Fractional Order Thermoelastic Problem for an Infinitely Long Solid Circular Cylinder

In this study, we consider an infinitely long solid circular cylinder, whose lateral surface is traction free and subject to a known surrounding temperature. The problem is in the context of the fractional order thermoelasticity theory. The medium is assumed to be initially quiescent. The solution i...

Full description

Saved in:
Bibliographic Details
Published inJournal of thermal stresses Vol. 38; no. 2; pp. 133 - 145
Main Author Hussein, Eman M.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.02.2015
Taylor & Francis Ltd
Subjects
Boundary conditions
Circular Cylinder
Circular cylinders
Fourier series
Fractional Order Thermoelasticity
Generalized Thermoelasticity
Geometry
Inverse problems
Inversions
Laplace transforms
Materials elasticity
Mathematical analysis
Mathematical models
Numerical analysis
Temperature effects
Traction
Online AccessGet full text
ISSN0149-5739
1521-074X
DOI10.1080/01495739.2014.936253

Cover

More Information
Summary:In this study, we consider an infinitely long solid circular cylinder, whose lateral surface is traction free and subject to a known surrounding temperature. The problem is in the context of the fractional order thermoelasticity theory. The medium is assumed to be initially quiescent. The solution is obtained by a direct approach without the customary use of potential functions. Laplace transform technique is used to obtain the general solution for any set of boundary conditions. The inversion process is carried out using a numerical method based on Fourier series expansions. Numerical results are given and represented graphically.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:0149-5739
1521-074X
DOI:10.1080/01495739.2014.936253