Abstract

The extended Stroh sextic formalism for thermo-anisotropic elasticity is employed to perform a rigorous thermal stress analysis of the two-dimensional thermoelastic problem of an anisotropic elastic elliptical inhomogeneity bonded to an infinite anisotropic elastic matrix via a spring-type imperfect elliptical interface under a uniform temperature change. The same degree of imperfection is realized in both the normal and in-plane tangential directions of the elliptical interface which is then characterized by only two nonnegative imperfect interface functions. A judicious choice of the two interface functions leads to uniform stress and strain distributions inside the elliptical inhomogeneity. Furthermore, using the identities developed in the Stroh sextic formalism, we present an explicit real-form solution describing the uniform thermoelastic field of stresses and strains inside the imperfectly bonded elliptical inhomogeneity.

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