Uniformity of stresses within an elliptical inhomogeneity coated by an interphase layer with eigenstrains

Wang, Xu; Schiavone, Peter

doi:10.2140/jomms.2023.18.263

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Uniformity of stresses within an elliptical inhomogeneity coated by an interphase layer with eigenstrains

Xu Wang and Peter Schiavone

Vol. 18 (2023), No. 2, 263–275

DOI: 10.2140/jomms.2023.18.263

Abstract

We study the state of stress inside an elliptical elastic inhomogeneity which is bonded to an infinite matrix through an intermediate confocal interphase layer undergoing uniform in-plane eigenstrains. A simple condition is found that ensures that the internal stress state is uniform but in general nonhydrostatic. This condition can be considered as a restriction on the imposed eigenstrains for given geometric and material parameters of the three-phase composite. Once this condition is met, the corresponding stress distributions are obtained in elementary form. In particular, the mean stress is found to be uniform within the interphase layer.

Keywords

elliptical inhomogeneity, interphase layer, eigenstrain, uniform stress state, plane elasticity

Milestones

Received: 19 October 2022

Revised: 16 December 2022

Accepted: 29 December 2022

Published: 18 April 2023

Authors

Xu Wang
School of Mechanical and Power Engineering East China University of Science and Technology Shanghai China

Peter Schiavone
Department of Mechanical Engineering University of Alberta Edmonton, AB Canada

Vol. 18, No. 2, 2023

Xu Wang and Peter Schiavone

Abstract

Keywords

Milestones

Authors