Uncertainties in Vertical Stress Distribution in Spatially Varying Random Elastic Half-Space
Publication: International Journal of Geomechanics
Volume 22, Issue 5
Abstract
This paper presents a comprehensive study on the effect of spatial variability of the elastic modulus on vertical stress distribution in an elastic half-space due to strip loading. The modulus of elasticity is considered as a random variable which follows a log-normal probability distribution. A random field theory based on a Cholesky decomposition technique is used to generate a two-dimensional random field in the elastic half-space. Monte Carlo simulation is performed to generate various random fields with spatially varying elastic modulus. A two-dimensional random finite-element model is developed for a strip loading on an elastic half-space by coupling the random fields generated by Monte Carlo simulation with finite-element analysis. A detailed investigation of the effect of statistical variables defining spatial random variation of the elastic modulus on the vertical stress distribution and the settlement analysis in random elastic half-space is performed. The present study indicates that the spatial random variation of elastic modulus of the soil has a significant effect on the vertical stress distribution and the settlement analysis in the elastic half-space.
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Published In
International Journal of Geomechanics
Volume 22 • Issue 5 • May 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Sep 3, 2020
Accepted: Nov 29, 2021
Published online: Feb 25, 2022
Published in print: May 1, 2022
Discussion open until: Jul 25, 2022
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Cited by
- Mehmet Salih Keskin, Selçuk Bildik, Mustafa Laman, Experimental and Numerical Studies of Vertical Stresses Beneath the Circular Footings on Sand, Applied Sciences, 10.3390/app13031635, 13, 3, (1635), (2023).