Total indentation depth of a contact area between a rigid cylinder 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. Hertzian contact stress refers to the localized stresses that develop as two curved surfaces come in contact and deform slightly under the imposed loads. In the case of indentation of an elastic half-space using a rigid conical indenter the total indentation depth is related to the depth of the contact region.

Related formulas

Variables

dTotal indentation depth (m)
πpi
ϵDepth of the contact region (m)