Kalker tabulates these coefficients in his Ph.D. thesis. You can find approximation functions to these coefficients in my Ph.D. thesis (below) - see page 141.
Thesis ESTIMATION OF STATES AND PARAMETERS FROM DYNAMIC RESPONSE OF WHEELSET
These coefficients depend on the shape of the contact patch and Poisson ratio, and are independent of the contact size. The same values will be obtained for a full-scale wheel-rail contact as for a scaled contact, as long as the shape stays the same.
Kalker tabulated the coefficients for elliptical contacts only, with aspect ratios a/b or b/a being 0.1, 0.2, ... 1.0, and for Poisson ratios \nu = 0, 0.25 and 0.50. Today, we can compute the same using CONTACT using a fine grid discretization. This avoids interpolation of the tabulated values, and permits extension of the linear theory to non-Hertzian contacts, with non-elliptical contact shapes.