This calculator considers the indentation of an elastic half-plane by a rigid body with sinusoidal profile. This is a two-dimensional case. Equations are given below the calculator.
It is assumed here that the sinusoidal profile is given by the following equation:
where is the amplitude of the profile, is the period of the function.
In this case, the contact half-length is given as follows:
where is applied pressure (load divided by the period), is pressure at which the full contact would occur.
Pressure is given as follows:
where is the reduced elastic modulus, and are the Young’s moduli and Poisson’s ratios of the bodies.
This solution is known as Westergaard’s solution .