# Indentation of an Elastic plane by Truncated Cone: Online Calculator

Truncated Conical Indenter

The truncated conical intender is characterized by the radius of the blunt end , the inclination angle , the effective contact radius and the deformation depth (rigid body indentation). This solution is correct without restrictions only for rigid indenters (see [1]).
The contact radius can be deduced numerically using the relation that connects the geometrical parameters to each other:

(1)

such that the angle is introduced as:

(2)

Other parameters, such as load force , displacement and the stress profile are given by the following equations:

(3)

(4)

(5)

Definitions:

Poisson’s ratio of the substrate dimensionless,
Young’s modulus of elasticity of the substrate, [Pa],
Equivalent elastic constant  , [Pa],