Waves in nonlocal thermoelastic solids of type II
Citations
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Additional excerpts
...We may then write φi = A0 exp {ιk1(x sin θ0 − z cos θ0) − ιωt} , (32) φr = A1 exp {ιk1(x sin θ1 + z cos θ1) − ιωt} + A2 exp {ιk2(x sin θ2 + z cos θ2) − ιωt} , (33) ψr = B1 exp {ιk3(x sin θ3 + z cos θ3) − ιωt} ....
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References
3,266 citations
Additional excerpts
...Green-Nagdhi (GN-II) [29], Lord–Shulman (LS) [30] and Green–Lindsay (GL) [31] theories....
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2,201 citations
"Waves in nonlocal thermoelastic sol..." refers background in this paper
...In the same year, Edelen et al. [3] introduced nonlocal continuum mechanics....
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...where r2 @2=@x2 þ @2=@z2; e ð1⁄4 e0aÞ is the elastic nonlocal parameter [4], [13] having the dimension of length, a; e0; respectively, are an internal characteristic length and a constant, s ! is the stress tensor, s !L stands for stress tensor in local thermoelastic medium, k; l are Lam e constants, c 1⁄4 ð3kþ 2lÞaT is the thermoelastic coupling constant, aT is the coefficient of volume expansion, H is the temperature change over the initial reference temperature T0 of the medium, dij is the Kronecker delta, q is the mass density, K ð>0Þ is a material constant characteristic of the theory, CE is the specific heat at constant strain, I ! is the identity tensor and i; j 1⁄4 x; z: Note that in the above equations, a comma followed by a suffix denotes a spatial derivative, a superposed dot stands for a time-differentiation and an upper arrow represents a vector quantity....
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...In the year 1971, Edelen and Laws [2] developed the thermodynamics of systems with nonlocality....
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...In the present contribution, the propagation of harmonic plane waves in a homogeneous, isotropic nonlocal thermoelastic medium is addressed within the framework of nonlocal (or stress gradient) [1], [4] generalized thermoelasticity theory of type II [29]....
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...Following these pioneer works, Eringen and Edelen [4] formulated nonlocal elasticity in 1972....
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1,649 citations
"Waves in nonlocal thermoelastic sol..." refers background or methods in this paper
...[32] studied the problem of reflection of thermoelastic wave from a thermally insulated and isothermal stress-free boundary of a solid half space in the context of Green-Naghdi model II [29]....
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...The basic governing equations for a linear, homogeneous, isotropic nonlocal thermoelastic solid of type II [29] with zero body force and without considering heat source can be written from Das et al....
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...In the present contribution, the propagation of harmonic plane waves in a homogeneous, isotropic nonlocal thermoelastic medium is addressed within the framework of nonlocal (or stress gradient) [1], [4] generalized thermoelasticity theory of type II [29]....
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...thermoelasticity theory based on the Green and Naghdi theory without energy dissipation [29] that will be used in the sequel....
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...Thermoelastic undamped waves without energy dissipation (Green-Naghdi theory of type II) [29] If the elastic nonlocality is absent from the medium, then the dispersion relation (18) is simplified to c(2)pc 2 Hk 4 k(2)x(2) 1þ eH ð Þc(2)l þ c(2)H þ x(4) 1⁄4 0...
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212 citations
"Waves in nonlocal thermoelastic sol..." refers background in this paper
...In the year 1971, Edelen and Laws [2] developed the thermodynamics of systems with nonlocality....
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