Green’s functions of an exponentially graded transversely isotropic half-space
نویسندگان
چکیده
منابع مشابه
Fundamental Steady state Solution for the Transversely Isotropic Half Space
Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...
متن کاملSeismic Rayleigh waves on an exponentially graded, orthotropic half-space
Efforts at modelling the propagation of seismic waves in half-spaces with continuously varying properties have mostly been focused on shear-horizontal waves. Here, a sagittally polarized (Rayleigh type) wave travels along a symmetry axis (and is attenuated along another) of an orthotropic material with stiffnesses and mass density varying in the same exponential manner with depth. In contrast t...
متن کاملScattering by a Cavity in an Exponentially Graded Half-Space
An inhomogeneous half-space containing a cavity is bonded to a homogeneous halfspace. Waves are incident on the interface and the problem is to calculate the scattered waves. For a circular cavity in an exponentially graded half-space, it is shown how to solve the problem by constructing an appropriate set of multipole functions. These functions are singular on the axis of the cavity, they sati...
متن کاملRayleigh Wave in an Initially Stressed Transversely Isotropic Dissipative Half-Space
The governing equations of a transversely isotropic dissipative medium are solved analytically to obtain the surface wave solutions. The appropriate solutions satisfy the required boundary conditions at the stress-free surface to obtain the frequency equation of Rayleigh wave. The numerical values of the non-dimensional speed of Rayleigh wave speed are computed for different values of frequency...
متن کاملRocking Rotation of a Rigid Disk Embedded in a Transversely Isotropic Half-Space
The asymmetric problem of rocking rotation of a circular rigid disk embedded in a finite depth of a transversely isotropic half-space is analytically addressed. The rigid disk is assumed to be in frictionless contact with the elastic half-space. By virtue of appropriate Green's functions, the mixed boundary value problem is written as a dual integral equation. Employing further mathematical tec...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Solids and Structures
سال: 2010
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2010.02.014