Abstract
An efficient general solution is obtained for the problem of the elastic half space z > 0 with a traction-free surface experiencing gravitational attraction to an arbitrarily shaped body located in z < 0. Many components of the stress field can be written down immediately if the potential of the attracting body is known. Results are given for the case of attraction to a uniform sphere.
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Barber, J.R. Stresses in a half space due to Newtonian gravitation. J Elasticity 75, 187–192 (2005). https://doi.org/10.1007/s10659-005-4105-9
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DOI: https://doi.org/10.1007/s10659-005-4105-9