Author/Authors :
Gupta, S Department of Applied Mathematics - IIT(ISM) Dhanbad, India , Pramanik, S Department of Applied Mathematics - IIT(ISM) Dhanbad, India , Smita Department of Applied Mathematics - IIT(ISM) Dhanbad, India , Pramanik, A Department of Applied Mathematics - IIT(ISM) Dhanbad, India
Abstract :
The occurrence of SH wave propagation under the effect of a point
source in an orthotropic substratum lying over a heterogeneous
orthotropic half space is deliberated in the prospect of a devastating
earthquake. The quadratic alteration is acknowledged for density and
shear modulus which is hypothesized to be a function of depth. The
method of Green's function and transformation technique contributes
to obtain the dispersion equation and dispersion curves. An effort has
been accomplished to demonstrate the classical equation of Love
wave followed from dispersion equation. “Mathematica” software is
applied to depict the graphics. Graphics are designed to show the
effect of heterogeneous parameters corresponding to density and
shear modulus. Dispersion equation is obtained considering the case
that the displacement and stress are continuous at the interface. The
present work is an attempt to express the behavior of SH wave in an
orthotropic medium under the effect of point source.
Keywords :
Orthotropic , SH wave , Green's function , Transformation technique , Point source