Abstract
This paper examines O.K. Fröhlich’s solution to Boussinesq’s problem for the action of a concentrated normal force on the surface of an isotropic elastic halfspace. In this endeavour, Fröhlich introduced the concept of a “Concentration Factor” that would allow for variations in the stress diffusion within the halfspace region. This note draws attention to the possible limitations of the solution as it pertains to the evaluation of the resulting displacement field in the halfspace region due to violation of the conventional Beltrami-Michell compatibility criteria applicable to continua.
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Selvadurai, A.P.S. (2014). On Non-uniqueness Issues Associated with Fröhlich’s Solution for Boussinesq’s Concentrated Force Problem for an Isotropic Elastic Halfspace. In: Stein, E. (eds) The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering. Lecture Notes in Applied Mathematics and Mechanics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39905-3_19
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