A numerical method is used to resolve the classic Mindlin-Cattaneo partial slip problem for contact between similar and between dissimilar bodies. It is shown that, for similar bodies, the surface frictional energy dissipation is concentrated off the plane of symmetry although the overall dissipation is similar to that predicted by the classical solution. This effect is enhanced for certain combinations of dissimilar materials, where the process of frictional shakedown leads to a displaced contact and hence additional shear compliances.

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