Thermomechanical behavior of a viscoelastic finite circular cylinder under harmonic deformations
type: Item
instance of: scholarly article
title: Thermomechanical behavior of a viscoelastic finite circular cylinder under harmonic deformations
zbMATH Open document ID: 1073.74020
DOI: 10.1023/A:1025027807089
author: V. G. Karnaukhov
author: I. K. Senchenkov
published in: Journal of Engineering Mathematics
publication date: 2004-05-27T00:00:00Z
review text: This comprehensive and consistent paper aims according to the authors ``to present the results of investigation of stress-strain state and self-heating of the viscoelastic finite cylinder under axial harmonic compression within a coupled problem of thermoviscoelasticity. The method of superposition is applied to calculate the distribution of stress and temperature [\textit{V. T. Grinchenko}, \textit{V. G. Karnaukhov} and \textit{I. K. Senchenkov}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1974, 252--255 (1974; Zbl 0278.73024)]. Methods of critical loads are presented''. The paper is systematized as follows: 1. Introduction; 2. Statement of the problem; 3. Construction of the solutiont; 4. Analysis of the infinite system; 5. Calculation of the stresses; 6. Compression stiffness; 7. Vibration heating; 8. Thermal instability; 9. Conclusions. The paper could be of interest to researchers in many fields of engineering where thermoplastic materials are widely used.
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74F05
zbMATH DE Number: 2068951
zbMATH Keywords: thermal instability
zbMATH Keywords: method of superposition
reviewed by: Gheorghe Gr. Ciobanu
MaRDI profile type: Publication
full work available at URL: a:1025027807089
OpenAlex ID: W173443860
description: scientific article; zbMATH DE number 2068951