Rayleigh-type waves in nonlocal micropolar solid half-space

• Published in: Ultrasonics Vol. 73; pp. 162 - 168
• Main Authors: Khurana, Aarti, Tomar, S.K.
• Format: Journal Article
• Language: English
• Published: Netherlands Elsevier B.V 01-01-2017
• Subjects: Dispersion; Elastic solid; Micropolar; Nonlocal; Phase speed; Rayleigh waves; Micropolar; Elastic solid; Nonlocal; Rayleigh waves; Dispersion; Phase speed
• ISSN: 0041-624X; 1874-9968
• DOI: 10.1016/j.ultras.2016.09.005

•Two modes of Rayleigh type waves are found to travel.•One of the Rayleigh modes is counterpart of classical case, while the other is new.•Conditions of propagation of these modes are derived.•Both the Rayleigh modes are dispersive in nature and influenced by the nonlocality.
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.