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Indentation of Elastic Body by Sinusoidal Surface: Online Calculator
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:
(1)
where is the amplitude of the profile,
is the period of the function.
In this case, the contact half-length is given as follows:
(2)
where is applied pressure (load divided by the period),
is pressure at which the full contact would occur.
Pressure is given as follows:
(3)
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 [1].
[1]. Contact Mechanics, J.R. Barber, 2018.
