ADVANCEMENTS IN THERMO ELASTIC MODELS: APPLICATIONS IN HOMOGENEOUS AND NON-HOMOGENEOUS ELASTIC MEDIA
DOI:
https://doi.org/10.29121/shodhkosh.v5.i1.2024.4208Keywords:
Thermo Elastic Models, Homogeneous and Non-Homogeneous Elastic MediaAbstract [English]
This paper explores the latest advancements in thermoelastic models with a focus on their applications in both homogeneous and non-homogeneous elastic media. Thermoelasticity, which combines principles of thermodynamics and elasticity, has evolved significantly, enabling the study of complex systems subjected to thermal and mechanical interactions. The study highlights theoretical developments, numerical methods, and experimental validations, providing insights into their relevance across various engineering and scientific disciplines. Thermoelastic models have been widely used to study the behavior of elastic media under thermal and mechanical loads. Recent advancements in these models have enabled the simulation of complex phenomena in homogeneous and non-homogeneous elastic media. This paper provides a comprehensive review of the latest developments in thermoelastic models and their applications in various fields. We discuss the theoretical foundations of thermoelasticity, the development of new constitutive models, and the application of these models to simulate the behavior of homogeneous and non-homogeneous elastic media.
References
Biot, M. A. "Thermoelasticity and irreversible thermodynamics." Journal of Applied Physics, 1956. DOI: https://doi.org/10.1063/1.1722351
Lord, H. W., and Y. Shulman. "A generalized dynamical theory of thermoelasticity." Journal of the Mechanics and Physics of Solids, 1967. DOI: https://doi.org/10.1016/0022-5096(67)90024-5
Green, A. E., and K. A. Lindsay. "Thermoelasticity." Journal of Elasticity, 1972. DOI: https://doi.org/10.1007/BF00045689
Chakraborty, A., and S. Chakraborty. "Thermoelastic analysis of FGMs." Mechanics of Advanced Materials and Structures, 2020.
Zienkiewicz, O. C., and R. L. Taylor. The Finite Element Method for Solid and Structural Mechanics, 7th Edition, 2013.
Peng W., Ma Y., & He T. (2021). Transient thermoelastic response of a size-dependent nanobeam under the fractional order thermoelasticity. Journal of Applied Mathematics and Mechanics, 2021. DOI: https://doi.org/10.1002/zamm.202000379
Zhang P., & Qing H. (2021). Thermoelastic analysis of nanobar based on nonlocal integral elasticity and nonlocal integral heat conduction. Journal of Thermal Stresses, 44, 1244–1261 DOI: https://doi.org/10.1080/01495739.2021.1967240
Yahya A.M.H., Abouelregal A.E., Khalil K.M., & Atta D. (2021). Thermoelastic responses in rotating nanobeams with variable physical properties due to periodic pulse heating. Case Studies in Thermal Engineering, 28, 101443. DOI: https://doi.org/10.1016/j.csite.2021.101443
Limkatanyu S., Sae-Long W., Mohammad-Sedighi H., Rungamornrat J., Sukontasukkul P., Prachasaree W., et al. (2022). Strain-gradient bar-elastic substrate model with surface-energy effect: virtual-force approach. Nanomaterials, 12, 375. DOI: https://doi.org/10.3390/nano12030375
Tiwari R., Kumar R., & Abouelregal A.E. (2022). Thermoelastic vibrations of nano-beam with varying axial load and ramp type heating under the purview of Moore–Gibson– Thompson generalized theory of thermoelasticity. Applied Physics A, 128, 160. DOI: https://doi.org/10.1007/s00339-022-05287-5
Ahmad H., Abouelregal A.E., Benhamed M., Alotaibi M.F., & Jendoubi A. (2022). Vibration analysis of nanobeams subjected to gradient-type heating due to a static magnetic field under the theory of nonlocal elasticity. Scientific Reports, 12, 1894. DOI: https://doi.org/10.1038/s41598-022-05934-0
Mukhopadhyay S., Kothari S., & Kumar R. (2014). Dual phase-lag thermoelasticity. In Hetnarski R.B. (Ed.), Encyclopedia of Thermal Stresses (pp. 1003–1019). Dordrecht: Springer. DOI: https://doi.org/10.1007/978-94-007-2739-7_706
Zenkour A.M. (2019). Magneto-thermal shock for a fiber-reinforced anisotropic half-space studied with a refined multi-dual-phase-lag model. Journal of Physics and Chemistry of Solids, 137, 109213. DOI: https://doi.org/10.1016/j.jpcs.2019.109213
Zenkour A.M., & El-Mekawy H.F. (2020). On a multi-phase-lag model of coupled thermoelasticity. International Communications in Heat and Mass Transfer, 116, 104722. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2020.104722
Lata P., Kaur I., & Singh K. (2021). Transversely isotropic Euler Bernoulli thermoelastic nanobeam with laser pulse and with modified three-phase lag Green–Nagdhi heat transfer. Steel and Composite Structures, 40, 829–838.
Kaur I., & Singh K. (2021). Effect of memory dependent derivative and variable thermal conductivity in cantilever nano-beam with forced transverse vibrations. Forces in Mechanics, 5, 100043. DOI: https://doi.org/10.1016/j.finmec.2021.100043
Kaur I., Singh K., & Ghita G.M.D. (2021). New analytical method for dynamic response of thermoelastic damping in simply supported generalized piezothermoelastic nanobeam. Journal of Applied Mathematics and Mechanics, 2021. DOI: https://doi.org/10.1002/zamm.202100108
Kaur I., Lata P., & Singh K. (2021). Effect of laser pulse in modified TPL GN-thermoelastic transversely isotropic Euler–Bernoulli nanobeam. In Marriwala N., Tripathi C.C., Jain S., & Mathapathi S. (Eds.), Soft Computing for Intelligent Systems DOI: https://doi.org/10.1007/978-981-16-1048-6_6
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Copyright (c) 2024 Ritesh Yadav, Dr. Bharti Kumari

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