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Purpose <p>Visco-elastic materials are used widely for the Mitigation of seismic motion and vibration isolation in different branches of engineering and have significant advantages in the study of energy dissipation. Visco-elastic materials and devices are often used in a thermoelastic coupling state. In this study, a new formulation has been established for mathematical analysis of thermoelastic plate under micro-polarity and viscosity impact. </p> Methods <p>The preliminary equations are made dimensionless. The problem is simplified by applying normal mode analysis technique and the analytical solutions for temperature distribution, micro-rotation and potential functions are obtained. </p> Findings <p>The secular equations for symmetric and anti-symmetric modes are obtained for suitable boundary constraints. The obtained theoretic results are explored numerically with the aid of MATLAB programming software. The attribute of waves (attenuation coefficient and phase velocity) are displayed in the form of graphs to depict the viscosity impact for Green-Lindsay (GL) model. Certain particular cases of interest are also presented.</p>

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Influence of Viscosity and Memory-Dependent Heat Conduction on Wave Motion in Micro-Polar Thermoelastic Plates

  • 期刊论文

  • 发表日期：

    2026年6月20日

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  • Sunil Kumar,
  • Rajneesh Kumar,
  • Geeta Partap

摘要

Purpose

Visco-elastic materials are used widely for the Mitigation of seismic motion and vibration isolation in different branches of engineering and have significant advantages in the study of energy dissipation. Visco-elastic materials and devices are often used in a thermoelastic coupling state. In this study, a new formulation has been established for mathematical analysis of thermoelastic plate under micro-polarity and viscosity impact.

Methods

The preliminary equations are made dimensionless. The problem is simplified by applying normal mode analysis technique and the analytical solutions for temperature distribution, micro-rotation and potential functions are obtained.

Findings

The secular equations for symmetric and anti-symmetric modes are obtained for suitable boundary constraints. The obtained theoretic results are explored numerically with the aid of MATLAB programming software. The attribute of waves (attenuation coefficient and phase velocity) are displayed in the form of graphs to depict the viscosity impact for Green-Lindsay (GL) model. Certain particular cases of interest are also presented.