Displacements representations for the problems with spherical and circular material surfaces

Sofia G. Mogilevskaya, Volodymyr I. Kushch, Anna Y. Zemlyanova

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)449-471
Number of pages23
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume72
Issue number4
DOIs
StatePublished - Nov 1 2019

Bibliographical note

Funding 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.

Publisher Copyright:
© The Author(s), 2019. Published by Oxford University Press; all rights reserved.

Fingerprint

Dive into the research topics of 'Displacements representations for the problems with spherical and circular material surfaces'. Together they form a unique fingerprint.

Cite this