On Continuum Modelling of Wave Propagation in Layered Medium; Bending Waves

Author(s):  
K. B. Ustinov
Wave Motion ◽  
1992 ◽  
Vol 16 (1) ◽  
pp. 33-55 ◽  
Author(s):  
Andrew Norris ◽  
Fadil Santosa

1964 ◽  
Vol 31 (2) ◽  
pp. 213-222 ◽  
Author(s):  
J. P. Jones

Elastic wave propagation in a medium consisting of two finite layers is considered. Two types of solutions are treated. The first is a Rayleigh train of waves. It is seen that for this case, when the wavelength becomes short, the waves approach two Rayleigh waves plus a possible Stoneley wave. When the wavelength becomes large, there are two waves; i.e., a flexural wave and an axial wave. Calculations are presented for this case. The propagation of SH waves is treated, but no calculations are presented.


1998 ◽  
Vol 65 (4) ◽  
pp. 930-938 ◽  
Author(s):  
K.-E. Fa¨llstro¨m ◽  
O. Lindblom

In this paper we study transient propagating bending waves. We use the equations of orthotropic plate dynamics, derived by Chow about 25 years ago, where both transverse shear and rotary inertia are included. These equations are extended to include anisotropic plates and an integral representation formula for the bending waves is derived. Chow’s model is compared with the classical Kirchoff’s model. We also investigate the influence of the rotary inertia. Comparisons with experimental data are made as well.


Wave propagation in a periodically layered medium is studied in which each period consists of two layers of homogeneous anisotropic elastic materials. The layered medium occupies the half-space x ≥ 0 in which the x -axis is normal to the layers. Transient waves in the layered medium are generated by a unit step load in time applied at x = 0. A general solution that applies to any x is obtained in the form of a Laplace transform. Asymptotic solutions valid for large x are then deduced. If the applied load at x = 0 is in the direction of one of the polarization vectors for the layered medium determined here, the stress components propagate uncoupled asymptotically. For general loadings, there are three ‘heads of the pulses’, each of which is in the form of an Airy integral.


Author(s):  
Yingkang Wei ◽  
Bengt Holter ◽  
Ingve Simonsen ◽  
Karsten Husby ◽  
Jacob Kuhnle ◽  
...  

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