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An isotropic elastic
sphere slides on the surfaces of transversely isotropic elastic half-spaces. In
one case the material symmetry axis coincides with the half-space surface
normal. In the other, the axis lies in the plane of the surface. In both cases
sliding proceeds with constant subcritical speed along a straight path at
an arbitrary angle to the principal material axes. A 3D dynamic steady
state is considered. Exact solutions for contact zone traction are derived
in analytic form, as well as formulas for contact zone geometry. Although
a sphere is involved, the solution process is not based on the assumption
of symmetry. Anisotropy is found to largely determine zone shape at low
sliding speed, but direction of sliding becomes a major influence at higher
speeds.
Keywords
3D dynamic, sliding, transverse isotropy, contact zone
geometry
