Force on 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. This amount of deformation is dependent on the modulus of elasticity of the material in contact. It gives the contact stress as a function of the normal contact force, the radii of curvature of both bodies and the modulus of elasticity of both bodies. The force applied on a Contact Area between a rigid cylinder and an elastic half-space is related to the indentation depth.

Related formulas

Variables

FForce on the Contact Area (N)
aRadius of the cylinder (m)
EModulus of elasticity ( Young's modulus) (Pa)
dThe indentation depth (m)