Stress in an elastic hump: The effects of glacier flow over elastic bedrock

L. W. Morland; G. S. Boulton

doi:10.1098/rspa.1975.0096

Stress in an elastic hump: The effects of glacier flow over elastic bedrock

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Abstract

Stress fields in an isotropic elastic semi-infinite domain with a humped contour subjected to applied tractions are obtained for plane strain or plane stress conditions. Domains mapped conformally onto the half-plane by a class of rational functions are considered and a complex variable method is used to determine an analytic solution. A general Fortran program has been constructed to determine stresses, principal directions, principal strains, and maximum shear tractions at specified points.

Original language	English
Pages (from-to)	157-173
Number of pages	17
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	344
Issue number	1637
DOIs	https://doi.org/10.1098/rspa.1975.0096
Publication status	Published - 24 Jun 1975

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10.1098/rspa.1975.0096

Cite this

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title = "Stress in an elastic hump: The effects of glacier flow over elastic bedrock",

abstract = "Stress fields in an isotropic elastic semi-infinite domain with a humped contour subjected to applied tractions are obtained for plane strain or plane stress conditions. Domains mapped conformally onto the half-plane by a class of rational functions are considered and a complex variable method is used to determine an analytic solution. A general Fortran program has been constructed to determine stresses, principal directions, principal strains, and maximum shear tractions at specified points.",

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AU - Boulton, G. S.

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N2 - Stress fields in an isotropic elastic semi-infinite domain with a humped contour subjected to applied tractions are obtained for plane strain or plane stress conditions. Domains mapped conformally onto the half-plane by a class of rational functions are considered and a complex variable method is used to determine an analytic solution. A general Fortran program has been constructed to determine stresses, principal directions, principal strains, and maximum shear tractions at specified points.

AB - Stress fields in an isotropic elastic semi-infinite domain with a humped contour subjected to applied tractions are obtained for plane strain or plane stress conditions. Domains mapped conformally onto the half-plane by a class of rational functions are considered and a complex variable method is used to determine an analytic solution. A general Fortran program has been constructed to determine stresses, principal directions, principal strains, and maximum shear tractions at specified points.

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DO - 10.1098/rspa.1975.0096

M3 - Article

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JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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