| Surface Waves in Anisotropic and Laminated Bodies and Defects Detection 2004 Edition Contributor(s): Goldstein, Robert V. (Editor), Maugin, Gérard a. (Editor) |
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ISBN: 1402023855 ISBN-13: 9781402023859 Publisher: Springer OUR PRICE: $208.99 Product Type: Hardcover - Other Formats Published: September 2004 Annotation: The most urgent problems in relation to surface wave analysis and applications, which are comprehensively discussed here, are: Development of an adequate theory to analyze the "forbidden" direction problem for genuine surface waves; analyzing nonclassical surface waves propagating in forbidden directions; development of efficient numerical methods and algorithms to analyze surface waves (including Love and Lamb waves) propagating in homogeneous and layered media with both arbitrary elastic anisotropy and plasticity and having a complex internal structure; development of experimental and theoretical procedures to identify material properties, and solitary and dispersed defects by non-destructive testing; development of efficient analytical and numerical methods to analyze surface waves in porous, water-saturated media and ice fields; development of analytical and numerical methods to analyze interactions of cracks, faults, step discontinuities and edges with surface waves; improving the theory of crack propagation in relation to the analysis of surface wave velocities; and developing a theory to predict the behaviour of nonlinear surface waves. |
| Additional Information |
| BISAC Categories: - Science | Physics - Condensed Matter - Technology & Engineering | Materials Science - General - Technology & Engineering | Mechanical |
| Dewey: 530.416 |
| LCCN: 2004053797 |
| Series: NATO Science Series II: |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.42 lbs) 321 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Among the variety of wave motions one can single out surface wave pr- agation since these surface waves often adjust the features of the energy transfer in the continuum (system), its deformation and fracture. Predicted by Rayleigh in 1885, surface waves represent waves localized in the vicinity ofextendedboundaries(surfaces)of?uidsorelasticmedia. Intheidealcase of an isotropic elastic half-space while the Rayleigh waves propagate along the surface, the wave amplitude (displacement) in the transverse direction exponentially decays with increasing distance away from the surface. As a resulttheenergyofsurfaceperturbationsislocalizedbytheRayleighwaves within a relatively narrow layer beneath the surface. It is this property of the surface waves that leads to the resonance phenomena that accompany the motion of the perturbation sources (like surface loads) with velocities close to the Rayleigh one; (see e. g., R. V. Goldstein. Rayleigh waves and resonance phenomena in elastic bodies. Journal of Applied Mathematics and Mechanics (PMM), 1965, v. 29, N 3, pp. 608-619). It is essential to note that resonance phenomena are also inherent to the elastic medium in the case where initially there are no free (unloaded) surfaces. However, they occur as a result of an external action accompanied by the violation of the continuity of certain physical quantities, e. g., by crack nucleation and dynamic propagation. Note that the aforementioned resonance phenomena are related to the nature of the surface waves as homogeneous solutions (eigenfunctions) of the dynamic elasticity equations for a half-space (i. e. nonzero solutions at vanishing boundary conditions). |