In this paper, we explore the mechanical contact interaction of two id
entical elastic spheres uniformly coated with thin layers of a differe
nt elastic material, These two coating layers intersect over a finite
contact area thus bonding the spheres. The normal contact stiffness an
d the shear contact stiffness increase when the spheres are axially pr
essed together, due to the increasing contact area. The dependence of
these stiffnesses on the axial load is calculated by using a new appro
ximate analytical solution, The solution also gives the distributions
of the normal and shear stress components on the cemented contact. We
use this solution to calculate the pressure dependence of the effectiv
e elastic moduli of a random pack of identical cemented spheres, This
pressure dependence may be large if the initial contact radius is smal
l, It is insignificant for large contact radii, If the spheres are in
direct contact and the initial contact radius is small, the elastic pr
operties of the cement have little effect on the pack's elastic moduli
. However, if the spheres are separated by even a small cemented gap,
the elastic properties of the cement may have a considerable effect on
the pack's elastic moduli.