Spherical Inclusion in an Elastic Matrix in the Presence of Eigenstrain, Taking Into Account the Influence of the Properties of the Interface, Considered as the Limit of a Layer of Finite Thickness
Previously, the authors proposed a model of surface elasticity, in which the internal boundary was considered as a thin structured layer endowed with its own elasticity. The transition to the limit of an infinitely thin boundary was carried out in two stages. For a structured boundary of an interfac...
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Published in | Mechanics of solids Vol. 54; no. 4; pp. 514 - 522 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Moscow
Pleiades Publishing
01.07.2019
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | Previously, the authors proposed a model of surface elasticity, in which the internal boundary was considered as a thin structured layer endowed with its own elasticity. The transition to the limit of an infinitely thin boundary was carried out in two stages. For a structured boundary of an interface, the governing equations of surface elasticity are formulated, generalizing the well-known Shuttleworth equations. In the present work, such a model is supplemented by boundary conditions on the interface and with its help the problem of spherically symmetric deformation of an infinite body with a spherical inclusion is considered. |
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ISSN: | 0025-6544 1934-7936 |
DOI: | 10.3103/S0025654419040034 |