Yield and shakedown states in the contact of generally curved bodies

Abstract The known elastic limits and shakedown limits are reviewed for the problem of Hertzian contact with and without friction. Additional values are then derived where the literature is deficient, i.e., for the case of a general elliptical contact with a frictional force applied parallel with one of the axes. A new limit is then derived for the case when the residual stress is ‘cylindrical’ in nature.