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A spatial decay estimates for a thermoelastic Cosserat body without energy dissipation | ||
| Journal of Computational Applied Mechanics | ||
| دوره 56، شماره 3، مهر 2025، صفحه 611-626 اصل مقاله (1.14 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2025.396902.1506 | ||
| نویسندگان | ||
| Marin Marin* 1، 2؛ M.M. Bhatti3؛ O.M. Hapenciuc1؛ S. Pirlog1 | ||
| 1Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania | ||
| 2Academy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, Romania | ||
| 3Department of Physics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, Republic of Korea | ||
| چکیده | ||
| A cylinder with a prismatic structure is considered and this is "filled" with a thermoelastic material with the Cosserat structure. It is supposed that on the lateral surface of the cylinder there are no body forces, or body couple nor heat supply. But, on the base of cylinder, a microrotation is given, which is time-dependent, a displacement, which is also time-dependent, and a thermal displacement is also prescribed. All these loads are assumed to be harmonic functions in time and from their corroborated action, the movement of the body under consideration is induced. We will define a measure associated with the vibration that corresponds to the steady state. Assuming that there is a certain critical frequency and we can suppose that any excitation frequency is lower than the critical one, we will be able to obtain an estimation regarding the spatial decay. | ||
| کلیدواژهها | ||
| Thermoelastic Cosserat Media؛ Micropolar Vibration Analysis؛ Spatial Attenuation in Continuum Media؛ Non-classical Elasticity Theories؛ Critical Frequency Effects؛ Thermomechanical Wave Propagation؛ Thermoelasticity؛ Cosserat Theory؛ Spatial Decay؛ Microrotation؛ Vibration Analysis | ||
| مراجع | ||
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[12] M. Marin, Lagrange identity method for microstretch thermoelastic materials, Journal of Mathematical Analysis and Applications, Vol. 363, No. 1, pp. 275-286, 2010/03/01/, 2010.
[13] L. Codarcea-Munteanu, M. Marin, Influence of Geometric Equations in Mixed Problem of Porous Micromorphic Bodies with Microtemperature, Mathematics, Vol. 8, No. 8, pp. 1386, 2020.
[14] M. Marin, S. Vlase, I. Fudulu, G. Precup, Effect of Voids and Internal State Variables in Elasticity of Porous Bodies with Dipolar Structure, Mathematics, Vol. 9, No. 21, pp. 2741, 2021.
[15] A. Hobiny, I. Abbas, M. Marin, The Influences of the Hyperbolic Two-Temperatures Theory on Waves Propagation in a Semiconductor Material Containing Spherical Cavity, Mathematics, Vol. 10, No. 1, pp. 121, 2022.
[16] M. Marin, I. M. Fudulu, S. Vlase, On some qualitative results in thermodynamics of Cosserat bodies, Boundary Value Problems, Vol. 2022, No. 1, pp. 69, 2022/09/26, 2022.
[17] M. M. Bhatti, M. Marin, R. Ellahi, I. M. Fudulu, Insight into the dynamics of EMHD hybrid nanofluid (ZnO/CuO-SA) flow through a pipe for geothermal energy applications, Journal of Thermal Analysis and Calorimetry, Vol. 148, No. 24, pp. 14261-14273, 2023/12/01, 2023.
[18] A. K. Yadav, C. Erasmo, M. Marin, M. I. A. and Othman, Reflection of hygrothermal waves in a Nonlocal Theory of coupled thermo-elasticity, Mechanics of Advanced Materials and Structures, Vol. 31, No. 5, pp. 1083-1096, 2024/03/03, 2024.
[19] N. Elboughdiri, J. Khurram, B. M. M., R. S. F., K. S. and Mekheimer, Effects of thermal and momentum slip on magnetized viscoplastic fluids: A study using non-Darcy drag and Rosseland approximation, Separation Science and Technology, Vol. 60, No. 8, pp. 1064-1082, 2025/05/24, 2025.
[20] A. Yusuf, M. M. Bhatti, C. M. Khalique, Computational study of the thermophysical properties of graphene oxide/vacuum residue nanofluids for enhanced oil recovery, Journal of Thermal Analysis and Calorimetry, Vol. 150, No. 1, pp. 771-783, 2025/01/01, 2025. | ||
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آمار تعداد مشاهده مقاله: 19 تعداد دریافت فایل اصل مقاله: 43 |
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