Plane Waves in Micropolar thermoelastic Materials with Voids

Abstract

The problem of plane waves in micropolar thermoelastic materials with voids has been investigated. Using the linear theory of micropolar thermoelastic materials with voids developed by Passarella [27], we come to know that there exist six waves, which are three coupled dilatational waves, two coupled shear waves and micropolar dilatational wave, in the materials. The phase velocities and their attenuation coefficients of the three coupled and micropolar dilatational and two coupled shear waves are obtained numerically and analytically.2010 Mathematics Subject Classification: 780A17, 74A05, 74J05.

Reflection of plane waves from the stress-free boundary surface of a microstretch elastic solid half-space containing voids

“…They have also investigated the reflection problem from the stress-free boundary surface of a nonlocal elastic half-space with voids due to the incidence of a set of coupled longitudinal waves. Some relevant works using Eringen's micropolar elasticity and Cowin's theory of elastic material with voids are given by Iesan [26], Tomar and Singh [27], Tomar [28], Kumar and Deswal [29], Singh and Lianngenga [30], Kumar and Tomar [31,32], Lianngenga et al [33] including others.…”

Reflection of coupled dilatational and shear waves in the generalized micropolar thermoelastic materials

“…The following literature works of wave propagation in different materials may also be mentioned, i.e. Achenbach (1976), Khurana and Tomar (2007), Das et al (2008), Aouadi (2009), Sharma and Kumar (2009), Passarella and Zampoli (2010), Singh (2010, 2011, 2013), Singh and Lianngenga (2016, 2017), Singh et al (2006), Singh and Kumar (1998), Mitra and Bhattacharyya (2017), Othman et al (2017), Marin and Nicaise (2016), Marin and Craciun (2017), Marin et al (2017), Khan et al (2018), and Codarcea-Munteanu and Marin (2019).…”