We use the Stroh sextic formalism to examine the internal elastic field of stresses and
strains inside an anisotropic elastic elliptical inhomogeneity which is bonded to an infinite
anisotropic elastic matrix through an intermediate isotropic elastic interphase layer with
two confocal elliptical interfaces when the matrix is subjected to nonuniform remote stresses
and strains assumed to be linear functions of the two in-plane coordinates. We prove that
for given geometric and material parameters characterizing the composite, linear internal
stress and strain distributions inside the elliptical inhomogeneity remain possible when
two specific conditions are satisfied for the remote loading. In addition, the internal
linear elastic field inside the elliptical inhomogeneity is determined in real-form in terms
of the two
fundamental elasticity matrices for the inhomogeneity and the matrix and
the three Barnett–Lothe tensors for the matrix.
