Justification and refinement of Winkler-Fuss hypothesis

DOI10.1007/s00033-018-0974-1zbMath1393.74059OpenAlexW2806803346WikidataQ57573963 ScholiaQ57573963MaRDI QIDQ721339

L. Sultanova, Danila A. Prikazchikov, Julius D. Kaplunov

Publication date: 19 July 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/s00033-018-0974-1

zbMATH Keywords

contrastasymptoticsubstratesoft thin coatingWinkler-Fuss model

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Thin films (74K35)

Related Items (7)

Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation ⋮ Three-dimensional dynamic analysis of layered elastic shells ⋮ An ill-posed Cauchy type problem for an elastic strip ⋮ Integral equations in direct and inverse problems of elastostatics for crack detection in layered structures ⋮ Elastic contact of a stiff thin layer and a half-space ⋮ Characterization of the behavior of different contacts with double coating ⋮ Gravitational settling of a cell on a high-aspect-ratio nanostructured substrate -- an asymptotic modeling approach

Cites Work

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• A long-wave model for the surface elastic wave in a coated half-space
• The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation
• On Some Classes of 3D Boundary-Value Problems of Statics and Dynamics of Plates and Shells
• Elastic and Viscoelastic Foundation Models
• A General Solution for the Bending of Beams on an Elastic Foundation of Arbitrary Continuity

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