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Short note: Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid E. Willert, V. L. Popov

By: Willert, EmanuelContributor(s): Popov, Valentin LMaterial type: ArticleArticleSubject(s): вязкоупругость | сжимаемость | Кельвина-Фойгта модельGenre/Form: статьи в журналах Online resources: Click here to access online In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik Vol. 98, № 2. P. 306-311Abstract: Based on the Method of Functional Equations by Lee and Radok we present the application of the Method of Dimensionality Reduction to frictionless axisymmetric normal contacts with a compressible Kelvin‐Voigt material. Both the contact between a rigid indenter and a viscoelastic medium and contacts between two viscoelastic bodies are studied. All mapping rules are given, strictly proven and illustrated by examples.
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Based on the Method of Functional Equations by Lee and Radok we present the application of the Method of Dimensionality Reduction to frictionless axisymmetric normal contacts with a compressible Kelvin‐Voigt material. Both the contact between a rigid indenter and a viscoelastic medium and contacts between two viscoelastic bodies are studied. All mapping rules are given, strictly proven and illustrated by examples.

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