In this paper, we derive the general integral representation formulas (IRFs)
for the strain field and for the effective elasticity tensor of two-component
elastic composites. The information about the contrast is represented by a
rank-four tensor in the integrand while the information about the microgeometry
is included in the Stieltjes measure of the IRF. The relation between the IRFs
presented in this paper and those previously derived by various authors is also
explicitly established.