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What Are Slowness Curves?

If you wanted to visualize the rate of various types of waves through a solid, you construct a slowness curve to show the movement. A slowness curve is a plot that represents the inverse of the velocity, in seconds per meter of the wave that you are measuring, as it travels through a solid material, whether metal, mineral, wood, electronic components or some manmade material such as an epoxy or surface coating.
  1. How Slowness Curves are Created

    • Slowness curves are typically constructed by selecting a plane in the material that you are studying and then calculating various phase velocities for the wave passing through the material in numerous directions through that material. Solids are the materials most frequently studied when considering slowness curves.

    Simple Slowness Curves

    • The slowness curve for a metal such as aluminum is simple and the propagation velocities are the same for all directions.

      The slowness curve for a metal such as aluminum is very simple. When passing waves through aluminum, the propagation of the waves is uniform throughout the metal.This results in a slowness curve that resembles the expanding, but uniform, circles of the bullseye of a target. Slowness curves for other stable metals are similarly simple.

    Elasticity Revealed in Slowness Curves

    • The elasticity of certain solids such as plastics or epoxies, is readily apparent when examining their slowness curves. The propagation of the waves through such materials is not uniform, as is the case with stable metals, and a quick glance at their slowness curves reveals the flexibility (or the stiffness) of the material.

    Surface Acoustic Waves

    • The plotting of sound waves through through transducers involves the practical application of the use of slowness curves.

      A practical application of the use of slowness curves is in the electronics industry. Vincent Laude and Sylvain Ballandras of the Associe´ a` l'Universite´ de Franche-Comte´in Besancon, France explain that modeling surface acoustic (sound) waves (SAWs), when propagating through interdigital transducers, provides valuable information in the construction of transducers, as reported in the Journal of Applied Physics. The mass-loading effect and capacities of acoustic waves through such transducers has been given attention, and the analyzation of their slowness curves helps engineers to construct basic parameters for their efficient design.


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