TABLE OF CONTENTS An elastic cylinder of mild steel with a radius of R pressed against a flat surface of a linearly elastic medium of the same material by a force P . Perform an FEM analysis of the elastic cylinder pressed against the elastic flat plate illustrated in Figure 3.91 and calculate the resulting contact stress in the vicinity of the contact point in the flat plate.
Geometry of the cylinder: radius R = 1000 mm.
Geometry of the flat plate: width W = 1000 mm, height h = 500 mm.
Material: mild steel having Young's modulus E = 210 GPa and Poisson's ratio v = 0.3.
Boundary conditions: The elastic cylinder is pressed against the elastic flat plate
by a force of P = 1 kN/mm and the plate is clamped at the bottom. Note that the cylinder and the plate is considered to have an unit thickness in the case of plane stress condition.
Let us use a half model of the indentation problem illustrated in Figure 3.91, since the problem is symmetric about the vertical center line.
Creation of an elastic flat plate
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