On the Oblique Compression of Two Elastic Spheres-Reference-Cited by-同舟云学术

On the Oblique Compression of Two Elastic Spheres

Published:1996-12-01 Issue:4 Volume:63 Page:1039-1041
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Elata D.¹

Affiliation:

1. Earth Sciences Division, Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, CA 94551

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/63/4/1039/5464915/1039_1.pdf

Reference7 articles.

1. Chang C. S. , ChangY., and KabirM. G., 1992, “Micromechanics Modeling for Stress-Strain Behavior of Granular Soils. I: Theory,” ASCE Journal of Geotechnical Engineering, Vol. 118, pp. 1959–1974.

2. Endres A. L. , 1990, “The Effect of Contact Generation on the Elastic Properties of a Granular Medium,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 57, pp. 330–336.

3. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.

4. Mindlin R. D. , 1949, “Compliance of Elastic Bodies in Contact,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 16, pp. 259–268.

5. Mindlin R. D. , and DeresiewiczH., 1953, “Elastic Spheres in Contact Under Varying Oblique Forces,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 20, pp. 327–344.

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