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Calculate the strain tensor of the following harmonic plane wave displacement. A

ID: 2978853 • Letter: C

Question

Calculate the strain tensor of the following harmonic plane wave displacement. Assume that the displacement vector (u) describes particle motion (back and forth) during wave propagation at a point in space (x) where k = ½ pi lambda is the angular wavenumber, k is the wavenumber scalar. lambda is the wavelength (units-m). V is the speed at which the wave crosses the point, or phase velocity (units-m/s) V is the speed at which the wave cross the point, or phase velocity V = omega/k(=2 pi f/1/2 pi lambda) = f lambda t is time, f is frequency (Hz-1/s). and n is the vector that describes the direction in which the wavefront is travelling through the point.

Explanation / Answer

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