# Generalized magneto-thermoelastic half-space with diffusion under initial stress using three-phase-lag model

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### Cites background from "Generalized magneto-thermoelastic h..."

...The theory of generalized thermoelasticity has drawn attention of researchers due to its applications in various diverse fields such as engineering, nuclear reactor’s design, high energy particle accelerators, etc (Othman and Eraki 2017)....

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32 citations

### Cites background from "Generalized magneto-thermoelastic h..."

...In many engineering applications, non-isothermal elastic problems are of great interest and have become increasingly important (Sur and Kanoria 2015a; Biswas 2019a; Li 2017; Othman and Eraki 2017; El-Attar, Hendy, and Ezzat 2019)....

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##### References

3,266 citations

### "Generalized magneto-thermoelastic h..." refers methods in this paper

...We recall the rst two earliest andwell-known generalized theories proposed by Lord and Shulman (1967) and Green and Lindsay (1972) In the model (1967), the Fourier law of heat conduction is replaced byMaxwell–Cattaneo law that introduces one thermal relaxation time parameter in Fourier’s law,…...

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2,287 citations

### "Generalized magneto-thermoelastic h..." refers background in this paper

...Introduction The generalized theories of thermoelasticity have been developed to overcome the in nite propagation speed of thermal signals predicted by the classical coupled dynamical theory of thermoelasticity (Biot, 1956)....

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...The generalized theories of thermoelasticity have been developed to overcome the in nite propagation speed of thermal signals predicted by the classical coupled dynamical theory of thermoelasticity (Biot, 1956)....

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1,649 citations

### "Generalized magneto-thermoelastic h..." refers background in this paper

...Later on, Green and Naghdi (1991, 1992, 1993) proposed another three models, which are subsequently referred to a GN-I, II, and III models....

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1,435 citations

### "Generalized magneto-thermoelastic h..." refers background or methods in this paper

...In particular, the models of Green and Naghdi are recovered, this theory seems an extension of the one proposed by Tzou (1995)....

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...The other hyperbolic thermoelasticity theory was proposed by Tzou (1995), called dual-phase-lag model, in which Fourier’s law is replaced by an approximation to a modi cation of Fourier’s law with CONTACT Ebtesam E. M. Eraki ebtesam.eraki@yahoo.com Department of Mathematics, Faculty of Science,…...

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1,143 citations

### "Generalized magneto-thermoelastic h..." refers background in this paper

...Later on, Green and Naghdi (1991, 1992, 1993) proposed another three models, which are subsequently referred to a GN-I, II, and III models....

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