An approximate method to estimate thermal expansion in solid materials
DOI:
https://doi.org/10.22481/intermaths.v6i1.16934Resumo
We study an approximate method to estimate linear, surface and volumetric thermal expansion in solid materials. For the development of this method, we rely on the theorem of the real numerical value (TRNV), where the linear, surface and volumetric measurements are interpreted as a derivable function in a real variable. Finally, we compare the numerical stability of the approximate method with respect to the common thermal expansion models.
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Ries, L. K., Padilha, J. B. ., Bortoluzzi, A. P. ., & Zeitune, A. F. . (2023). “Aplicações da Matemática na Engenharia: obtenção da equação de efciência de motores elétricos utilizando o método dos mínimos quadrados”. Intermaths, 4(1), 67-77. https://doi.org/10.22481/intermaths.v4i1.12102
Hsieh, C. L., & Tuan, W. H. (2007). “Thermal expansion behavior of a model ceramic–metal composite”. Materials Science & Engineering, 460(461), 453–458. https://doi.org/10.1016/j.msea.2007.01.109
Lenain, G. E., McKinstry, H. A., Alamo, J., & Agrawal, D. K. (1987). “Structural model for thermal expansion in MZr2P3O12 (M=Li, Na, K, Rb, Cs)”. Journal of Materials Science, 22(1), 17–22. https://doi.org/10.1007/bf01160546
Jinghui, D., Zhen, W., Tangzhen, W., & Xiaohui, R. (2024). “Thermal expansion behaviors of sandwich structures reinforced by carbon nanotubes using an improved higher-order model”. Arch Appl Mech, 94(4), 1099–1119. https://doi.org/10.1007/s00419-024-02569-7
Dugdale, J. S., & MacDonald, C. (1953). “The Thermal Expansion of Solids”. Physical Review, 89(4), 832–834. https://doi.org/10.1103/physrev.89.832
Novikova, S. I. (1974). Thermal expansion of solids. Moscow Izdatel Nauka. https://ui.adsabs.harvard.edu/abs/1974MoIzN.........N/abstract
Young, H. D, & Freedman, R.A. University Physics Volumen 1 (Pearson Educación, 2009), pp. 576-578.
Martínez Costa., B. S. (2018). “Teorema del valor numérico real de un polinomio en función a las derivadas de orden superior”. MATUA, pp. 29-35 5(1). Available in: https://revistas.uniatlantico.edu.co/index.php/MATUA/article/view/2020.
Thompson, D. (1996). “A simple model of thermal expansion”. European Journal of Physics, 17(2), 85. https://doi.org/10.1088/0143-0807/17/2/009
Martínez Costa., B. S., (2019). Teorema del Valor Numérico Real: introducción y aplicaciones básicas. Editorial Académica Española, pp. 25-37, ISBN-10 6139466164.
Miller, W., Smith, C. W., Mackenzie, D. S., & Evans, K. E. (2009). “Negative thermal expansion: a review. Journal of Materials Science”, 44(20), 5441–5451. ttps://doi.org/10.1007/s10853-009-3692-4
Barrera, G. D., Bruno, J. A. O., Barron, T. H. K., & Allan, N. L. (2005). “Negative thermal expansion”. Journal of Physics: Condensed Matter, 17(4), R217–R252. https://doi.org/10.1088/0953-8984/17/4/r03
D.R. Jackett, T.J. McDougall, M.H. England, A.C. (2000). “Thermal expansion in ocean and coupled general circulation models”. Journal of Climate 13, 1384–1405. https://doi.org/10.1175/1520-0442(2000)013<1384:TEIOAC>2.0.CO;2
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