# Radius of a contact area between a sphere and an elastic half-space

## Description

Contact mechanics is the study of the deformation of solids that touch each other at one or more points. When an elastic sphere indents an elastic half-space creates a contact area. The radius of this area is related to the radius of the sphere and the depth of the elastic half-space.

Related formulas## Variables

a | Radius of the contact area (m) |

R | Radius of the sphere (m) |

d | Depth of the half-space (m) |