Finite deformation of a circular inclusion with inhomogeneous imperfect interface conditions in harmonic materials
Abstract
The objective of this study is to determine the effect that introducing circumferential variations has on an imperfect interface in a circular inclusion in finite elasticity. The inclusion and surrounding matrix are assumed to be comprised of a particular class of materials referred to as harmonic materials and the analysis is confined to the case of plane strain deformations. This opens the door for the use of complex variable methods to derive analytic solutions for the interfacial stress under varying interface conditions.This thesis focuses on three specific types of imperfect interface conditions, namely; the case where the degree of imperfection is the same in the coordinate directions normal and tangential to the interface, the case of a non-slip interface where the tangential degree of imperfection prevents rotation of the inclusion, and the case of a sliding interface where the normal degree of imperfection prevents separation of the interphase layer.Using the technique of analytic continuation, analytic solutions are developed and results are contrasted to a corresponding homogeneous interface for all three of the aforementioned interface conditions. The results indicate that in general, the homogeneous interface model is not accurate in predicting the stress along the inclusion interface.
Description
Keywords
Applied Mechanics, Engineering--Mechanical
Citation
McArthur, D. (2016). Finite deformation of a circular inclusion with inhomogeneous imperfect interface conditions in harmonic materials (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/26180