| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1900213 | Wave Motion | 2013 | 15 Pages |
Abstract
⺠Exact finite-strain dispersion relations are derived for wave motion in thin rods and beams. ⺠Derivations asymptotically converge to infinitesimal-strain dispersion relations at low frequencies and wave amplitudes. ⺠Results are relevant to problems involving large elastic motion such as waves produced by cracks and dislocations. ⺠Results demonstrate importance of incorporation of longitudinal-transverse motion coupling in nonlinear analysis of thin structures. ⺠Proposed approach can incorporate nonlinear constitutive laws and be extended to multi-dimensional media.
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Authors
Mohammad H. Abedinnasab, Mahmoud I. Hussein,