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Uniformity of
stresses within an elliptical inhomogeneity coated by an
interphase layer with eigenstrains
Xu Wang and Peter Schiavone |
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Vol. 18 (2023), No. 2, 263–275
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Abstract |
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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. |
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Keywords
elliptical inhomogeneity, interphase layer, eigenstrain,
uniform stress state, plane elasticity
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Milestones
Received: 19 October 2022
Revised: 16 December 2022
Accepted: 29 December 2022
Published: 18 April 2023
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Authors |
| Xu Wang | |
| School of Mechanical and Power
Engineering East China University of Science and Technology Shanghai China |
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| Peter Schiavone | |
| Department of Mechanical
Engineering University of Alberta Edmonton, AB Canada |
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| © 2023 MSP (Mathematical Sciences Publishers). |
