Antiplane Problem of the Propagation of Waves in Anisotropic Inhomogeneous Elastic Half-space Having a Plane of Elastic Symmetry
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2006, Vol 59, Issue 1
Abstract
The antiplane problem of the propagation of waves from point source in anisotropic inhomogeneous elastic medium having a plane of elastic symmetry and occupying half-space is considered. The solution is obtained by bringing the equation of motion to quasy-wave equation with variable coefficient and with the term of point impulse source. Then, the problem is solved by developing the method of integral transformations and the solution is obtained in closed form. Analytical solution of the problem is succeeded in finding by modifying integral transformations of Laplace and Fourier, the crux of which is that by means of countour integration and replacement of exponential Fourier transform by cosine transformation, transformant of solution is given rise to Laplace transformation of known functions. Further, field of displacements of shear modes is investigated and the law of wave reflection from surface of anisotropic inhomogeneous elastic half-space is deduced.
Authors and Affiliations
G. S. Sahakyan, S. G. Sahakyan
Keywords
Related Articles
- EP ID EP607261
- DOI -
- Views 67
- Downloads 0
Effective cell layer elasticity moduluses.
c
On an Approach to Conjugation of Numerical and Analytical Solutions on an example of Torsion Problem
The approach to conjugation of the numerical and analytical solutions of elasticity theory problems is proposed. In several parts of considered region the solution of a problem is constructed by analytical methods, and i...
Perturbation of Shear Waves in Acoustic Coupled Half-Spaces of a Dielectric and a Piezoelektric with a Pair of Electrodes.
c
Consideration of Uninterrupted Conditions in Solving the Tasks of Plate Bending by the Finite - Element Method
It is suggested a modification of tetragonal finite - element method, where the tasks of plate bending with taking into accountancy uninterrupted normal efforts or displacements are reduced to quadratic programming ones.
Limiting state of static definable axial symmetrically problems
The limiting state relationships of static definable axial symmetrically problems are investigated in this paper. Investigated the case, when as limiting state conditions are the Mizes’s plasticity condition and one whic...