TY - JOUR
T1 - Displacements representations for the problems with spherical and circular material surfaces
AU - Mogilevskaya, Sofia G.
AU - Kushch, Volodymyr I.
AU - Zemlyanova, Anna Y.
N1 - Publisher Copyright:
© The Author(s), 2019. Published by Oxford University Press; all rights reserved.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - 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.
AB - 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.
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U2 - 10.1093/qjmam/hbz013
DO - 10.1093/qjmam/hbz013
M3 - Article
AN - SCOPUS:85066063509
SN - 0033-5614
VL - 72
SP - 449
EP - 471
JO - Quarterly Journal of Mechanics and Applied Mathematics
JF - Quarterly Journal of Mechanics and Applied Mathematics
IS - 4
ER -