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A new model of rotating nonlocal fiber-reinforced visco-thermoelastic solid using a modified Green–Lindsay theory
Acta Mechanica ( IF 2.7 ) Pub Date : 2024-03-02 , DOI: 10.1007/s00707-024-03874-6
Mohamed I. A. Othman , Samia M. Said , Esraa M. Gamal

The effect of rotation on a nonlocal fiber-reinforced visco-thermoelastic media was examined in this work using an modified Green and Lindsay theory (MGL). The problem was resolved by using normal mode method to derive the precise expressions of field quantities. In this technique, one gets exact solution without any assumed restrictions on the field variables. The normal mode technique is applicable to a wide range of problems in thermodynamics and thermoelasticity. Graphical representations of the thermal temperature, displacements and stresses are obtained. Comparisons of the physical quantities are shown in figures to study the effects of nonlocal parameter, rotation, viscosity and reinforcement parameters. Some special cases of interest have also been inferred from the present problem. The results indicate that rotation, nonlocal parameter, viscosity and reinforcing factors have a considerable impact on the fluctuations of the variables under consideration. These impacts are examined and described in depth.



中文翻译:

使用修正的 Green–Lindsay 理论的旋转非局部纤维增强粘热弹性固体的新模型

本研究使用修正的格林和林赛理论 (MGL) 研究了旋转对非局部纤维增强粘热弹性介质的影响。通过使用简正模态方法推导场量的精确表达式解决了这个问题。在这种技术中,人们可以得到精确的解,而无需对场变量进行任何假设的限制。简正模技术适用于热力学和热弹性领域的广泛问题。获得热温度、位移和应力的图形表示。物理量的比较如图所示,以研究非局部参数、旋转、粘度和加固参数的影响。从目前的问题中还可以推断出一些有趣的特殊情况。结果表明,旋转、非局部参数、粘度和强化因子对所考虑变量的波动有相当大的影响。这些影响得到了深入的研究和描述。

更新日期:2024-03-03
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