Department of Mathematics & Computer Science, Mizoram University, Aizawl 796 004, Mizoram, India.
Comput Biol Med. 2024 Sep;179:108916. doi: 10.1016/j.compbiomed.2024.108916. Epub 2024 Jul 24.
The present work studies the variation in the nature of Rayleigh waves due to change in age, gender and morphological region of human skin tissue in the context of three-phase-lag (TPL) nonlocal thermoelastic theory. The secular equations are derived using the stress free, thermally insulated or isothermal boundary conditions. These secular equations are solved numerically and two significant modes of Rayleigh wave are noted to propagate simultaneously. The phase speeds, attenuation coefficients and path of the particle motion for both modes are presented graphically. These results are compared for different age, gender and morphological region of the source skin tissue. We have observed that the phase speeds increase with the increases of stiffness of the skin and vice versa. Certain specific angular frequencies and phase speeds are obtained which can be used for the detection and thermal therapy of skin disorders. Some published results are recovered as special cases to validate the current results.
本工作研究了在三相滞后（TPL）非局部热弹性理论背景下，人类皮肤组织的年龄、性别和形态区域变化对瑞利波性质的影响。利用无应力、热绝缘或等温边界条件推导出了久期方程。这些久期方程被数值求解，并注意到两种重要的瑞利波模式同时传播。给出了两种模式的相速度、衰减系数和粒子运动路径的图形表示。这些结果是针对不同的源皮肤组织的年龄、性别和形态区域进行比较的。我们观察到，相速度随皮肤刚度的增加而增加，反之亦然。得到了某些特定的角频率和相速度，可以用于皮肤疾病的检测和热疗。恢复了一些已发表的结果作为特例来验证当前的结果。
