Plane waves in nonlocal thermoelastic solid with voids
Citations
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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
804 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...The nonlinear and linear theory of elastic medium with voids was developed by Cowin and his coworkers [27,28]....
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...Note that in Iesan [37] theory of thermoelastic materials with voids, he did not account the term corresponding to the time rate of /, while this term appears in Cowin and Nunzaito theory [28]....
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709 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...The nonlinear and linear theory of elastic medium with voids was developed by Cowin and his coworkers [27,28]....
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376 citations
361 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...The theory of thermoelastic solid with void pores developed by Iesan [37] is a nice extension of the Classical Coupled Thermoelasticity theory....
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..., when e 1⁄4 0), the equations of motion given in (9)–(11) reduce to those for a homogeneous isotropic local thermoelastic solid with voids, as earlier presented by Iesan [37] in the absence of quantity s:...
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...Within the linear theory of thermoelastic material with voids [37], the energy equation has the form qT0 _ g 1⁄4 r qþ qR; (6) where R; g and T0 are respectively the extrinsic heat supply, entropy and ambient temperature....
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...Following Iesan [37] and Challamel et al....
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...Note that in Iesan [37] theory of thermoelastic materials with voids, he did not account the term corresponding to the time rate of /, while this term appears in Cowin and Nunzaito theory [28]....
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278 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...With the growing popularity of Eringen’s nonlocal elastic model, researchers employed it to various problems of elasticity....
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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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...Field equations and constitutive relations Within the framework of Eringen’s theory of nonlocal elasticity [2], the constitutive relations for thermoelastic solid with voids are given by [50] 1 e2r2ð Þtij ¼ tLij ¼ 2leij xð Þ þ kekk xð Þ þ b/ xð Þ ch xð Þ½ dij; (1) 1 e2r2ð Þhi ¼ hLij ¼ a/;i xð Þ; (2) 1 e2r2ð Þg ¼ gL ¼ s _/ xð Þ n/ xð Þ bekk xð Þ þmh xð Þ; (3) 1 e2r2ð Þqg ¼ qgð ÞL ¼ cekk xð Þ þ ah xð Þ þm/ xð Þ; (4) where the quantities tLij; h L i ; g L and ðqgÞL correspond the local thermoelastic solid with voids....
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...Eringen has extended the concept of nonlocality to various other CONTACT S. K. Tomar sktomar@pu.ac.in; sktomar66@gmail.com Department of Mathematics, Panjab University, Chandigarh 160 014, India....
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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....
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