Effect of two temperature and nonlocality in an isotropic thermoelastic thick circular plate without energy dissipation

Singh, Sukhveer; Lata, Parveen

doi:10.1016/j.padiff.2023.100512

Cited by 12 publications

(3 citation statements)

References 31 publications

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“…Challamel et al [31] presented a nonlocal generalization of Fourier's law of heat conduction and applied it to thermal conduction in one-dimensional and two-dimensional thermal lattices. Some of the important research works in the field of nonlocal thermoelasticity are done by Abouelregal and Zenkour [32,33], Sarkar and Tomar [34], Zenkour and Abouelregal [35], Lata and Singh [36,37], Singh and Lata [38], and Kalkal et al [39].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Barak,

Poonia,

Devi

et al. 2024

Z Angew Math Mech

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The aim of the present work is to examine the thermally induced disturbances in a transversely isotropic nonlocal exponentially graded (nonhomogeneous) thermoelastic half‐space with voids within the framework of dual‐phase‐lag (DPL) theory. It is supposed that the material's properties are graded in z‐direction. By employing normal mode technique, the exact expressions of the temperature field, the change in volume fraction field, displacement and stress components are obtained. The obtained results are computed numerically for a magnesium crystal‐like material and depicted graphically to display the effects of material's anisotropy, non‐homogeneity parameter, generalized theories, nonlocal parameter, void parameter and time on the variations of different physical fields. Certain limiting cases of interest have been deduced from the present investigation.

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Section: Introductionmentioning

confidence: 99%

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Barak,

Poonia,

Devi

et al. 2024

Z Angew Math Mech

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“…Motaei et al (Motaei et al, 2023) investigated the inclusion of temperature-dependent properties in photothermal and mechanical interactions in cancer tissue. Scholars have developed analytical and numerical solutions for linear/nonlinear heat transfer theories that have been expanded in the investigation of heating transfer in finite medium (Abbas and Kumar, 2016;Ghazanfarian et al, 2015;Khan et al, 2019;Kumar and Sharma, 2017;Lata, 2019;Lata and Himanshi, 2021;Lata andKaur, 2019, 2022;Lata et al, 2020;Lataa and Kaur, 2020;Li et al, 2014;Marin, 2010;Marin et al, 2022;Mondal and Sur, 2024;Mondal et al, 2021;Othman et al, 2020;Selvi et al, 2018;Singh and Lata, 2023;Sur, 2023;Sur et al, 2020;Vlase et al, 2018;Zenkour and Abbas, 2014).…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis of thermomechanical responses in biological tissues under varying thermal conductivity

Abbas,

El-Bary

2024

Preprint

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This work offers numerical solutions within the framework of bio-thermoelastic model, addressing the bioheat transfer in living tissues due to laser irradiations, considering varying thermal conductivity. To carry out thermal treatment procedures efficiently, it is crucial to have a comprehensive understanding of both the thermal transmissions mechanism and the subsequent mechanical and thermal interactions within the living tissues of the patient. Evaluating thermal injurie to the tissue requires assessing the extent of denatured proteins, employing the Arrhenius relation. Given the nonlinearity of the fundamental formulations, the finite element technique is employed to address and solve this problem. Graphical depictions of the numerical result portray the change in temperature, displacement, stress, and thermal damages in response to variations in thermal conductivity and thermal relaxation time. The findings obtained using the finite element approach are additionally compared with data from a pre-existing experimental data, confirming the numerical calculation accuracy through cross-referencing.

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“…It includes the problem of thermo-mechanical coupling. Regarding the heat transfer between objects, Singh et al [26] investigated the effects of two temperatures on the displacements and stresses and for the two-dimensional thick plate axis without energy dissipation. Youssef et al [27] established a new thermomechanical theory and proved the uniqueness theorem of two-temperature dissipation without energy.…”

Section: Introductionmentioning

confidence: 99%

A Thermomechanical Model for Time-Varying Deformations of Spigot Interference Connection under Shrink-Fitting Assembly

Zhu,

Yuan,

Mao

et al. 2023

Machines

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The interference fit connection structure is widely employed in various industries. Different from the conventional connection structure, the aero-engine rotor connection has a spigot-bolt structure. The quality of the shrink-fitting assembly process directly affects the final assembly performance of the rotor. The complexity of the connection structure and the time-varying thermal deformation bring great challenges in analyzing the formation patterns of connection performance. However, existing methods of interference connection analysis are mainly used in the wide range of interference connection structures, which makes them difficult to apply in low height interference connection for aero-engine rotors. This paper introduces a thermomechanical interference fit pressure model. First, a theoretical model for interference fit pressure considering temperature-variable loads is established to obtain the time-varying pressure during the assembly process. Second, a finite element model is established to explore the influence of interference and temperature loads on the spigot pressure and the mounting edge deformation. Finally, the experiments validate the accuracy of both the theoretical model and the finite element analysis. The results indicate that during the shrink-fitting assembly process, the interference fit pressure exhibits a nonlinear evolution trend, and the warping deformation of the mounting edge is a result of the combined influence of temperature and interference fit pressure. The law found in this paper has an application prospect in the process parameter setting of shrink-fitting assembly for special structures.

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Effect of two temperature and nonlocality in an isotropic thermoelastic thick circular plate without energy dissipation

Cited by 12 publications

References 31 publications

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Finite element analysis of thermomechanical responses in biological tissues under varying thermal conductivity

A Thermomechanical Model for Time-Varying Deformations of Spigot Interference Connection under Shrink-Fitting Assembly

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