2019
DOI: 10.1007/s10973-019-08652-4
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Nonlinear coupled thermoelastic analysis of thermal wave propagation in a functionally graded finite solid undergoing finite strain

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Cited by 25 publications
(10 citation statements)
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“…The discretization of time space into small time periods is the principal feature of this process. In the present equations, time is expressed in the form of time step and n is the number of time increment [37]. Applying the second-order Taylor's expansion of Runge-Kutta, one may represent the nodal acceleration and speed vectors of the end of each time step in terms of the nodal unknown terms of the same time instant as [38][39][40]:…”
Section: Methods Of Solutionmentioning
confidence: 99%
“…The discretization of time space into small time periods is the principal feature of this process. In the present equations, time is expressed in the form of time step and n is the number of time increment [37]. Applying the second-order Taylor's expansion of Runge-Kutta, one may represent the nodal acceleration and speed vectors of the end of each time step in terms of the nodal unknown terms of the same time instant as [38][39][40]:…”
Section: Methods Of Solutionmentioning
confidence: 99%
“…Also ρ, C, k, θ are density, specific thermal capacity, thermal conductivity and temperature. 34,35 The PCMs used in the test were mixed, therefore, there is not an accurate melting temperature; however, their melting point is fluctuated in the range of the substance melted. It is not possible to estimate and understand where and how much of the PCM is melting in the layer.…”
Section: Materials Used In In Intelligent Textile Coatingsmentioning
confidence: 99%
“…The FE equations of a generalized thermoelasticity problem are conveniently derived by a standard process. In this technique, the temperature q and the displacement component w are associated with the corresponding nodal values [35,36]: where n is related to the number of nodes in an element and Y j ˆare introduced as the shape functions. Based on the standard Galerkin's process, the shape functions and weighting functions are expressed as:…”
Section: The Governing Equationsmentioning
confidence: 99%
“…To validate the model, the simulations results for an elastic medium are compared with the results presented in [35,45]. Table 1 presents the material properties considered for these cases.…”
Section: Model Validationmentioning
confidence: 99%