A Reissner-Sagoci problem for a nonhomogeneous elastic solid (Q1082105)

The present paper examines the elastostatic problem related to the axisymmetric rotation of a rigid circular punch which is bonded to the surface of a nonhomogeneous isotropic elastic halfspace. The nonhomogeneity corresponds to an axial variation of the linear elastic shear modulus according to the exponential form \(G(z)=G_ 1+G_ 2e^{- \zeta z}\). A Hankel transform development of the governing equations yields a set of dual integral equations which in turn can be reduced to a Fredholm integral equation of the second kind. A numerical evaluation of this integral equation yields results which can be used to estimate the torque-twist relationship for the circular punch.