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The state of stress induced by the plane frictionless cylindrical contact. II. The general case (elastic dissimilarity)

The state of stress induced by the plane frictionless cylindrical contact. II. The general case (elastic dissimilarity)
The state of stress induced by the plane frictionless cylindrical contact. II. The general case (elastic dissimilarity)
In Part I of the paper, the authors have studied the contact problem between a pin and an infinite plate containing a conforming hole, in the absence of friction and in the case of elastic similarity, obtaining a closed form result which generalizes the identical materials analysis of Persson (On the stress distribution of cylindrical elastic bodies in contact, Ph.D. dissertation, 1964).
Here, in Part II, the general case of contacting materials is first studied numerically, finding that the effect of elastic dissimilarity (i.e. the second Dundurs' constant not being zero) is negligible for the dimensionless pressure distribution, the maximum influence being less than 2%. Vice versa, the influence on the relation between the contact area arc semi-width, ?, and the dimensionless loading parameter E1*?R/Q is indeed significant; however, considering as an approximate pressure distribution the one of the elastically similar case, an extremely good approximation is obtained for the general relation ? vs. E1*?R/Q which can now take into account of both Dundurs' elastic parameters. In particular, the limiting value for ? lim, towards which the contact tends under very high loads both under initial clearance or interference (or for any load for the perfect fit limiting case) is given as a function of both Dundurs' elastic parameters, ?, ? as well as the load when complete contact is lost in an interference contact, ? compl.
Hence, a complete assessment of the strength of the contact can be obtained directly from the results of Part I of the paper, given that for a certain contact area extension, the correct value of load is used.
0020-7683
4525-4533
Ciavarella, Michele
3de51b62-4f69-4369-9f4d-a743d6950daa
Decuzzi, Paolo
b9c1d811-8e6d-4a4d-aa0a-a4695bb8ddf3
Ciavarella, Michele
3de51b62-4f69-4369-9f4d-a743d6950daa
Decuzzi, Paolo
b9c1d811-8e6d-4a4d-aa0a-a4695bb8ddf3

Ciavarella, Michele and Decuzzi, Paolo (2001) The state of stress induced by the plane frictionless cylindrical contact. II. The general case (elastic dissimilarity). International Journal of Solids and Structures, 38 (26-27), 4525-4533. (doi:10.1016/S0020-7683(00)00290-0).

Record type: Article

Abstract

In Part I of the paper, the authors have studied the contact problem between a pin and an infinite plate containing a conforming hole, in the absence of friction and in the case of elastic similarity, obtaining a closed form result which generalizes the identical materials analysis of Persson (On the stress distribution of cylindrical elastic bodies in contact, Ph.D. dissertation, 1964).
Here, in Part II, the general case of contacting materials is first studied numerically, finding that the effect of elastic dissimilarity (i.e. the second Dundurs' constant not being zero) is negligible for the dimensionless pressure distribution, the maximum influence being less than 2%. Vice versa, the influence on the relation between the contact area arc semi-width, ?, and the dimensionless loading parameter E1*?R/Q is indeed significant; however, considering as an approximate pressure distribution the one of the elastically similar case, an extremely good approximation is obtained for the general relation ? vs. E1*?R/Q which can now take into account of both Dundurs' elastic parameters. In particular, the limiting value for ? lim, towards which the contact tends under very high loads both under initial clearance or interference (or for any load for the perfect fit limiting case) is given as a function of both Dundurs' elastic parameters, ?, ? as well as the load when complete contact is lost in an interference contact, ? compl.
Hence, a complete assessment of the strength of the contact can be obtained directly from the results of Part I of the paper, given that for a certain contact area extension, the correct value of load is used.

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Published date: 2001

Identifiers

Local EPrints ID: 22371
URI: https://eprints.soton.ac.uk/id/eprint/22371
ISSN: 0020-7683
PURE UUID: b9c538fa-08eb-4da0-82c6-33f527b8058d

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Date deposited: 21 Mar 2006
Last modified: 17 Jul 2017 16:22

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Author: Michele Ciavarella
Author: Paolo Decuzzi

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