The propagation of nonstationary waves in semi-infinite elastic rectangular bars is studied. It is assumed that two opposite lateral surfaces of the body are free of forces, while the two others are subjects to cross conditions. By introducing three new potential functions, the author succeeded in getting closed-form solutions in Laplace and Fourier transform parameters. Inversion of the transform solutions, carried out by an original method of inversion, is suggested herein.
Issue Section:
Brief Notes
Keywords:
elasticity
1.
Rassoulova
, N. B.
, 1997
, “Wave Propagation in Rectangular Prismatic Bars Subjected to Axial Impact
,” Izvestiya, Russian Academy of Sciences, Mekhanika Tverdogo Tela
, No. 6, pp. 176
–179
.2.
Ditkin, V. A. and Prudnikov, A. P., 1965, Integral Transforms and the Operational Calculus, Pergamon Press, New York.
3.
Doetsch, G., 1950, Handbuch der Laplace-Transformation, Vol. 2, Birkhauser Basel.
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by ASME
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