A theory of viscoelastic analogy for wave propagation in elastic and viscoelastic layered media
Abstract
Plane wave propagation in the direction normal to the layering of a periodically layered medium is discussed. The layered medium is replaced by an 'equivalent' homogeneous, linear, viscoelastic material whose dynamic response is identical to that of the actual layered medium at the centers of the odd layers. Numerical examples are given for transient waves due to a step load applied at the left boundary. Both a semi-infinite elastic layered medium and a semi-infinite viscoelastic layered medium are considered. The theory is then extended to a finite layered medium. For elastic layered media, a comparison with the exact solution obtained by the ray theory shows that the present theory satisfactorily predicts transient wave responses at any point in the layered medium. This is true regardless of whether the point is near or far from the impact end.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- February 1979
- Bibcode:
- 1979PhDT........96M
- Keywords:
-
- Elastic Media;
- Plane Waves;
- Viscoelasticity;
- Wave Propagation;
- Dynamic Response;
- Floquet Theorem;
- Laplace Transformation;
- Fluid Mechanics and Heat Transfer