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Fractional magneto-thermoelastic materials with phase-lag Green-Naghdi theories
M.A. Ezzat,A.A. El-Bary 국제구조공학회 2017 Steel and Composite Structures, An International J Vol.24 No.3
A unified mathematical model of phase-lag Green-Naghdi magneto-thermoelasticty theories based on fractional derivative heat transfer for perfectly conducting media in the presence of a constant magnetic field is given. The GN theories as well as the theories of coupled and of generalized magneto-thermoelasticity with thermal relaxation follow as limit cases. The resulting nondimensional coupled equations together with the Laplace transforms techniques are applied to a half space, which is assumed to be traction free and subjected to a thermal shock that is a function of time. The inverse transforms are obtained by using a numerical method based on Fourier expansion techniques. The predictions of the theory are discussed and compared with those for the generalized theory of magneto-thermoelasticity with one relaxation time. The effects of Alfven velocity and the fractional order parameter on copper-like material are discussed in different types of GN theories.
Distributed loads in modified couple stress thermoelastic diffusion with non-local and phase-lags
Kumar, Rajneesh,Kaushal, Sachin,Dahiya, Vikram Techno-Press 2021 Coupled systems mechanics Vol.10 No.5
Thermomechanical loading is considered to examine the non-local and phase-lags effects in a modified couple stress thermoelastic (MCT) half space. Governing equations are solved by using Laplace and Fourier transform techniques. Concentrated source in time and distributed sources with space variable are taken to demonstrate the application. Distributed sources are further classified as uniformly distributed source (UDS) and linearly distributed source (LDS) for mechanical, thermal and chemical potential sources. Numerical results are calculated for displacements, stresses, temperature distribution and chemical potential and are disucussed by displaying graphically. Some particular cases are deduced.
Cengiz Tatar,Sefa Kazanc 한국물리학회 2012 Current Applied Physics Vol.12 No.1
Thermoelastic phase transformations and thermodynamic properties of CuAlNi alloys at 0, 1, 2 and 3 GPa pressures were investigated by using MD simulation in this study. The interactions between atoms were modelled by SuttoneChen type of embedded atom method (SCEAM) that is based on many-body interaction. It was observed that thermoelastic phase transformation in the ternary alloy system occurred at the end of thermal process. Radial distribution function (RDF) was used in order to analysis the structures obtained from MD simulation using the simulation techniques’ thermodynamic parameters. The transformation temperatures, enthalpy and entropy of the ternary alloy system have been observed to be changing with the applied pressure. In addition, it was found that the elastic energy has been decreased about 22% by applied pressure whereas Gibbs free energy has been increased about 60% by applied pressure. The values of the thermodynamical parameters obtained in this study were observed to be in close agreement with the experimental study. Thermoelastic phase transformations and thermodynamic properties of CuAlNi alloys at 0, 1, 2 and 3 GPa pressures were investigated by using MD simulation in this study. The interactions between atoms were modelled by SuttoneChen type of embedded atom method (SCEAM) that is based on many-body interaction. It was observed that thermoelastic phase transformation in the ternary alloy system occurred at the end of thermal process. Radial distribution function (RDF) was used in order to analysis the structures obtained from MD simulation using the simulation techniques’ thermodynamic parameters. The transformation temperatures, enthalpy and entropy of the ternary alloy system have been observed to be changing with the applied pressure. In addition, it was found that the elastic energy has been decreased about 22% by applied pressure whereas Gibbs free energy has been increased about 60% by applied pressure. The values of the thermodynamical parameters obtained in this study were observed to be in close agreement with the experimental study.
Transversely isotropic thin circular plate with multi-dual-phase lag heat transfer
Parveen Lata,Iqbal Kaur,Kulvinder Singh 국제구조공학회 2020 Steel and Composite Structures, An International J Vol.35 No.3
The present research deals with the multi-dual-phase-lags thermoelasticity theory for thermoelastic behavior of transversely isotropic thermoelastic thin circular plate The Laplace and Hankel transform techniques have been used to find the solution of the problem. The displacement components, stress components, and conductive temperature distribution are computed in the transformed domain with the radial distance and further determined in the physical domain using numerical inversion techniques. The effect of rotation and two temperature are depicted graphically on the resulting quantities.