The elastic fields due to a circular inclusion embedded in an elastic half-plane, subjected either to a uniform uniaxial stress at infinity parallel to the edge boundary, or a uniform nonshear type eigenstrain loading, are investigated. The interface between the inclusion and the remaining material is perfectly bonded, or allows pure sliding (shear tractions are specified to vanish).
The paper analyzes the elastic fields caused by an elliptic inclusion which undergoes a uniform expansion. The interface between the inclusion and the matrix cannot sustain shear tractions and is free to slip. Papkovich–Neuber displacement potentials are used to solve the problem. In contrast to the perfectly bonded interface, the solution cannot be expressed in closed form and involves infinite series. The results are illustrated by numerical examples.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.