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....
[...]
...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)...
[...]
...(28) gives the coupled longitudinal wave velocities for Lord-Shulman thermoelastic model [19] which are recently obtained by Sarkar and Tomar [14]....
[...]
...For this purpose, we have borrowed the values of relevant material parameters from Sarkar and Tomar [14] and Sing et al....
[...]
...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]....
[...]
39 citations
33 citations
28 citations
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....
[...]
...Recently, Sarkar and Tomar [20] studied plane waves in nonlocal thermoelastic solid with voids and thermal relaxation time and Mondal et al....
[...]
...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....
[...]
References
4,133 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...(23)–(26) propagating in the positive direction of a unit vector n with speed c, we take the form of various potentials as [45,53,54] /; h; q;W f g 1⁄4 A/;Ah;Aq;B exp ik n r ct ð Þ ; (27) where A/; Ah and Aq are constant amplitudes, which may be complex, i 1⁄4 ffiffiffiffiffiffi 1 p is imaginary number, B is a vector constant, r ð1⁄4 x̂i þ ŷj þ zk̂Þ is the position vector and k is the wavenumber....
[...]
3,266 citations
"Plane waves in nonlocal thermoelast..." refers methods in this paper
...These relations and equations are the same as those obtained in the Lord–Shulman theory [51,52] of thermoelasticity with one relaxation time....
[...]
2,287 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...The theory of classical coupled thermoelasticity (CCT) [1] is found to be penurious for many physically acceptable situations....
[...]
...Introduction The theory of classical coupled thermoelasticity (CCT) [1] is found to be penurious for many physically acceptable situations....
[...]
1,987 citations
"Plane waves in nonlocal thermoelast..." refers background in this paper
...(23)–(26) propagating in the positive direction of a unit vector n with speed c, we take the form of various potentials as [45,53,54] /; h; q;W f g 1⁄4 A/;Ah;Aq;B exp ik n r ct ð Þ ; (27) where A/; Ah and Aq are constant amplitudes, which may be complex, i 1⁄4 ffiffiffiffiffiffi 1 p is imaginary number, B is a vector constant, r ð1⁄4 x̂i þ ŷj þ zk̂Þ is the position vector and k is the wavenumber....
[...]
1,967 citations