Displacements representations for the problems with spherical and circular material surfaces

DOI10.1093/qjmam/hbz013zbMath1479.74110arXiv1906.04797OpenAlexW2968718508MaRDI QIDQ4958876

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

Publication date: 15 September 2021

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04797

zbMATH Keywords

effective elastic modulusSteigmann-Ogden interface modelconstant surface tensionlocal elastic fieldGurtin-Murdoch interface model

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Effective constitutive equations in solid mechanics (74Q15)

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Anisotropic imperfect interface in elastic particulate composite with initial stress ⋮ Size-dependent effective shear modulus in a three-phase sphere model incorporating Steigmann-Ogden surface elasticity ⋮ Interaction of Multiple Plane Straight Fractures in the Presence of the Steigmann--Ogden Surface Energy ⋮ On the stress analysis around a nanoinhomogeneity embedded in a half-space with the account of Steigmann-Ogden interface effects ⋮ Maxwell's methodology of estimating effective properties: alive and well ⋮ A study on the Gurtin-Murdoch model for spherical solids with surface tension ⋮ Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann–Ogden surface model ⋮ Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary

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