A thermoelastic micro-elongated layer under the effect of gravity in the context of the dual-phase lag model,ZAMM - Journal of Applied Mathematics and Mechanics

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A thermoelastic micro-elongated layer under the effect of gravity in the context of the dual-phase lag model
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-06-25 , DOI: 10.1002/zamm.202100109
Mohamed I. A. Othman ₁ , Sarhan Y. Atwa ₂ , Ebtesam E. M. Eraki ₁ , Mohamed F. Ismail ₂

Affiliation

This paper aims to present a Lord-Shulman theory of one relaxation time and the dual-phase-lag model of two-relaxation times to study the effect of gravity on both the micro-elongated thermoelasticity layer and the elastic layer in the above. The normal mode analysis was used to obtain the expressions of the displacement components, the micro-elongational scalar, and the stress components. Comparisons between the physical quantities were getting numerically and epitomized graphically. The results depict the effect of the presence and absence of gravity and the relaxation times on all the physical quantities.

中文翻译：

双相滞后模型背景下重力作用下的热弹性微伸长层

本文旨在提出一次弛豫时间的Lord-Shulman理论和二次弛豫时间的双相滞后模型，研究重力对上述微拉伸热弹性层和弹性层的影响。使用法向模态分析得到位移分量、微伸长标量和应力分量的表达式。物理量之间的比较在数字上和图形上得到了概括。结果描述了重力的存在和不存在以及弛豫时间对所有物理量的影响。

更新日期：2021-06-25

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