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Thermal stress analysis of an anisotropic elastic elliptical inhomogeneity with an imperfect interface

Xu Wang and Peter Schiavone
Vol. 13 (2025), No. 4, 447–457
DOI: 10.2140/memocs.2025.13.447
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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Keywords
elliptical inhomogeneity, imperfect interface, interface function, uniform temperature change, anisotropic elasticity, Stroh formalism, real-form solution
Mathematical Subject Classification
Primary: 74A50, 74E05, 74E10, 74F05
Milestones
Received: 23 March 2025
Revised: 19 June 2025
Accepted: 8 July 2025
Published: 29 September 2025

Communicated by Emilio Barchiesi
Authors
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
Shanghai, 200237
China
Peter Schiavone
Department of Mechanical Engineering
University of Alberta
10-203 Donadeo Innovation Center for Engineering
Edmonton, AB T6G 1H9
Canada
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