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 .
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).