Khurana Aarti, Tomar S K
Department of Mathematics, Panjab University, Chandigarh 160 014, India.
Ultrasonics. 2017 Jan;73:162-168. doi: 10.1016/j.ultras.2016.09.005. Epub 2016 Sep 6.
Propagation of Rayleigh type surface waves in nonlocal micropolar elastic solid half-space has been investigated. Two modes of Rayleigh-type waves are found to propagate under certain approximations. Frequency equations of these Rayleigh type modes and their conditions of existence have been derived. These frequency equations are found to be dispersive in character due to the presence of micropolarity and nonlocality parameters in the medium. One of the frequency equations is a counterpart of the classical Rayleigh waves and the other is new and has appeared due to micropolarity of the medium. Phase speeds of these waves are computed numerically for Magnesium crystal and their variation against wavenumber are presented graphically. Comparisons have been made between the phase speeds of Rayleigh type waves through nonlocal micropolar, local micropolar and elastic solid half-spaces.
研究了瑞利型表面波在非局部微极弹性固体半空间中的传播。发现在某些近似条件下有两种瑞利型波模式传播。推导了这些瑞利型模式的频率方程及其存在条件。由于介质中存在微极性和非局部性参数，发现这些频率方程具有色散特性。其中一个频率方程是经典瑞利波的对应方程，另一个是新的，由于介质的微极性而出现。对镁晶体数值计算了这些波的相速度，并以图形方式给出了它们随波数的变化。比较了瑞利型波在非局部微极、局部微极和弹性固体半空间中的相速度。
