Elastic nonlinearity parameters of tetragonal crystals |
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Authors: | Jacob Philip |
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Institution: | (1) Department of Physics, Cochin University of Science and Technology, 682 022 Cochin, India |
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Abstract: | The equations of motion for the propagation of finite amplitude elastic waves in crystals of tetragonal symmetry have been
derived starting from the expression for the elastic strain energy. The equations have been solved for a finite amplitude
sinusoidal wave propagating along the pure mode directions which are 100], 110] and 001] for the tetragonal group TI. The
solutions corresponding to longitudinal wave propagation yield expressions for the amplitudes of the fundamental and generated
second harmonic for these directions in terms of certain combinations of second and third order elastic constants of the medium.
The results will aid the experimenter to determine these constants using ultrasonic harmonic generation technique. |
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Keywords: | Elastic nonlinearity tetragonal symmetry second harmonic generation third order elastic constants pure modes longitudinal waves |
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