Shear wave propagation in magneto poroelastic medium sandwiched between self-reinforced poroelastic medium and poroelastic half space

• Published in: Engineering computations Vol. 37; no. 9; pp. 3345 - 3359
• Main Authors: Ala, Sindhuja, Gurijala, Rajitha, Perati, Malla Reddy
• Format: Journal Article
• Language: English
• Published: Bradford Emerald Publishing Limited 28.10.2020; Emerald Group Publishing Limited
• Subjects: Composite materials; Computation; Earth crust; Graphical representations; Heterogeneity; Inhomogeneity; Initial stresses; Investigations; Magnetic fields; Parameters; Phase velocity; Porous materials; Propagation; Reinforcement; S waves; Shear; Stress propagation; Vibration analysis; Viscoelasticity; Wave propagation; Wavelengths; Samal; Initial stress; Shear wave; Inhomogeneity; Self-reinforcement; Magneto poroelastic; Half-space
• ISSN: 0264-4401; 1758-7077
• DOI: 10.1108/EC-11-2019-0505

Purpose The purpose of this paper is to investigate the effect of reinforcement, inhomogeneity and initial stress on the propagation of shear waves. The problem consists of magneto poroelastic medium sandwiched between self-reinforced medium and poroelastic half space. Using Biot’s theory of wave propagation, the frequency equation is obtained. Design/methodology/approach Shear wave propagation in magneto poroelastic medium embedded between a self-reinforced medium and poroelastic half space is investigated. This particular setup is quite possible in the Earth crust. All the three media are assumed to be inhomogeneous under initial stress. The significant effects of initial stress and inhomogeneity parameters of individual media have been studied. Findings Phase velocity is computed against wavenumber for various values of self-reinforcement, heterogeneity parameter and initial stress. Classical elasticity results are deduced as a particular case of the present study. Also in the absence of inhomogeneity and initial stress, frequency equation is discussed. Graphical representation is made to exhibit the results. Originality/value Shear wave propagation in magneto poroelastic medium embedded between a self-reinforced medium, and poroelastic half space are investigated in presence of initial stress, and inhomogeneity parameter. For heterogeneous poroelastic half space, the Whittaker’s solution is obtained. From the numerical results, it is observed that heterogeneity parameter, inhomogeneity parameter and reinforcement parameter have significant influences on the wave characteristics. In addition, frequency equation is discussed in absence of inhomogeneity and initial stress. For the validation purpose, numerical results are also computed for a particular case.