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Applications of Plasticity Theory to Selected Problems in Soil Mechanics

Baligh, Mohsen Mohamed (1972) Applications of Plasticity Theory to Selected Problems in Soil Mechanics. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20151130-164806389

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Abstract

Two topics in plane strain perfect plasticity are studied using the method of characteristics. The first is the steady-state indentation of an infinite medium by either a rigid wedge having a triangular cross section or a smooth plate inclined to the direction of motion. Solutions are exact and results include deformation patterns and forces of resistance; the latter are also applicable for the case of incipient failure. Experiments on sharp wedges in clay, where forces and deformations are recorded, showed a good agreement with the mechanism of cutting assumed by the theory; on the other hand the indentation process for blunt wedges transforms into that of compression with a rigid part of clay moving with the wedge. Finite element solutions, for a bilinear material model, were obtained to establish a correspondence between the response of the plane strain wedge and its axi-symmetric counterpart, the cone. Results of the study afford a better understanding of the process of indentation of soils by penetrometers and piles as well as the mechanism of failure of deep foundations (piles and anchor plates). The second topic concerns the plane strain steady-state free rolling of a rigid roller on clays. The problem is solved approximately for small loads by getting the exact solution of two problems that encompass the one of interest; the first is a steady-state with a geometry that approximates the one of the roller and the second is an instantaneous solution of the rolling process but is not a steady- state. Deformations and rolling resistance are derived. When compared with existing empirical formulae the latter was found to agree closely.


Item Type:Report or Paper (Technical Report)
Additional Information:In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy. The author is grateful for the research assistantships and tuition scholarships granted by the California Institute of Technology and for the financial support received from the National Science Foundation during the course of this work.
Group:Soil Mechanics Laboratory
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Record Number:CaltechAUTHORS:20151130-164806389
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20151130-164806389
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62477
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:03 Dec 2015 03:40
Last Modified:03 Dec 2015 03:40

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