Transversely isotropic Euler Bernoulli thermoelastic nanobeam with laser pulse and with modified three phase lag Green Nagdhi heat transfer

Parveen Lata,Iqbal Kaur,Kulvinder Singh 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.40 No.6

This investigation aims to examine the vibration phenomenon in 2D transversely isotropic homogeneous Euler-Bernoulli nonlocal nanobeam with laser pulse with new modified three-phase lag Green Naghdi (TPL GN) model. The model contains a material length scale parameter that can capture the size effect, using the nonlocal theory of thermoelasticity. Temperature is assumed to vary sinusoidally. Laplace Transforms are used to derive the non-dimensional expressions for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment in the transformed domain, and numerical inversion techniques are used to find the expressions in the physical domain. The ends of the nanobeam are considered to be simply supported and have a constant temperature. Effect of new modified TPL GN heat transfer and nonlocal parameter is represented graphically for lateral deflection, axial displacement, temperature distribution, axial stress, and thermal moment using the MATLAB software. Few specific cases are also derived.

Time Harmonic interactions in the axisymmetric behaviour of transversely isotropic thermoelastic solid using New M-CST

Lata, Parveen,Kaur, Harpreet Techno-Press 2020 Coupled systems mechanics Vol.9 No.6

The present study is concerned with the thermoelastic interactions in a two dimensional homogeneous, transversely isotropic thermoelastic solid with new modified couple stress theory without energy dissipation and with two temperatures in frequency domain. The time harmonic sources and Hankel transform technique have been employed to find the general solution to the field equations.Concentrated normal force, normal force over the circular region, thermal point source and thermal source over the circular region have been taken to illustrate the application of the approach. The components of displacements, stress, couple stress and conductive temperature distribution are obtained in the transformed domain. The resulting quantities are obtained in the physical domain by using numerical inversion technique. Numerically simulated results are depicted graphically to show the effect of angular frequency on the resulted quantities.

Fractional effect in an orthotropic magneto-thermoelastic rotating solid of type GN-II due to normal force

Parveen Lata,Himanshi 국제구조공학회 2022 Structural Engineering and Mechanics, An Int'l Jou Vol.81 No.4

In this article, we have examined the effect of fractional order parameter in a two-dimensional orthotropic magnetothermoelastic solid in generalized thermoelasticity without energy dissipation with fractional order heat transfer in the context of hall current, rotation and two-temperature due to normal force. Laplace and Fourier transform techniques are used to obtain the solution of the problem. The expressions for displacement components, stress components, current density components and conductive temperature are obtained in transformed domain and then in physical domain by using numerical inversion method. The effect of fractional parameter on all the components has been depicted through graphs. Some special cases are also discussed in the present investigation.

Effect of rotation on Stoneley waves in orthotropic magneto-thermoelastic media

Parveen Lata,Himanshi 한국풍공학회 2022 Wind and Structures, An International Journal (WAS Vol.35 No.6

The present research is concerned with the study of Stoneley wave propagation at the interface of two dissimilar homogeneous orthotropic magneto-thermoelastic solids with fractional order theory of type GN-III with three phase-lags and combined effect of hall current and rotation. With the help of appropriate boundary conditions the secular equations of Stoneley waves are obtained in the form of determinant. The characteristics of wave such as phase velocity, attenuation coefficient and specific loss are computed numerically. The effect of rotation on the Stoneley wave’s phase velocity, attenuation coefficient, specific loss, displacement components, stress components and temperature change has been depicted graphically. Some particular cases are also derived in this problem.

Deformation in a homogeneous isotropic thermoelastic solid with multi-dual-phase-lag heat & two temperature using modified couple stress theory

Lata, Parveen,Kaur, Harpreet Techno-Press 2021 Composite materials and engineering Vol.3 No.2

The objective of this paper is to study the deformation in a homogeneous isotropic thermoelastic solid using modified couple stress theory subjected to inclined load with two temperatures with multi-dual-phase-lag heat transfer. Uniformly distributed and linearly distributed forces have been applied to find the functionality of the problem. Laplace and Fourier transform technique is applied to obtain the solutions of the governing equations. The displacement components, conductive temperature, stress components and couple stress are obtained in the transformed domain. A numerical inversion technique has been used to obtain the solutions in the physical domain. The effect of two temperature and inclined load is depicted graphically on the resulted quantities.

