On the Oblique Compression of Two Elastic Spheres

In this note Walton’s (1987) force-displacement relations for a contact between two identical elastic spheres are discussed. The relations are based on the solution for the oblique compression of two elastic spheres (Walton, 1978) which is rederived here in a simple fashion that relates it to Mindli...

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Bibliographic Details
Published in:Journal of applied mechanics 1996-12, Vol.63 (4), p.1039-1041
Main Author: Elata, D
Format: Article
Language:English
Subjects:
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Granular solids
Material form
Mechanical contact (friction...)
Physics
Rheology
Solid mechanics
Structural and continuum mechanics
Tribology and mechanical contacts
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Summary:In this note Walton’s (1987) force-displacement relations for a contact between two identical elastic spheres are discussed. The relations are based on the solution for the oblique compression of two elastic spheres (Walton, 1978) which is rederived here in a simple fashion that relates it to Mindlin’s (1949) solution for contact stress. Specific limitations of these relations are reviewed and it is demonstrated that misusing the relations leads to thermodynamic inconsistencies.
ISSN:0021-8936
1528-9036
DOI:10.1115/1.2787226