This is a simple calculator for an elastic indentation by a flat punch.

Pressure profile can be calculated as follows:

where , being semi-major axis and being semi-minor axis, – normal load.

Indentation depth is calculated using following equation:

, where is the complete elliptical integral of the first kind, is eccentricity, is the reduced elastic modulus, .

Equations are taken from [1].

Note: the elliptic integral of the first kind is required to calculate the indent value. An approximate formula is used here (http://www.exstrom.com/math/elliptic/ellipint.html).

[1]. J. Barber, Contact Mechanics, 2018.