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001 978-1-4020-2387-3
003 DE-He213
005 20161121231014.0
007 cr nn 008mamaa
008 100301s2005 ne | s |||| 0|eng d
020 _a9781402023873
_9978-1-4020-2387-3
024 7 _a10.1007/1-4020-2387-1
_2doi
050 4 _aTA355
050 4 _aTA352-356
072 7 _aTGMD4
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI018000
_2bisacsh
082 0 4 _a620
_223
245 1 0 _aSurface Waves in Anisotropic and Laminated Bodies and Defects Detection
_h[electronic resource] /
_cedited by Robert V. Goldstein, Gerard A. Maugin.
246 3 _aProceedings of the NATO Advanced Research Workshop, Moscow, Russia, from 30 October to 2 November 2001
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2005.
300 _aXI, 321 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNATO Science Series II: Mathematics, Physics and Chemistry,
_x1568-2609 ;
_v163
505 0 _aOn the Role of Anisotropy in Crystalloacoustics -- Surface Waves of Non-Rayleigh Type -- Nonlinearity in Elastic Surface Waves Acts Nonlocally -- Explicit Secular Equations for Surface Waves in an Anisotropic Elastic Half-Space from Rayleigh to Today -- “Nongeometrical Phenomena” in Propagation of Elastic Surface Waves -- Complex Rays and Internal Diffraction at the Cusp Edge -- Edge Waves in the Fluid Beneath an Elastic Sheet with Linear Nonhomogeneity -- On Continuum Modelling of Wave Propagation in Layered Medium; Bending Waves -- Edge Localised Bending Waves in Anisotropic Media: Energy and Dispersion -- Surface Electromagnetic Perturbations Induced by Unsteady-State Subsurface Flow -- Resonant Waves in a Structured Elastic Halfspace -- Numerical Analysis of Rayleigh Waves in Anisotropic Media -- Guided Waves in Anisotropic Media: Applications -- A General Purpose Computer Model for Calculating Elastic Waveguide Properties, with Application to Non-Destructive Testing -- The Influence of the Initial Stresses on the Dynamic Instability of an Anisotropic Cone -- Embedding Theorem and Mutual Relation for the Interface and Shear Wavespeeds -- The Non-Uniqueness of Constant Velocity Crack Propagation -- Embedding Formulae for Planar Cracks -- Wave Propogation and Crack Detection in Layered Structures.
520 _aAmong 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).
650 0 _aEngineering.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aCrystallography.
650 0 _aVibration.
650 0 _aDynamical systems.
650 0 _aDynamics.
650 0 _aMaterials science.
650 1 4 _aEngineering.
650 2 4 _aVibration, Dynamical Systems, Control.
650 2 4 _aCharacterization and Evaluation of Materials.
650 2 4 _aCrystallography.
650 2 4 _aApplications of Mathematics.
700 1 _aGoldstein, Robert V.
_eeditor.
700 1 _aMaugin, Gerard A.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402023866
830 0 _aNATO Science Series II: Mathematics, Physics and Chemistry,
_x1568-2609 ;
_v163
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-2387-1
912 _aZDB-2-ENG
950 _aEngineering (Springer-11647)
999 _c507154
_d507154