Displacements representations for the problems with spherical and circular material surfaces with surface tension
Analysis of PDEs
2019-06-13 v1 Soft Condensed Matter
Abstract
The displacements representations of the type used by Christensen and Lo (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 a macroscopically isotropic composite materials containing spherical and circular inhomogeneities with the interfaces described by the complete Gurtin-Murdoch and Steigmann-Ogden models.
Keywords
Cite
@article{arxiv.1906.04797,
title = {Displacements representations for the problems with spherical and circular material surfaces with surface tension},
author = {Sofia G. Mogilevskaya and Volodymyr I. Kushch and Anna Y. Zemlyanova},
journal= {arXiv preprint arXiv:1906.04797},
year = {2019}
}
Comments
24 pages, 5 figures