Deformation of an Elastic Beam on a Winkler Foundation

Butler, Adam J. O. and Meyer, Colin R. and Neufeld, Jerome A. (2020) Deformation of an Elastic Beam on a Winkler Foundation. Journal of applied mechanics. ISSN 1528-9036 Print ISSN 0021-8936 DOI https://doi.org/10.1115/1.4046197 (In Press)

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Official URL: https://doi.org/10.1115/1.4046197

Abstract

We present a simple model for geophysical systems involving sources of deformation, such as magmatic intrusions, supraglacial lakes, and the subsurface storage of CO 2 . We consider the idealised system of a uniform elastic layer overlying a localised region of constant pressure that is surrounded by a Winkler foundation composed of springs. We investigate the effect of source depth and foundation stiffness on the resulting displacement profiles at both the surface and the level of the source. The system is characterised by three key features: the maximum uplift, the maximum subsidence, and the distance to the point of zero displacement. For each of these we determine asymptotic scaling behaviour in the limits of a thin/thick layer and a soft/stiff foundation and form composite curves that allow specific parameter values to be determined from field data. Both two-dimensional and axisymmetric pressure patches are considered, and in the thin-layer limit we derive analytical solutions.

Item Type: Article
Uncontrolled Keywords: AREP2019, IA76
Subjects: 02 - Geodynamics, Geophysics and Tectonics
Divisions: 02 - Geodynamics, Geophysics and Tectonics
Journal or Publication Title: Journal of applied mechanics
Identification Number: https://doi.org/10.1115/1.4046197
Depositing User: Sarah Humbert
Date Deposited: 07 Feb 2020 14:23
Last Modified: 07 Feb 2020 14:49
URI: http://eprints.esc.cam.ac.uk/id/eprint/4625

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