Elastic modulus 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. 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.

Related formulas

Variables

EModulus of elasticity ( Young's modulus) of the contact area (Pa)
ν1Poisson's ratio of the sphere (dimensionless)
E1Young's Modulus of material one (sphere) (Pa)
ν2Poisson's ratio of the half-space (dimensionless)
E2Young's Modulus of material two ( half-space) (Pa)