Abstract

The present research article deals with the study of surface wave propagation in hygrothermoelastic medium with hydrostatic initial stress. The coupled wave equations in terms of displacement, temperature and moisture concentration are solved analytically. The values of the penetration depth of different waves are obtained and depicted graphically against frequency. To explore some interesting results, the authors have also discussed deformation in the medium caused due to a mechanical force along the free surface of hygrothermoelastic solid with hydrostatic initial stress. The components of displacement, mechanical stresses, moisture concentration and temperature distribution in the medium are obtained and presented analytically. The graphical results of the variations of these quantities are presented graphically to show the effect of hydrostatic initial stress.

摘要

本文研究的是具有静水初始应力的潮热弹性介质中表面波传播的研究。用位移，温度和水分浓度来分析耦合波方程。获得不同波的穿透深度的值，并针对频率以图形方式描绘。为了探索一些有趣的结果，作者还讨论了由于沿静水热弹性固体自由表面具有静水初始应力的机械力引起的介质变形。获得并分析了介质中的位移，机械应力，水分浓度和温度分布的成分。