Cone with a Parabolic Cap: Online Calculator

This calculator allows calculating pressure , displacement (elastic deformation) , average pressure and resultant force for the case of indentation of elastic half-space by a rigid cone with a parabolic cap. In this case, the intender is rigid and of conical shape. The substrate is elastic, the geometric parameters – rigid body displacement, – radius of the contact, – inclination angle of the cone, – radius of the parabolic cap, and material parameters are the inputs (see the figure and definitions below).

Equations were taken from [1].

Definitions:

Poisson’s ratio dimensionless,
Young’s modulus of elasticity , [Pa],
Equivalent elastic constant  , [Pa],
Normal load , [N]

References:

[1] Valentin L. Popov, Hanbook of Contact Mechnics, Exact Solutions of Axisymmetric Contact Problems, pg. 35