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Incident waves in Solid Mechanics
Posted 2014年12月5日 GMT-5 05:49 Structural Mechanics Version 4.4 0 Replies
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I'm trying to implement purely incident elastic waves (p-waves or s-waves) in Solid Mechanics module, but I have trouble to defining a wave that is purely incident.
The boundary condition I'm trying to implement (in Frequency Domain) is:
u_x(x_left, omega) = 2*Ap*exp(i*kp*x_left) - ( 1/i*kp )* dx u_x(x_left, omega)
u_y(x_left, omega) = (- 1/i*ks)*dx u_y(x_left, omega)
where u_x(x_left, omega) and u_y(x_left, omega) is the displacement i x & y-direction on a boundary to the left, Ap is the amplitude, kp and ks are wavenumbers, x_left is the position of left boundary and
dx u_x(x_left, omega) and dx u_y(x_left, omega) are the partial derivatives of displacement components i x & y-direction at the left boundary, with respect to x.
This is a kind of mixed boundary condition and I wonder if there is any way to implement this boundary condition in Solid Mechanics module, or is there any other way to prescribe a purely incident elastic wave?
Kind regards,
Alexey
Hello Alexey Khlopotin
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