similaires, avec ou sans la prise en compte des déformations élastiques.
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