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Elastic wave propagation

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EngTipX

Mechanical
May 23, 2011
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How to simulate elastic wave propagation in Solids?
a) How to model an incident P-wave (Pressure Primary longitudinal wave) or SV, SH-wave
The incident wave will be harmonic and it has periodicity in the direction of propagation
P-wave is P=P[sub]0[/sub][sup]e1i.K.x[/sup][sup]e1i.omega.t[/sup]
S-wave is P=P[sub]0[/sub]e[sup]1i.k.x[/sup]e[sup]1i.omega.t[/sup]
such that omega is the incident wave frequecny, K is longitudinal wave number, k is the shear wave number, P0 is the amplitude of pressure
e is the exponetial, 1i is the imaginary 1i=sqrt(-1), t=time
b) How to model non reflecting boundary conditions? So the waves are not refelected on the boundaries?

Here are my thoughts:
this is a harmonic analysis this takes care of e[sup]1i.omega.t[/sup], then how to simulate periodicity in propagation direction which is x?
the non reflecting boundary can be simulated as far away with damping elements?

If you can suggest with command snippet (I am using ANSYS) would be great, however any input would be appreciated
 
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