1Thermal Stress in Double-Inhomogeneity

چکیده مقاله

In this investigation, double inhomogeneity is referred to a system consisting of two nested ellipsoidal inhomogeneities of arbitrary elastic constants, size, and orientation,which are embedded in an infinitely extended medium The elastic properties of the three phases are in general different from one another The present paper shall address the thermal stress distribution in and around the core inhomogeneity when the ellipsoidals are concentric The problem is encountered during the fabrication process or from temperature excursions of composite materials The mismatch of the thermal expansion coefficients of the phases is responsible for high residual stress concentration The present methodology enjoys a micromechanical approach, where the thermal loading is replaced by appropriate misfit strains within the inhomogeneities These misfit strains are determined from a superposition scheme Next using equivalent inclusion method, the double inhomogeneity is replaced by an equivalent doubleinclusion problem with proper eigenstrains The results obtained by the proposed theory are in good agreement with the results obtained by Mikata and Taya, who employed the classical Boussinesq Sadowsky stress function