Surface tension-induced interfacial stresses around a nanoscale inclusion of arbitrary shape

DOI10.1007/s00033-017-0876-7zbMath1394.74016OpenAlexW2766078256MaRDI QIDQ680162

Juan-Miguel Gracia

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0876-7

zbMATH Keywords

surface tensioncomplex variable methodsinterfacial stressnanoscale inclusionnon-elliptical shape

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Boundary value problems in the complex plane (30E25) Statics (70C20) PDEs in connection with mechanics of deformable solids (35Q74) Equations linearized about a deformed state (small deformations superposed on large) (74B15) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (5)

Discussion of the linearized version of the Steigmann-Ogden surface model in plane deformation and its application to inclusion problems ⋮ Thermal-elastic field around an elliptical nano-inclusion with interface conduction and interface stress effects ⋮ Interface tension-induced stress field around periodic nano-inclusions of arbitrary shape ⋮ A study on the Gurtin-Murdoch model for spherical solids with surface tension ⋮ An alternative numerical scheme for calculating the thermal stresses around an inclusion of arbitrary shape in an elastic plane under uniform remote in-plane heat flux

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