Journal
ARCHIVE OF APPLIED MECHANICS
Volume 82, Issue 4, Pages 557-572Publisher
SPRINGER
DOI: 10.1007/s00419-011-0572-6
Keywords
Thermoelasticity; Modified Fourier law; Three-phase lag; Modified Riemann-Liouville fractional derivative; New fractional Taylor's series; State space approach; Fractional calculus
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In this work, the field equations of the linear theory of thermoelasticity have been constructed in the context of a new consideration of Fourier law of heat conduction with time-fractional order and three-phase lag. A uniqueness and reciprocity theorems are proved. One-dimensional application for a half-space of elastic material in the presence of heat sources has been solved using Laplace transform and state space techniques Ezzat (Canad J Phys Rev 86:1241-1250, 2008). According to the numerical results and its graphs, conclusion about the new theory has been established.
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