1991
DOI: 10.1016/0029-5493(91)90083-t
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Transient thermal stresses in a hollow cylinder subjected to γ-ray heating and convective heat losses

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Cited by 11 publications
(5 citation statements)
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“…It is worth noting that internal heat generation frequently occurs in the field on nuclear engineering. The absorption of c-rays from the nuclear reactor core is the main reason for such internal energy [37][38][39]. Therefore, a substantial number of publications have been recently published to overcome mathematical challenges in pure conduction systems with internal heat generations [40][41][42][43].…”
Section: Problem Statementmentioning
confidence: 99%
“…It is worth noting that internal heat generation frequently occurs in the field on nuclear engineering. The absorption of c-rays from the nuclear reactor core is the main reason for such internal energy [37][38][39]. Therefore, a substantial number of publications have been recently published to overcome mathematical challenges in pure conduction systems with internal heat generations [40][41][42][43].…”
Section: Problem Statementmentioning
confidence: 99%
“…The absorption coefficient, the Biot number, and the splicing radius were all considered during the research. Goshima and Miyao [111] researched the thermal strains that occur in a hollow cylinder when subjected to x-ray radiation and the heat loss owing to convection. Their study focused on the conditions that occur during temperature transitions.…”
Section: Analysis Of a Cylinder That Is Hollowmentioning
confidence: 99%
“…Jabbari et al (2007) suggested a general theoretical analysis of three-dimensional mechanical and thermal stresses for a short hollow FGM cylinder by the generalized Bessel function and Fourier series. Goshima and Miyao (1991) analytically solved a long hollow circular cylinder subjected to transient internal heat generation due to x-ray radiation, while there is convection on its inner and outer surfaces. For this purpose, they used Laplace transform and Green's function.…”
Section: Introductionmentioning
confidence: 99%
“…Most of the literatures have performed the analytical solution of some simple geometries made of FGM, considering simplified assumptions, such as employing Hankel transform (Goshima & Miyao, 1991) or Laplace transform (Sutradhar et al, 2001). In this work, a thick-hollow FGM cylinder subjected to both internal and external pressures and also under thermal loads is solved.…”
Section: Introductionmentioning
confidence: 99%