Wave analysis in porous thermoelastic plate with microtemperature

IF 2.3 4区 工程技术 Q1 MATHEMATICS, APPLIED Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik Pub Date : 2023-11-05 DOI:10.1002/zamm.202300558
Pooja Rani, Rajneesh Kumar, Geeta Partap
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Abstract

Abstract In the current study, wave analysis in porous thermoelastic plates with microtemperature subject to insulated or isothermal boundaries is the main focus. The governing equations, after expressing for the two‐dimensional case, are converted into nondimensional quantities. For further simplification, potential functions have been used. The normal mode analysis technique is applied to solve the problem. This technique is an influential methodology that furnishes suitable solutions with no presumed limitations. For stress‐free insulated, or isothermal boundaries, the frequency equations for symmetric and skew‐symmetric modes of wave propagation are derived. The attributes of waves (phase velocity, attenuation coefficient, specific loss, and penetration depth) are computed numerically and presented graphically to show the impacts of porosity and microtemperature. Particular cases of porous thermoelastic plates and thermoelastic plates with microtemperatures are presented. The present problem provides a theoretical foundation for the design and development of new composite materials and surface acoustic devices.
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微温度下多孔热弹性板的波动分析
在目前的研究中,具有绝缘或等温边界的多孔热弹性板的波动分析是主要的研究热点。在表示二维情况后,将控制方程转换为非量纲量。为了进一步简化,我们使用了势函数。应用正态分析技术解决了这一问题。这种技术是一种有影响力的方法,它提供了没有假定限制的合适解决方案。对于无应力绝缘或等温边界,推导了对称和斜对称波传播模式的频率方程。数值计算了波的属性(相速度、衰减系数、比损耗和穿透深度),并用图形表示了孔隙度和微温度的影响。给出了多孔热弹性板和具有微温度的热弹性板的具体情况。该问题为新型复合材料和表面声器件的设计与开发提供了理论基础。
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来源期刊
CiteScore
3.30
自引率
8.70%
发文量
199
审稿时长
3.0 months
期刊介绍: ZAMM is one of the oldest journals in the field of applied mathematics and mechanics and is read by scientists all over the world. The aim and scope of ZAMM is the publication of new results and review articles and information on applied mathematics (mainly numerical mathematics and various applications of analysis, in particular numerical aspects of differential and integral equations), on the entire field of theoretical and applied mechanics (solid mechanics, fluid mechanics, thermodynamics). ZAMM is also open to essential contributions on mathematics in industrial applications.
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