A Rigid Stamp Indentation into a Semiplane with a Curvature-Dependent Surface Tension on the Boundary

DOI10.1137/15M1044096zbMath1332.74010MaRDI QIDQ2794984

Anna Y. Zemlyanova, Jay R. Walton

Publication date: 18 March 2016

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

microstructureintegral equationssurface tensioncontact problemssurface elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70)

Related Items (6)

An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form ⋮ Interaction of Multiple Plane Straight Fractures in the Presence of the Steigmann--Ogden Surface Energy ⋮ Flamant solution of a half-plane with surface flexural resistibility and its applications to nanocontact mechanics ⋮ Frictionless contact of a rigid stamp with a semi-plane in the presence of surface elasticity in the Steigmann–Ogden form ⋮ 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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