Exploring the application of closed form solutions in geotechnical problems

Eaton, Timothy (2013) Exploring the application of closed form solutions in geotechnical problems. [USQ Project]


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This project explores the uses, values and limitations of closed form solutions in specific areas of geotechnical engineering. Three closed form (analytical) solutions, Kelvin's, Boussinesq's and Mindlin's solutions have been chosen and researched to determine their applications in geotechnical engineering. These applications have been examined with the aim to modify, further define and/or extend upon them so that they may be applicable to new problems.

A review of research on Kelvin's, Mindlin's and Boussinesq's solutions gave an indication of the ways each of the solutions could be applied to solve for certain problems. After noting the likeness of the solutions and the accomplishments that had been achieved with the relatively popular Boussinesq's solution, the aim was to subject the lesser known and utilised Mindlin's solution to similar concepts.

The integration of Mindlin's solution for a sub-surface circular loading was performed and is shown here in full, something which does not appear to have been published. From this Newmark inspired Mindlin based influence charts were generated which were found to be of little practical use. Following this the relationship between both Boussinesq's and Mindlin's solutions was investigated and analysed resulting in the production of a design chart that may be applicable to a bi-loaded anchor system.

On a whole the work undertaken in this dissertation showed the main values of the closed form solution in the area of stresses in soil masses were that of insight and flexibility, and their main limitation was that of the simplifying assumptions that were required to be made.

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Item Type: USQ Project
Item Status: Live Archive
Additional Information: Bachelor of Civil Engineering project.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Civil Engineering and Surveying (1 Jul 2013 - 31 Dec 2021)
Supervisors: Ghabraie, Kazem
Date Deposited: 09 Sep 2015 05:20
Last Modified: 09 Mar 2016 02:50
Uncontrolled Keywords: analytical solutions; closed form solutions; soils; Kelvin's solution; Mindlin’s solution; Boussinesq’s solution
Fields of Research (2008): 09 Engineering > 0905 Civil Engineering > 090501 Civil Geotechnical Engineering
Fields of Research (2020): 40 ENGINEERING > 4005 Civil engineering > 400502 Civil geotechnical engineering
URI: https://sear.unisq.edu.au/id/eprint/27084

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