Diffuse scattered field of elastic waves from randomly rough surfaces using an analytical Kirchhoff theory

2016 ◽  
Vol 92 ◽  
pp. 260-277 ◽  
Author(s):  
F. Shi ◽  
M.J.S. Lowe ◽  
X. Xi ◽  
R.V. Craster
1969 ◽  
Vol 45 (1) ◽  
pp. 295-295
Author(s):  
K. E. Hawker ◽  
P. J. Welton

1963 ◽  
Vol 3 (3) ◽  
pp. 325-339 ◽  
Author(s):  
M. Papadopoulos

AbstractA crack is assumed to be the union of two smooth plane surfaces of which various parts may be in contact, while the remainder will not. Such a crack in an isotropic elastic solid is an obstacle to the propagation of plane pulses of the scalar and vector velocity potential so that both reflected and diffracted fields will be set up. In spite of the non-linearity which is present because the state of the crack, and hence the conditions to be applied at the surfaces, is a function of the dependent variables, it is possible to separate incident step-function pulses into either those of a tensile or a compressive nature and the associated scattered field may then be calculated. One new feature which arises is that following the arrival of a tensile field which tends to open up the crack there is necessarily a scattered field which causes the crack to close itself with the velocity of free surface waves.


1967 ◽  
Vol 57 (3) ◽  
pp. 393-419
Author(s):  
A. Levy ◽  
H. Deresiewicz

abstract The scattered field generated by normally incident body waves in a system of layers having small, but otherwise arbitrary, periodic deviations from plane parallel boundaries is shown to consist of superposed plane body and surfacetype waves. Results of numerical computations for two like half-spaces separated by a sinusoidally corrugated single layer, and by two layers, reveal the variation of the amplitude of the field with ratios of velocities, densities, impedances, and with those of depth of layers and wavelength of the boundary corrugations to the wavelength of the incident wave.


2021 ◽  
Vol 119 (7) ◽  
pp. 071603
Author(s):  
Hong Hu ◽  
Suo Zhao ◽  
Wenshuo Wang ◽  
Yuqi Zhang ◽  
Yu Fu ◽  
...  

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