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12 - Applications of stress and deformation principles to classical problems

Published online by Cambridge University Press:  20 December 2019

Roger LeB. Hooke
Affiliation:
University of Maine, Orono
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Summary

To develop some facility with application of the principles discussed in the preceding three chapters, some examples of classical problems are discussed in this chapter. The first problem involves the collapse of a cylindrical hole in ice. This solution is applied to problems of determining flow law constants from closure of tunnels and boreholes, ofclosure of water conduits in response to melting by energy dissipated in the flowing water. In the second, force balance calculations are used to study the role of seasonal and shorter-term variations in water pressure on glacier motion.Then, the need to consider longitudinal coupling in calculations of deformation rates is explored. In calculating velocity profiles at a point on a glacier, one needs to take into consideration not only the surface slope and ice thickness at that point, but also their variation up- and downglacier from that point.Finally, the theoretical basis for analysis of borehole deformation data to determine flow law constants is presented. Longitudinal strain rates and vertical advection need to be taken into consideration in analyzing borehole tilt data.

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Publisher: Cambridge University Press
Print publication year: 2019

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