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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39 citations
33 citations
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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
39 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...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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37 citations
37 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...To name few such works are Eringen [17], Hajdo and Eringen [18], Eringen [19], Acharya and Mondal [20], Roy, Acharya, and Acharya [21], etc....
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...To name few such works are Eringen [17], Hajdo and Eringen [18], Eringen [19], Acharya and Mondal [20], Roy, Acharya, and Acharya [21], etc. Narendra [22] studied spectral finite element and nonlocal continuum mechanics based formulation for torsional wave propagation in nano-rods....
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33 citations
"Plane waves in nonlocal thermoelast..." refers methods 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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33 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...Narendra [22] studied spectral finite element and nonlocal continuum mechanics based formulation for torsional wave propagation in nano-rods....
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