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.
ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. 2018. Vol. 98, № 2. P. 306-311
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eng
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Short note: Method of Dimensionality Reduction for compressible viscoelastic media. I. Frictionless normal contact of a Kelvin-Voigt solid