On the Non-Uniform Deformation of Material in Axially Symmetric Compression Caused by Friction : Part 1, Comparsion of Results of Analysis Using Calculus of Variations with Experiments Concerning Compression of Cylinder
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In this paper, shape of bulge, deformation in the body, load, distributions of vertical pressure, of tangential stress and of friction coefficient on the cylinder-tool interface, etc.Abstract:
Formerly, the authors analyzed non-uniform plastic deformation of a cylinder that was caused by friction on cylinder-tool interface in axial compression, using the calculus of variation. In this report, shape of bulge, deformation in the body, load, distributions of vertical pressure, of tangential stress and of friction coefficient on the cylinder-tool interface, etc. are calculated again, improving the former method of calculation. Next, various experiments are performed to prove the theoretical results, and to get further knowledge about friction. The experimental results agree qualitatively with the theoretical ones. As the result, it becomes clear that double bulge yields when height of the cylinder is large, that distribution of pressure is much affected by its height, that friction coefficient increases from the center to the edge, that friction coefficient can be investigated both by oblique type pin method, by measuring contact ratio of the surface, etc.read more
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