Circular Inclusion in Half-Plane: Effect of Boundary Conditions
Publication: Journal of Engineering Mechanics
Volume 124, Issue 3
Abstract
We consider an elastic circular inclusion embedded in a half-plane and subjected to uniform transformation strains (eigenstrains). The inclusion-matrix interface is either perfectly bonded or is allowed to slip without friction, while the straight edge of the half-plane is either fixed or frictionless (free to move in the horizontal direction). We compare the results with a recently obtained solution of an inclusion in a half-plane with a traction-free edge and show that the boundary conditions at both the inclusion-matrix interface and the half-plane edge have a significant effect on stress fields. Additionally, we observe that the effects of the interaction between the inclusion and the straight edge may be long range, i.e., may be observable when the inclusion is embedded several diameters away from the surface. We solve this plane elasticity problem using Papkovich-Neuber displacement potentials in the forms of infinite series and integrals.
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Published In
Journal of Engineering Mechanics
Volume 124 • Issue 3 • March 1998
Pages: 293 - 300
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Mar 1, 1998
Published in print: Mar 1998
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