A novel approximate method to calculate the force applied on an elastic half space by a rigid sphere

DOI10.1088/1361-6404/abccfbzbMath1526.74051OpenAlexW3110168391MaRDI QIDQ6105748

Unnamed Author, Unnamed Author

Publication date: 9 June 2023

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6404/abccfb

zbMATH Keywords

linear elasticityseries solutiongraphical solutionpolynomial curve fittingHertzian contact theoryextended Sneddon method

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

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Exploring oscillations with a nonlinear restoring force ⋮ Revisiting the theory behind AFM indentation procedures. Exploring the physical significance of fundamental equations ⋮ Development of an improved mathematical model for the dynamic response of a sphere located at a viscoelastic medium interface

Cites Work

• The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile
• Contact Mechanics and Friction
• Contact Mechanics
• The harmonic motion of a rigid cylinder on an elastic half-space

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