One-dimensional problem of a fractional order two-temperature generalized thermo-piezoelasticity
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Cites methods from "One-dimensional problem of a fracti..."
...Recently, the determination of the thermoelastic stress, strain and conductive temperature in a piezoelastic half-space body in the context of the fractional order two-emperature generalized thermoelasticity theory are obtained by Kanoria and Islam [16]....
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References
1,044 citations
"One-dimensional problem of a fracti..." refers background or methods in this paper
...The inversion of the transformed solutions is carried out numerically applying a method based on Fourier series expansion technique [78]....
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...It can be shown that [78] the sequence ε1,1, ε3,1, ε5,1, ....
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...Expanding the function h(x, t) = e−dtf (x, t) in a Fourier series in the interval [0, 2T], we obtain the approximate formula [78] f (x, t) = f∞(x, t) + ED (74)...
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...The values of d and T are chosen according to the criterion outlined in Honig and Hirdes [78]....
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...Next, the ε-algorithm is used to accelerate convergence [78]....
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1,019 citations
"One-dimensional problem of a fracti..." refers background in this paper
...In the context of the linearized version of this theory [18], a theorem on the uniqueness of solutions has been established by Chandrasekharaiah [19, 20]....
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...Problems concerning generalized theories such as ETE and TRDTE have been studied by Chandrasekharaiah [14] and Ignaczak [15]....
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...The fifth generalization of the thermoelasticity theory is known as the dual-phase-lag thermoelasticity developed by Tzou [28] and Chandrasekharaiah [29]....
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...Chandrasekharaiah [42] has generalized Mindlin’s theory of thermopiezoelectricity to account for the finite speed of propagation of thermal disturbances....
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833 citations
"One-dimensional problem of a fracti..." refers background in this paper
...In the context of the linearized version of this theory [18], a theorem on the uniqueness of solutions has been established by Chandrasekharaiah [19, 20]....
[...]
...Problems concerning generalized theories such as ETE and TRDTE have been studied by Chandrasekharaiah [14] and Ignaczak [15]....
[...]
...The fifth generalization of the thermoelasticity theory is known as the dual-phase-lag thermoelasticity developed by Tzou [28] and Chandrasekharaiah [29]....
[...]
...Chandrasekharaiah [42] has generalized Mindlin’s theory of thermopiezoelectricity to account for the finite speed of propagation of thermal disturbances....
[...]
805 citations
617 citations