The current study examines the propagation of Love wave in a sandy layer under initial stress over a pre-stressed heterogeneous orthotropic half-space. Directional rigidities and densities are assumed to vary quadratically along with depth in the half-space. The dispersion equation has been achieved in its closed form by applying the separation of variable method. As a particular case, when the layer and half-space is considered to be isotropic and homogeneous, the dispersion relation thus obtained concurs with the classical equation of Love wave. Numerical simulations have been carried out and graphs have been plotted to exposit the substantial effect of heterogeneity, sandy and initial stress parameters on the phase velocity of Love waves. This study may be convenient to discover its applications in different areas of engineering, geophysics, seismology and many more.
Skip Nav Destination
Article navigation
10 January 2019
EMERGING TRENDS IN MATHEMATICAL SCIENCES AND ITS APPLICATIONS: Proceedings of the 3rd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2019)
17–19 January 2019
Noida, India
Research Article|
January 10 2019
Love wave propagation in a sandy layer under initial stress lying over a pre-stressed heterogeneous orthotropic half-space
Bhanu Pratap Rajak;
Bhanu Pratap Rajak
a)
1
Department of Applied Mathematics, IIT(Indian School of mines)
, Dhanbad, Jharkhand-826004, India
a)Corresponding author: pratapb536@gmail.com
Search for other works by this author on:
Santimoy Kundu
Santimoy Kundu
1
Department of Applied Mathematics, IIT(Indian School of mines)
, Dhanbad, Jharkhand-826004, India
Search for other works by this author on:
a)Corresponding author: pratapb536@gmail.com
AIP Conf. Proc. 2061, 020015 (2019)
Citation
Bhanu Pratap Rajak, Santimoy Kundu; Love wave propagation in a sandy layer under initial stress lying over a pre-stressed heterogeneous orthotropic half-space. AIP Conf. Proc. 10 January 2019; 2061 (1): 020015. https://doi.org/10.1063/1.5086637
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Sign in via your Institution
Sign in via your InstitutionPay-Per-View Access
$40.00