Effect of irregularity on torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and non-homogeneous half-space

Saha, Anup; Kundu, Santimoy; Gupta, Shishir; Vaishnav, Pramod Kumar

doi:10.1007/s12040-016-0689-7

Cited by 6 publications

(2 citation statements)

References 34 publications

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“…BC3: The continuous conditions (Saha et al [11]) at the irregular surface, that is,

z = εF (r)

, are identified as

(normali) v_{2} = v_{3};

((), ii) S ((), \frac{\partial v_{2}}{\partial r} goodbreak- \frac{v_{2}}{r}) ((), goodbreak- \frac{ε F^{'}}{\sqrt{1 + ε^{2} F^{' 2}}}) goodbreak+ ((), \frac{1}{\sqrt{1 + ε^{2} F^{' 2}}}) R \frac{\partial v_{2}}{\partial z} goodbreak= ((), C_{44} ([], \frac{\partial v_{3}}{\partial r} goodbreak- \frac{v_{3}}{r}) goodbreak+ e_{15} ((), \frac{\partial φ_{3}}{\partial r})) ((), goodbreak- \frac{ε F^{'}}{\sqrt{1 + ε^{2} F^{' 2}}}) goodbreak+ ((), \frac{1}{\sqrt{1 + ε^{2} F^{' 2}}}) ((), C_{44} ([], \frac{\partial v_{3}}{\partial z}) goodbreak+ e_{15} ((), \frac{\partial φ_{3}}{\partial z}));

…”

Section: Boundary Conditions (Bcs) and Dispersion Equationmentioning

confidence: 99%

“…So, it is important to study the influence of these imperfect interfaces on the torsional phase velocity. Propagation characteristics of surface wave on different type of interfaces were studied by Zang and Shinozuka [6], Singh and Lakshman [7], Tomar and Kaur [8], Sahu et al [9], Singh and Sahu [10], Saha et al [11], Singh et al [12], and Pal et al [13].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of integrated effect of irregularity and corrugated interfaces of doubly layered half space on torsional surface wave propagation

Kumari

Payal

2023

Math Methods in App Sciences

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Present geophysical model analyzes the propagation characteristics of torsional wave in an inhomogeneous viscoelastic fiber‐reinforced layer sandwiched between superior porous layer and transversely isotropic piezoelectric subspace with imperfect interfaces. Porous layer and intermediate reinforced layer are endowed with initial stress and corrugated interfaces, whereas the lower piezoelectric half space possesses rectangular cavity at the welded contact. Earth's adjacent layers near mountainous region often endowed with initial stresses resemble the present geological setup. The material properties of intermediate layer are considered to be varying exponentially. Particular cases have been deduced for electrically open and short condition for validation with the standard Love wave expressions. Effects of the relevant parameters on resultant torsional velocity have been explored through numerical simulation and depicted for electrically short and open conditions. Findings of present model may be utilized in the field of signal testing, sensors design, seismic acoustic wave (SAW) devices, and geophysical application concerned with torsional wave based on non‐destructive evaluation.

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“…BC3: The continuous conditions (Saha et al [11]) at the irregular surface, that is,