The displacements representations of the type used by Christensen and Lo (J. Mech. Phys. Solids 27, 1979) are modified to allow for analytical treatment of problems involving spherical and circular material surfaces that possess constant surface tension. The modified representations are used to derive closed-form expressions for the local elastic fields and effective moduli of macroscopically isotropic composite materials containing spherical and circular inhomogeneities with the interfaces described by the complete Gurtin-Murdoch and Steigmann-Ogden models.
|Original language||English (US)|
|Number of pages||23|
|Journal||Quarterly Journal of Mechanics and Applied Mathematics|
|State||Published - Nov 1 2019|
Bibliographical noteFunding Information:
The first author (S.M.) gratefully acknowledges the support provided by the Theodore W. Bennett Chair, University of Minnesota. The second author (V.K.) acknowledges the support from Science and Technology Center in Ukraine (STCU), award #6247. The third author (A.Z.) gratefully acknowledges the support from Simons Collaboration grant, award # 319217.
© The Author(s), 2019. Published by Oxford University Press; all rights reserved.