Elastic surface waves in crystals. Part 1: Review of the physics

Favretto-Cristini, Nathalie; Komatitsch, Dimitri; Carcione, José M.; Cavallini, F.

doi:10.1016/j.ultras.2011.02.007

Cited by 41 publications

(13 citation statements)

References 108 publications

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“…Besides the reflected bulk waves listed above, it is found that there emerges a reflected surface localized at the boundary and propagates parallel to the boundary. Other than the general surface wave , the reflected surface wave should satisfy the boundary conditions of Eq. together with other reflected bulk waves viz.…”

Section: Resultsmentioning

confidence: 99%

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Yuan

Jiang

2016

Z Angew Math Mech

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This paper addresses the initial stresses and rotation effects on the wave reflection in the pyroelectric half‐plane using inhomogeneous wave approach. The rotation in the governing pyroelectric equation is characterized by considering the Coriolis and centrifugal accelerations, and the initial stresses are included by modifying the elasticity tensor. A scenario is modelled where a quasi‐longtitudinal wave is incident on free boundary surface, resulting into reflected waves like temperature wave, quasi‐transverse wave, quasi‐longitudianal wave, and surface wave. Attenuation angle, initial stresses, and rotation's impacts on the velocity, attenuation, and energy coefficients of reflected wave are presented.

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Section: Resultsmentioning

confidence: 99%

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Yuan

Jiang

2016

Z Angew Math Mech

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“…The range is simply the one for which waves have a normal to the slowness surface (proportional to the group velocity) that points towards the abscissa axis. There exists a well-known close connection [38,40,60,73] between the problem of a uniformly-moving dislocation in an anisotropic media, and the theory of surface waves and of wave reflection at interfaces in anisotropic media (see, e.g., [39,74,75] for recent reviews). In the latter context, it is remarked that waves with such normals have been interpreted as incident waves onto the interface [73].…”

Section: Concluding Discussionmentioning

confidence: 99%

Causal Stroh formalism for uniformly-moving dislocations in anisotropic media: Somigliana dislocations and Mach cones

Pellegrini

2017

Wave Motion

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In this work, Stroh's formalism is endowed with causal properties on the basis of an analysis of the radiation condition in the Green tensor of the elastodynamic wave equation. The modified formalism is applied to dislocations moving uniformly in an anisotropic medium. In practice, accounting for causality amounts to a simple analytic continuation procedure whereby to the dislocation velocity is added an infinitesimal positive imaginary part. This device allows for a straightforward computation of velocity-dependent field expressions that are valid whatever the dislocation velocity -including supersonic regimes-without needing to consider subsonic and supersonic cases separately. As an illustration, the distortion field of a Somigliana dislocation of the Peierls-Nabarro-Eshelby-type with finite-width core is computed analytically, starting from the Green tensor of elastodynamics. To obtain the result in the form of a single compact expression, use of the modified Stroh formalism requires splitting the Green function into its reactive and radiative parts. In supersonic regimes, the solution obtained displays Mach cones, which are supported by Dirac measures in the Volterra limit. From these results, an explanation of Payton's 'backward' Mach cones [R. G. Payton, Z. Angew. Math. Phys. 46, 282-288 (1995)] is given in terms of slowness surfaces, and a simple criterion for their existence is derived. The findings are illustrated by full-field calculations from analytical formulas for a dislocation of finite width in iron, and by Huygens-type geometric constructions of Mach cones from ray surfaces.

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“…Various ways to deal with such surface wave solutions are carefully reviewed by Every et al 22 and Favretto-Cristini et al 23 Facile measurement of elastic constants X Du and J-C Zhao…”

Section: Introductionmentioning

confidence: 99%

“…In contrast, RW is "subsonic" and thus it can be identified along any given propagation orientation as the peak with a velocity lower (higher slowness) than that of the ST wave (only in extremely rare cases the RW velocity is "supersonic" and such situations can be identified by the full surface and bulk wave calculations). 22,23 For orientations along which the RW is too weak to be observable, the PSAW is selected as the SAW. This is accomplished by a first search of the RW peak in the slowness region above that of the ST wave; and in the absence of an observable RW peak, the program/algorithm selects the first peak with the slowness lower than that of the ST wave.…”

Section: Introductionmentioning

confidence: 99%

Facile measurement of single-crystal elastic constants from polycrystalline samples

Zhao

2017

npj Comput Mater

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Elastic constants are among the most fundamental properties of materials. Simulations of microstructural evolution and constitutive/micro-mechanistic modeling of materials properties require elastic constants that are predominately measured from single crystals that are labor intensive to grow. A facile technique is developed to measure elastic constants from polycrystalline samples. The technique is based upon measurements of the surface acoustic wave velocities with the help of a polydimethylsiloxane film grating that is placed on a polished surface of a polycrystalline sample to confine surface acoustic waves that are induced by a femtosecond laser and measured using pump-probe time-domain thermoreflectance. Electron backscatter diffraction is employed to measure the crystallographic orientation along which the surface acoustic wave propagates in each grain (perpendicular to the polydimethylsiloxane grating). Such measurements are performed on several grains. A robust mathematical solution was developed to compute the surface acoustic wave velocity along any crystallographic orientation of any crystal structure with given elastic constants and density. By inputting various starting values of elastic constants to compute the surface acoustic wave velocities to match experimental measurements in several distinct crystallographic orientations using an optimization algorithm, accurate elastic constant values have been obtained from seven polycrystalline metal samples to be within 6.8% of single-crystal measurements. This new technique can help change the current scenario that experimentally measured elastic constants are available for only about 1% of the estimated 160,000 distinct solid compounds, not to mention the significant need for elastic constants of various solid solution compositions that are the base of structural materials.

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Elastic surface waves in crystals. Part 1: Review of the physics

Cited by 41 publications

References 108 publications

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Causal Stroh formalism for uniformly-moving dislocations in anisotropic media: Somigliana dislocations and Mach cones

Facile measurement of single-crystal elastic constants from polycrystalline samples

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