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Indentation Stress and Displacement Fields
I am looking for stress and displacement fields for indentation of an elastic half-space with a rigid spherical indenter. Anthony C. Fischer-Cripps provides closed form expressions (no derivations) for stress fields in his textbook "Introduction to Contact Mechanics" (Chapter 5, Page 88-89). He cites the work of M.T. Huber[1] which is in German (Annalen der Physik, 1904).
Can someone point me to an English language reference for the analytical derivation of displacement and stress fields in the interior of the specimen ?
Note: K.L. Johnson's text (Contact Mechanics) deals with the stress and displacement fields on the surface but I am looking for the fields in the interior.
1. M.T. Huber, “Zur Theorie der Berührung fester elastischer Körper,” Ann. Phys. 43
61, 1904, pp. 153–163.
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Regarding your inquiry
You can take a look at some of the works by Fabrikant. I do not have the titles of his papers, etc. handy. But, he has derived complete solutions to such problems.
Hope this is of help.
M. Rahman