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Hertz Contact Mechanics

Problem Specification

Consider a simple problem that illustrates a comparison between the analytical and numerical results.  As shown in the diagram below, consider a problem where we apply a downward force (F) of 60π N to a spherical object with a radius (R1) of 8 mm.  This isotropic sphere has an axial modulus (E1) of 1 GPa and a Poisson's ratio (ν1) of 0.3.  In addition, this sphere is fixed vertically at the contact interface with a rigid wall.  Since we are modeling the wall as a rigid body, we assume axial modulus (E2) equals +∞ and Poisson's ratio (ν2) equals 0.  Also, the radius of curvature of the wall (R2) can be assumed to be zero.

This tutorial was made by Ju Hwan Shin (js985) and You Won Park (yp75).

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