考虑太阳辐射、对流和内部热源的复杂热负荷下旋转 FGMEE 环形板蠕变的热力学耦合分析

IF 3.2 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
M. Saadatfar, M.A. Babazadeh, M. Babaelahi
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引用次数: 0

摘要

本文分析了非恒定厚度环形板的蠕变响应。圆盘的材料假定为功能分级磁电弹性材料(FGMEE),材料特性随半径变化。此外,对流和传导的传热系数是半径和温度的函数。首先,推导出了考虑热梯度、对流边界条件、内部发热和太阳辐射效应的传热方程。采用微分变换法(DTM)求解得出的非线性微分方程。然后得到了包括蠕变应变效应在内的环形板平衡方程。在忽略蠕变应变的情况下,得到了该方程零时的解析解。然后,利用诺顿定律和普朗特-罗伊斯关系引入蠕变应变,求出固定温度边界条件下的应力和应变率。接着,对包括蠕变应变在内的应变率方程进行分析求解。最后,采用迭代法评估任意时间点上随时间变化的蠕变应力再分布。数值示例强调了内部发热、对流传热、分级指数、太阳辐射、厚度轮廓和角速度等关键参数对应力、变形以及电势和磁势的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Coupled thermo-mechanical analysis of creep in a rotating FGMEE annular plate under complex thermal loading considering solar radiation, convection, and internal heat source

In this analysis, the creep responses of a non-constant thickness annular plate was presented. The material of disc is assumed functionally graded magneto-electro-elastic (FGMEE) in which the material properties change through the radius. Also, the heat transfer coefficients for convection and conduction are functions of radius and temperature. At first, the equation of heat transfer accounting for thermal gradient, convection boundary conditions, internal heat generation, and solar radiation effects was derived. The differential transformation method (DTM) was used to solve the resulting nonlinear differential equation. The equilibrium equation for the annular plate including creep strain effects was then obtained. Ignoring creep strains, an analytical solution was obtained for the zero-time of this equation. Then, creep strains were introduced using Norton's law and the Prandtl-Reuss relations to find the stress and strain rates under fixed temperature boundary conditions. Next, the equation of strain rates including creep strains was solved analytically. Finally, an iterative approach was used to evaluate the time-dependent redistribution of creep stresses at any time point. Numerical examples highlighted the influences of key parameters like internal heat generation, convective heat transfer, grading index, solar radiation, thickness profile, and angular speed on the stresses, deformations and electric and magnetic potentials.

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来源期刊
Forces in mechanics
Forces in mechanics Mechanics of Materials
CiteScore
3.50
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