Premium
Fractional thermoelectric viscoelastic materials
Author(s) -
Ezzat Magdy A.,
ElKaramany Ahmed S.
Publication year - 2011
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.35243
Subject(s) - laplace transform , viscoelasticity , thermal conduction , fractional calculus , context (archaeology) , inverse laplace transform , materials science , mathematics , mathematical analysis , composite material , geology , paleontology
A new mathematical model of thermoelectro viscoelasticity theory was constructed in the context of a new consideration of heat conduction with fractional order. The state space approach developed earlier by Ezzat was adopted for the solution of a one‐dimensional problem in the presence of heat sources. The Laplace‐transform technique was used. A numerical method was employed for the inversion of the Laplace transforms. According to the numerical results and their graphs, a conclusion about the new theory was constructed. Some comparisons are shown in figures to estimate the effect of the fractional order parameter on all of the studied fields. © 2011 Wiley Periodicals, Inc. J Appl Polym Sci, 2012