Surface waves in nonlocal transversely isotropic liquid-saturated porous solid

2021 ◽  
Author(s):  
Do Xuan Tung
Keyword(s):  
Surface Waves ◽  
Transversely Isotropic ◽  
Porous Solid ◽  
Isotropic Liquid

Surface Waves for Material Characterization

1990 ◽  
Vol 57 (1) ◽  
pp. 7-11 ◽  
Author(s):  
Joseph L. Rose ◽  
Adnan Nayfeh ◽  
Aleksander Pilarski
Keyword(s):  
Surface Waves ◽  
Material Characterization ◽  
Propagation Speed ◽  
Transversely Isotropic ◽  
Isotropic Layer ◽  
Centrifugally Cast ◽  
Closed Form Solutions ◽  
Steel Material ◽  
Stainless Steel Material ◽  
Cast Stainless Steel

Analyses are presented for the propagation of harmonic surface waves on a transversely isotropic layer rigidly bonded to a transversely isotropic substrate of different material. The layer-substrate system is also assumed to be in contact with a liquid and inviscid space. The propagation takes place along an axis of symmetry of both the layer and the substrate. Exact closed-form solutions for the characteristic dispersion relations are presented. Numerical results are presented for material combinations of three classes of centrifugally cast stainless steel material. Results clearly demonstrate the influence of the layer thickness on the propagation speed and, hence, provide a means of material characterization.

An Acoustoelastic Theory for Surface Waves in Anisotropic Media

1987 ◽  
Vol 54 (1) ◽  
pp. 127-135 ◽  
Author(s):  
G. Thomas Mase ◽  
G. C. Johnson
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Wave Speed ◽  
Transversely Isotropic ◽  
Wave Speeds ◽  
Local Rotation ◽  
Copper Single Crystals ◽  
Cubic Function

A theory for surface waves in an anisotropic material is developed in the framework of acoustoelasticity in which the material’s strain energy density is taken to be a cubic function in the strain. In order to relate the surface wave speeds to the applied stress, a configuration is introduced in which the effect of the local rotation is removed. The development shows that the surface wave speed can be determined from the eigenvalues of a particular real symmetric 2×2 matrix. Numerical results are given for uniaxial loading applied to aluminum and copper single crystals and to an ideal transversely isotropic aggregate of aluminum.

The behaviour of elastic surface waves polarized in a plane of material symmetry. I. Addendum

1991 ◽  
Vol 433 (1889) ◽  
pp. 699-710 ◽  
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Plane Waves ◽  
Transversely Isotropic ◽  
Point Of View ◽  
Reference Plane ◽  
Material Symmetry ◽  
Reflected Waves ◽  
Inhomogeneous Plane ◽  
Symmetric Surface

This addition to a recent paper by Chadwick ( Proc. R. Soc. Lond . A 430, 213 (1990); hereafter referred to as part I) has been prompted mainly by the discovery of secluded supersonic surface waves propagating in configurations of transversely isotropic elastic media in which the reference plane is not a plane of material symmetry and coexisting with a subsonic surface wave. The occurrence of a supersonic surface wave travelling in a direction e 1 with speed v s implies that there are two homogeneous plane waves, with slowness vectors s i and s r such that s i . e 1 = S r . e 1 = v -1 s , which comprise the incident and reflected waves in a case of simple reflection at the traction-free boundary. Supersonic surface waves may therefore be found by searching within a suitably defined space of simple reflection, R . This is the approach which has led to the new results mentioned above and the principal conclusions of part I are re-examined here from the same point of view. It is found that, whereas the secluded supersonic surface waves in transversely isotropic media correspond to isolated points on a curvilinear projection of R which does not intersect the curve representing subsonic surface waves, the symmetric surface waves studied in part I define a curve which may lie partly inside and partly outside a projection of R in the form of a region, the interior points representing supersonic and the exterior points subsonic surface waves. This discussion is preceded by a simplification of the existence-uniqueness theorem proved in part I and followed by a reconsideration of the possibility that an inhomogeneous plane elastic wave can qualify as a surface wave. Such one-component surface waves do exist, but a symmetric surface wave necessarily contains two inhomogeneous plane waves.

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