Orthotropic magneto-thermoelastic solid with higher order dual-phase-lag model in frequency domain

Parveen Lata,Himanshi 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.77 No.3

Here, in this research we have studied a two dimensional problem in a homogeneous orthotropic magnetothermoelastic medium with higher order dual-phase-lag heat transfer with combined effects of rotation and hall current in generalized thermoelasticity due to time harmonic sources. As an application the bounding surface is subjected to uniformly distributed and concentrated loads (mechanical and thermal source). Fourier transform technique is used to solve the problem. The expressions for displacement components, stress components and temperature change are derived in frequency domain. Numerical inversion technique has been used to obtain the results in physical domain. The effect of frequency has been depicted with the help of graphs.

Thermomechanical interactions in a non local thermoelastic model with two temperature and memory dependent derivatives

Lata, Parveen,Singh, Sukhveer Techno-Press 2020 Coupled systems mechanics Vol.9 No.5

The present investigation is concerned with two-dimensional deformation in a homogeneous isotropic non local thermoelastic solid with two temperatures due to thermomechanical sources. The theory of memory dependent derivatives has been used for the study. The bounding surface is subjected to concentrated and distributed sources (mechanical and thermal sources). The Laplace and Fourier transforms have been used for obtaining the solution to the problem in the transformed domain. The analytical expressions for displacement components, stress components and conductive temperature are obtained in the transformed domain. For obtaining the results in the physical domain, numerical inversion technique has been applied. Numerical simulated results have been depicted graphically for explaining the effects of nonlocal parameter on the components of displacements, stresses and conductive temperature. Some special cases have also been deduced from the present study. The results obtained in the investigation should be useful for new material designers, researchers and physicists working in the field of nonlocal material sciences.

Time harmonic interactions in non local thermoelastic solid with two temperatures

Parveen Lata,Sukhveer Singh 국제구조공학회 2020 Structural Engineering and Mechanics, An Int'l Jou Vol.74 No.3

The present investigation is concerned with two dimensional deformation in a non local thermoelastic solid with two temperatures due to time harmonic sources. The nonlocal thermoelastic solid is homogeneous with the effect of two temperature parameters. Fourier transforms are used to solve the problem. The bounding surface is subjected to concentrated and distributed sources. The analytical expressions of displacement, stress components and conductive temperature are obtained in the transformed domain. 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 nonlocal parameter and frequency on the components of displacements, stresses and conductive temperature. Some special cases are also deduced from the present investigation.

Thermomechanical interactions in transversely isotropic thick circular plate with axisymmetric heat supply

Parveen Lata,Iqbal Kaur 국제구조공학회 2019 Structural Engineering and Mechanics, An Int'l Jou Vol.69 No.6

The present investigation has focus on the study of deformation due to thermomechanical sources in a thick circular plate. The thick circular plate is homogeneous, transversely isotropic with two temperatures and without energy dissipation. The upper and lower surfaces of the thick circular plate are traction free. The Laplace and Hankel transform has been used for finding the general solution to the field equations. The analytical expressions of stresses, conductive temperature and displacement components are computed in the transformed domain. However, the resulting quantities are obtained in the physical domain by using numerical inversion technique. Numerically simulated results are illustrated graphically. The effects of two temperatures by considering different values of temperature parameters are shown on the various components. Some particular cases are also figured out from the present investigation.

Interactions in transversely isotropic new modified couple stress solid due to Hall current, rotation, inclined load with energy dissipation

Parveen Lata,Harpreet Kaur Techno-Press 2024 Coupled systems mechanics Vol.13 No.1

This paper is concerned with the disturbances in a transversely isotropic new modified couple stress homogeneous thermoelastic rotating medium under the combined influence of Hall currents, magnetic fields, and mechanical sources represented by inclined loads. The application of Laplace and Fourier transform techniques are used for the derivation of analytical expressions for various physical quantities. As an application,the bounding surface is subjected to uniformly and linearly distributed force (mechanical force). Present model contains length scale parameters that can capture the size effects. Numerical inversion techniques has been used to provide insights into the system's behavior in the physical domain. The graphical representation of numerical simulated results has been presented to emphasize the impact of rotation and inclined line loads on the system, enhancing our understanding of the studied phenomena. Further research can extend this study to investigate additional complexities and real-world applications.