A circular inclusion with inhomogeneous imperfect interface in harmonic materials

Abstract eng:
Complex variable methods have been employed extensively to model inclusions in linear elasticity but have not yet seen a similar degree of success in the finite regime. With the advent of Fritz’s harmonic materials [I] and more recently the work of Ru [2], a concise framework has been established for approaching inclusion problems using complex variable techniques in finite elasticity. From these foundations, a number of inclusion problems in finite elasticity have been studied in recent years including but not exclusive to; elliptical inclusions with uniform stress fields, partially de-bonded circular inclusions, three phase circular inclusions, and a circular inclusion with homogeneously imperfect interface. Of these works, none have incorporated the concept of a circumferentially inhomogeneous imperfect interface. This is an important distinction because in general, interfacial damage does not occur homogeneously and it is thought that this could have a significant impact on the stress fields within the inclusion.

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