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 inMechanics of solids Vol. 54; no. 4; pp. 514 - 522
Main Authors Gorodtsov, V. A., Lisovenko, D. S., Ustinov, K. B.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.07.2019
Springer Nature B.V
Subjects
Boundary conditions
Classical Mechanics
Elasticity
Mathematical models
Physics
Physics and Astronomy
Thickness
strain
strength
stress
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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.
ISSN:0025-6544
1934-7936
DOI:10.3103/S0025654419040034