均匀内热薄板的分数阶热弹性问题

Q4 Physics and Astronomy JP Journal of Heat and Mass Transfer Pub Date : 2023-09-15 DOI:10.17654/0973576323045

Narsing B. Jadhav

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引用次数: 0

摘要

利用积分变换方法研究了薄板内热弹性应力的产生和温度分布。板内初始温度分布沿$z$ -轴呈抛物线分布，绝缘位于$z=0$和$z=h$。圆板表面$r=a$在不同温度下进行热换热，然后与温度为$T_{\infty}$、对流系数为$h_c$的流体进行对流。利用积分变换法推导了热应力、位移和温度的解析解，并利用PTC Mathcad软件实现。收稿日期:2023年6月16日修稿日期:2023年8月8日收稿日期:2023年8月14日

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FRACTIONAL ORDER THERMOELASTIC PROBLEM FOR A THIN CIRCULAR PLATE WITH UNIFORM INTERNAL HEAT GENERATION

We investigate the thermoelastic stress generation and temperature distribution in a thin circular plate using the integral transform method. The initial temperature distribution in the plate follows a parabolic profile along the $z$-axis, with insulation at $z=0$ and $z=h$. The surface $r=a$ of the circular plate is subjected to thermal heat transfer at different temperatures, followed by convection with a fluid at temperature $T_{\infty}$ and a convection coefficient $h_c$. The analytical solution for thermal stress, displacement, and temperature is derived using the integral transform method and implemented using PTC Mathcad software. Received: June 16, 2023Revised: August 8, 2023 Accepted: August 14, 2023

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来源期刊

JP Journal of Heat and Mass Transfer Physics and Astronomy-Atomic and Molecular Physics, and Optics

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1.00

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0.00%

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期刊介绍： The JP Journal of Heat and Mass Transfer publishes peer-reviewed articles in heat and mass transfer which enriches basic ideas in this field and provides applicable tools to its users. Articles both theoretical and experimental in nature covering different aspects in the area of heat and mass transfer such as heat transfer in phase change phenomena, machinery and welding operations, porous media and turbulence are considered. Priority is given to those which employ or generate fundamental techniques useful to promote applications in different disciplines of engineering, electronics, communication systems, environmental sciences and climatology. Because a combination of two or more different technologies in a single device may result into a significant development, the journal extends its scope to include papers with the utility value in electronics and communication system. In this spirit, we are devoting certain number of issues to ‘Mechanical Systems and ICT – Convergence’. Survey articles dealing with certain issues in the context of current developments in heat and mass transfer together with their applications in interdisciplinary topics are also entertained.