On the non-uniqueness of solution in surface elasticity theory

DOI10.1177/1081286511417297OpenAlexW2165259138MaRDI QIDQ5136750

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Publication date: 27 November 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286511417297

zbMATH Keywords

surfaceelasticityuniquenesssurface stresscounter-example

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (1)

Shape-dependent natural boundary condition of Lagrangian field

Cites Work

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• Multiple interacting circular nano-inhomogeneities with surface/interface effects
• Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity
• Anti-plane shear Green's functions for an isotropic elastic half-space with a material surface
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• Boundary element analysis of nanoinhomogeneities of arbitrary shapes with surface and interface effects
• A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media
• A note on on-uniqueness in linear elasticity theory
• Effects of couple-stresses in linear elasticity
• A note on uniqueness in linear elastostatics
• Plane deformations of elastic solids with intrinsic boundary elasticity

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