Parveen Lata

This study investigates the deformation of a nonlocal thermoelastic diffusive plate subjected to a ring load in frequency domain. Variations of displacement, stresses, temperature change and mass concentration are analysed along the radial distance for different values of the nonlocal parameter and angular frequency. The results indicate that the classical (local) model predicts higher mechanical responses, while nonlocal effects significantly stabilise variations in the magnitude of oscillating of various field quantities. We have used time harmonic sources and Hankel transform technique to solve the problem. Further numerical inversion techniques are applied to find solution in physical domain. Also the variations are depicted graphically. Findings demonstrate that nonlocal thermoelastic diffusion theory is essential for accurately modeling size-dependent behavior in advanced materials, especially at micro and nano-scales.

This study is about the disturbances due to normal ramp-type heat in a two-dimensional homogeneous isotropic nonlocal thermoelastic solid with two temperatures in the generalized theory of thermoelasticity. Laplace and Fourier transforms have been used to solve the problem. The analytical expressions of stress components, displacement components, and temperature change have been obtained in the transformed domain and numerical inversion technique has been applied to obtain the results in the physical domain. Numerical-simulated results are depicted graphically to show the effect of two temperatures and nonlocal parameter on the components of displacements, stresses, and conductive temperature. Some special cases have also been deduced from the present investigation.

The article is concerned with the study of combined effect of Hall current and nonlocality in a homogeneous isotropic magneto-thermoelastic rotating medium with fractional order heat transfer due to normal load. The problem is discussed with the context of fractional order heat transfer under the effect of a uniformly distributed force. The model has been assumed to be two-dimensional. Laplace and Fourier transforms have been used to find the solution in transformed domain. The analytical expressions of displacement components, stress components, conductive temperature and current density components are obtained in the transformed domain. Numerical inversion technique is used for getting the results in the physical domain. Numerical simulated results have been depicted graphically to show the effect of nonlocal parameter, Hall parameter and fractional parameter on the components of displacements, stresses, current density and conductive temperature. Some particular cases have also been discussed.

The current research deals with the analysis of reflection and refraction of plane wave at the imperfect boundary of two dissimilar transversely isotropic piezo-thermoelastic (PT) solid half-spaces with diffusion and two temperature. The formulation is applied in a 2-D model under the purview of three-phase lag (TPL) memory dependent derivative (MDD) heat transfer and TPL MDD diffusion. For the incident QL or QTS wave, there exist four coupled quasi reflected waves: RQL (reflected quasi-longitudinal), RQMD (reflected quasi-mass diffusion), RQT (reflected quasi thermal) and RQTS (reflected quasi-transverse) and four transmitted waves: TQL (transmitted quasi-longitudinal), TQMD (transmitted quasi-mass diffusion), TQT (transmitted quasi thermal) and TQTS (transmitted quasi-transverse) waves propagating with different speeds in two solid half-spaces. The expressions for the amplitude ratios and energy ratios are calculated for the reflected and refracted waves. Calculations for normal force stiffness, transverse force stiffness, thermal contact conductance and welded boundaries are also done as particular cases. Some special cases are also discussed. MATLAB software is used for the numerical and graphical analysis and to show the effect of two-temperature on the amplitude ratios of different reflected and refracted waves for incident QL and QTS waves.

The objective of this paper is to study plane wave propagation in a homogeneous isotropic nonlocal magneto-thermoelastic medium under the effect of Hall current applied to multi-dual-phase lag heat transfer. For a 2-D assumed model, three types of coupled longitudinal waves (quasi-longitudinal, quasi-transverse and quasi-thermal) exist. The wave characteristics, such as phase velocity, specific loss, attenuation coefficients, energy ratios, penetration depth and amplitude ratios of transmitted and reflected waves, are computed numerically and depicted graphically. The energy ratios have been calculated by taking the ratio of the share of energy in the different scattered waves to the incident wave. The impact of nonlocal parameter and Hall current parameter has been represented graphically by taking different values. Some particular cases have also been discussed.