Finding Sound Velocity in Iron: Examining Dispersion Curves

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SUMMARY

The discussion focuses on determining the sound velocity in iron by analyzing dispersion curves. The user inquires about using group propagation velocity, defined as vg = dw/dk, to derive this information from the dispersion relation w(k). A response indicates that for audio frequencies, dispersion effects are negligible, and suggests consulting reference tables for sound velocity in iron instead of complex calculations.

PREREQUISITES
  • Understanding of dispersion curves in materials
  • Familiarity with group velocity calculations
  • Knowledge of sound velocity in solids
  • Basic principles of wave propagation
NEXT STEPS
  • Research the properties of dispersion curves in solid materials
  • Study the calculation of group velocity in various media
  • Examine reference tables for sound velocities in different materials
  • Explore the effects of frequency on sound propagation in solids
USEFUL FOR

Materials scientists, physicists, and engineers interested in acoustic properties of metals, particularly those studying sound propagation in iron.

rubertoda
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I want to define (and find the sound velocity i iron).

can i read it through the dispersion curves of iron?

I am trying to see it through the group propagation velocity, vg = dw/dk, i. e the slope
of the dispersion relation w(k).

am i on the right track?





thanks
 
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I am not sure what are you trying to do.
For what purpose do you need the speed of sound in iron?
For audio frequencies the dispersion is negligible and you can just look up the speed on a table.
 

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