# Memory response in plane wave reflection in generalized magneto-thermoelasticity

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### Cites background from "Memory response in plane wave refle..."

...[31] studied thememory response in planewave reflection in generalizedmagneto-thermoelasticity....

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##### References

4,133 citations

### Additional excerpts

...The critical angle θC for the elastic case is given by θC = sin−1(β) [39]....

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3,266 citations

### "Memory response in plane wave refle..." refers background or result in this paper

...[22, 26] introduced the first order MDD, instead of fractional calculus, into the rate of heat flux in LS theory [4] of generalized thermoelasticity to denote memory-dependence as: ( 1 + τ0Dτ0 ) qi = −KT ,i,...

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...The phase speeds of the coupled longitudinal waves are plotted graphically to predict a comparison between the MDD and the Lord–Shulman (LS) models....

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...Lord and Shulman [4], Green and Lindsay [5], and Green and Naghdi [6] proposed three different generalized heat conduction equationswhich are themost discussed hyperbolic-type heat equations in the literature....

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...This result agrees with that in the conventional coupled as well as LS theories [2, 4] of thermoelasticity....

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2,287 citations

### "Memory response in plane wave refle..." refers background or result in this paper

...Initially, the motivation was to avoid the unpleasant feature of the classical coupled heat conduction model [2] in which the the thermal signals propagate with infinite speed....

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...This result agrees with that in the conventional coupled as well as LS theories [2, 4] of thermoelasticity....

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2,263 citations

### "Memory response in plane wave refle..." refers methods in this paper

...Diethelm [30] incorporated a kernel function and modified a Caputo-type fractional-order derivative as...

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1,593 citations