Thermoelastic Models Of Continua
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Cites background from "Thermoelastic Models Of Continua"
...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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...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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...Iesan [46] further extended his earlier theory to include viscoelastic effect and presented constitutive relations and equations for linear theory of thermoviscoelastic material with voids....
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...Following Iesan [37] and Challamel et al. [16], the nonlocal generalization of Cattaneo type heat conduction law for thermoelastic material with voids is postulated as 1 e2r2ð Þ qþ s0 _qð Þ ¼ 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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...A large number of important research works based on Iesan’s model of thermoelasticity with voids have been done by many researchers....
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32 citations
Cites background from "Thermoelastic Models Of Continua"
...Natural phenomena, which are described by power law distributions apparently include the intensities of earthquake, size of power outages (Clauset, Shalizi, and Newman 2009)....
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...Iesan (1986, 2004, 2011) studied the problem of linear theory of thermoelastic materials with voids and proved the uniqueness, reciprocal and variational theorems....
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...Natural phenomena, which are described by power law distributions apparently include the intensities of earthquake, size of power outages (Clauset, Shalizi, and Newman 2009). Other engineering applications are in Biology, Physics, and Social Sciences. The huge appearance of power-law distributions in several real-life problems is one powerful reason to modify the laws of fractional calculus in several engineering fields. Recently, Sur et al. (2019a) have studied the thermoelastic interaction in a fiber-reinforced hollow cylinder due to thermal shock....
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...Iesan (1986, 2004, 2011) proposed the field equations and the constitutive equations for generalized thermoelastic solid with voids as rij ¼ 2lij þ ½kekk þ bU bh dij; (9) hi ¼ aU;i; (10) g ¼ bekk nUþmh; (11) qT0g ¼ qcEhþ bekk þmU: (12) The energy equation for the linear theory of thermoelastic…...
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30 citations
Cites background from "Thermoelastic Models Of Continua"
...An account of the historical developments of the theory of porous media as well as references to various contributions may be found in the books by de Boer [49] and Ieşan [50]....
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...It is possible to investigate the basic BVPs in the linear theory of thermoelasticity for Kelvin–Voigt materials with voids (see, Ieşan [31]) by using potential method and the theory of singular integral equations....
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...An account of the historical developments of the theory of porous media as well as references to various contributions may be found in the books by de Boer [49] and Ieşan [50]....
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...In the absence of the body force and the extrinsic equilibrated body force, the system of homogeneous equations of motion in the linear theory of viscoelasticity for Kelvin–Voigt materials with voids has the following form (see, Ieşan [31]) μ u′ + (λ + μ)grad div u′ + b gradϕ′ − ρü′ + μ∗ u̇′ + (λ∗ + μ∗)grad div u̇′ + b∗ grad ϕ̇′ = 0, (2.1) (α − ξ)ϕ′ − b div u′ − ρ0ϕ̈′ + ( α∗ − ξ ∗)ϕ̇′ − ν∗ div u̇′ = 0, where u′ = (u′1, u′2, u′3) is the displacement vector, ϕ′ is the volume fraction field, ρ is the reference mass density (ρ > 0), ρ0 = ρκ, κ is the equilibrated inertia (κ > 0); λ,μ,b,α, ξ , λ∗,μ∗, b∗, α∗, ν∗, ξ ∗ are the constitutive coefficients, and a superposed dot denotes differentiation with respect to t : u̇′ = ∂u′ ∂t , ü′ = ∂2u′ ∂t2 ....
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...Ieşan and Nappa [28] introduced a nonlinear theory of heat conducting mixtures where the individual components are modelled as Kelvin–Voigt viscoelastic materials....
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26 citations
References
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