An exact solution of the equations of elasticity is found for a family of modes of vibration, or waves, in an infinite bar of rectangular cross section for certain ratios of width to depth. The solution is composed of coupled dilatational and equivoluminal waves and the four faces of the bar are free of traction.
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Vibrations and Waves in Elastic Bars of Rectangular Cross Section
R. D. Mindlin
Columbia University, New York, N. Y.
E. A. Fox
Rensselaer Polytechnic Institute, Troy, N. Y.
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Mindlin, R. D., and Fox, E. A. (March 1, 1960). "Vibrations and Waves in Elastic Bars of Rectangular Cross Section." ASME. J. Appl. Mech. March 1960; 27(1): 152–158. https://doi.org/10.1115/1.3643890
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