On the Non-Uniform Deformation of a Block in Plane-Strain Compression Caused by Friction : Part 3, Analysis by Finite Element Method when Surface Sticks on Tool

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Non-uniform deformation of an elastic, strain-hardening block caused by plane-strain compression is analyzed, using the finite element method. The surface of the block is supposed to stick on a rigid tool. Deformation at rather early stage is analyzed for 6 cases concerning height to width ratio of the block, h_0. As the result, it becomes clear that the bulge on the free surface is single when h_0<2 but is double when h_0>2, that the load of compression increases as h_0 becomes smaller, and that the pressure is larger at the center than near the edge only when h_0 is small. Moreover, it is made clear that the plastic zone grows from the surface to the center when h_0 is small, from the center to the surface when h_0 becomes a little larger and from two points inside the block to the surface when h_0 is so large that double bulge yields, and so on.
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