Plane waves in nonlocal thermoelastic solid with voids
Citations
73 citations
65 citations
Cites background or methods or result from "Plane waves in nonlocal thermoelast..."
...reduces to the classical transverse wave speed, a result recently obtained by Sarkar and Tomar [14] in the relevant medium when r 61⁄4 1....
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...Within the framework of Eringen’s theory of nonlocal elasticity [1], the constitutive relations for thermoelastic solid with voids are given by [12,14] 1 e2r2 ð Þsij 1⁄4 sij 1⁄4 2leij þ kekk þ b/ ch ð Þdij; (1) 1 e2r2 ð Þhi 1⁄4 hij 1⁄4 a/;i; (2) 1 e2r2 ð Þg 1⁄4 g 1⁄4 s _ / n/ bekk þmh; (3) 1 e2r2 ð Þqg 1⁄4 qg ð Þ 1⁄4 cekk þ ahþm/; (4)...
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...(28) gives the coupled longitudinal wave velocities for Lord-Shulman thermoelastic model [19] which are recently obtained by Sarkar and Tomar [14]....
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...For this purpose, we have borrowed the values of relevant material parameters from Sarkar and Tomar [14] and Sing et al....
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...This shows that x 1⁄4 xc acts as a cutoff frequency for the existing transverse wave, a conclusion in accordance with that earlier mentioned by Sarkar and Tomar [14]....
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Cites background from "Plane waves in nonlocal thermoelast..."
...Khurana and Tomar [12] extended the theory of nonlocal elasticity to nonlocal theory of microstretch elasticity and then they investigated wave propagation in nonlocal microstretch solid....
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...Recently, Sarkar and Tomar [20] studied plane waves in nonlocal thermoelastic solid with voids and thermal relaxation time and Mondal et al....
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...Recently, Sarkar and Tomar [20] studied plane waves in nonlocal thermoelastic solid with voids and thermal relaxation time and Mondal et al. [21] reported waves in dual-phase-lag thermoelastic materials with voids based on Eringen’s nonlocal elasticity....
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References
51 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...Ciarletta and Straughan [40] presented a model for acoustic wave propagation in a porous material which allows the propagation of a thermal wave....
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50 citations
"Plane waves in nonlocal thermoelast..." refers background or methods in this paper
...[16] proposed a nonlocal Fourier’s law and applied this model to the heat conduction of one-dimensional and two-dimensional thermal lattices....
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...[16], the nonlocal generalization of Cattaneo type heat conduction law for thermoelastic material with voids is postulated as 1 e2r2 ð Þ qþ s0 _ q ð Þ 1⁄4 Krh; (5) where q is the heat flux vector, s0 is the relaxation time parameter and K is the thermal conductivity....
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47 citations
46 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...Recently, Singh, Kaur, and Tomar [45] studied waves in a nonlocal elastic solid with voids....
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...Effect of c on the variations of (a) V1; (b) V2; (c) V3 with x. Equation (42) is the same equation as earlier obtained by Singh, Kaur, and Tomar [45] for the relevant medium....
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...Reflection and refraction of plane waves at a plane interface between two distinct nonlocal micropolar elastic solids half-spaces has also been studied recently by Khurana and Tomar [26]....
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...Rayleigh wave propagation in nonlocal micropolar elastic half-space and in nonlocal elastic half-space with voids have been studied respectively by Khurana and Tomar [24] and Kaur, Singh, and Tomar [25]....
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...Other important papers on the dynamical problems on elastic material with voids include Chandrasekharaiah [30,31], Wright [32], Chirita and Ghiba [33,34], Tomar and Ogden [35] including several others....
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40 citations
"Plane waves in nonlocal thermoelast..." refers background or methods in this paper
...They also investigated interactions in thermoelastic infinite medium with voids subjected to a instantaneous heat sources [43] and distributed time-dependent heat sources [44] by applying the above two models respectively....
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...Bachher, Sarkar, and Lahiri [43,44] proposed two models of generalized thermoelasticity with voids based on fractional derivative heat transfer....
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