An analysis of the changes in geometry of a short hollow cylinder during axial compression

doi:10.1016/0020-7403(67)90027-6

International Journal of Mechanical Sciences

Volume 9, Issue 4, April 1967, Pages 163-182

https://doi.org/10.1016/0020-7403(67)90027-6 Get rights and content

Abstract

The changes produced in the internal diameter of a short hollow cylinder during axial compression between flat parallel rigid platens can provide a sensitive indication of friction conditions at the end-faces. With suitably chosen proportions of length and diameter the internal diameter can be arranged to either increase or decrease with only a small change in frictional stress. The method has been used in recent years to study the friction at deforming surfaces,^1–3 but no analysis predicting geometry changes from plasticity theory has been applied in the interpretation of experimental results. Friction values have been derived by approximate analyses and by calibration of surface conditions by other methods. Analyses of the compression of hollow cylinders have also been made by various workers,^4–7 but either these have been insufficiently developed to be used directly in analysing the results or the method of application has been rather involved. The present analysis develops a simple means of predicting strains in the deforming cylinder from a series of curves. The results are compared with some experimental results reported by others.^1–3

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Citation Excerpt :
In the ring compression test, the change of the inner diameter (ID) is sensitive to friction, and the correlation between the change of the ID and the reduction of height under different friction conditions is defined by a set of calibration curves. Different from calibration curves derived from experimental testing [2], the theoretical calibration curves were constructed by analyzing the ring compression on the assumption of uniform deformation using an optimum upper bound method [7] and a stress analysis approach [8]. Although the accuracy was improved by introducing small deformation increments [9], the theoretical data still did not agree well with the results obtained from experiments.
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¹: Department of Mechanical Engineering, University of Manchester Institute of Science and Technology

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An analysis of the changes in geometry of a short hollow cylinder during axial compression

Abstract

Int. J. mech. Sci.

Int. J. mech. Sci.

Int. J. mech. Sci.

J. Inst. Met.