Fractal geometry-based hypergeometric time series solution to the hereditary thermal creep model for the contact of rough surfaces using the Kelvin-Voigt medium
type: Item
instance of: scholarly article
title: Fractal geometry-based hypergeometric time series solution to the hereditary thermal creep model for the contact of rough surfaces using the Kelvin-Voigt medium
zbMATH Open document ID: 1425.74335
DOI: 10.1155/2010/652306
author: Osama M. Abuzeid
author: Anas N. Al-Rabadi
author: Hashem S. Alkhaldi
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
review text: Summary: This paper aims at constructing a continuous hereditary creep model for the thermoviscoelastic contact of a rough punch and a smooth surface of a rigid half-space. The used model considers the rough surface as a function of the applied load and temperatures. The material of the rough punch surface is assumed to behave as Kelvin-Voigt viscoelastic material. Such a model uses elastic springs and viscous dashpots in parallel. The fractal-based punch surface is modelled using a deterministic Cantor structure. An asymptotic power law, deduced using approximate iterative relations, is used to express the punch surface creep which is a time-dependent inelastic deformation. The suggested law utilized the hypergeometric time series to relate the variables of creep as a function of remote forces, body temperatures, and time. The model is valid when the approach of punch surface and half space is in the order of the size of the surface roughness. The closed-form results are obtained for selected values of the system parameters; the fractal surface roughness and various material properties. The obtained results show good agreement with published experimental results, and the methodology can be further extended to other structures such as the Kelvin-Voigt medium within electronic circuits and systems.
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74H10
Mathematics Subject Classification ID: 62M10
zbMATH DE Number: 5793780
Wikidata QID: Q58653245
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/652306
OpenAlex ID: W2145810569
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description: scientific article; zbMATH DE number 5793780