Abstract
We will interpret a transient wave (a surface of strong discontinuity) in a thin-walled beam of open section as a plane wave taking a pattern of the beam’s profile and propagating perpendicular to its cetroidal axis. Such a wave could be named as a ‘beam-like wave’. During the transition through the wave surface the displacement fields remain continuous, while the fields of stresses, deformations and velocities of particle’s displacements are discontinuous across this surface.
For the fields, which experience the discontinuities, there exist the geometrical, kinematic and dynamic conditions of compatibility [1].
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Reference
T.Y. Thomas, Plastic flow and fracture in solids, (Academic Press, New York, 1961)
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© 2011 Yury A. Rossikhin
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Rossikhin, Y.A., Shitikova, M.V. (2011). Peculiarities of Transient Wave Propagation in Thin-Walled Beams of Open Section. In: Dynamic Response of Pre-Stressed Spatially Curved Thin-Walled Beams of Open Profile. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20969-7_6
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DOI: https://doi.org/10.1007/978-3-642-20969-7_6
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-20969-7
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