Dispersive waves in microstructured solids

The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model des...

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Bibliographic Details
Published in:International journal of solids and structures 2013-06, Vol.50 (11-12), p.1981-1990
Main Authors: Berezovski, A., Engelbrecht, J., Salupere, A., Tamm, K., Peets, T., Berezovski, M.
Format: Article
Language:English
Subjects:
Boundary conditions
Dispersion
Dispersions
Formalism
Mathematical analysis
Mathematical models
Microstructured solids
Mindlin plates
Wave motion
Wave propagation
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Summary:The wave motion in micromorphic microstructured solids is studied. The mathematical model is based on ideas of Mindlin and governing equations are derived by making use of the Euler–Lagrange formalism. The same result is obtained by means of the internal variables approach. Actually such a model describes internal fields in microstructured solids under external loading and the interaction of these fields results in various physical effects. The emphasis of the paper is on dispersion analysis and wave profiles generated by initial or boundary conditions in a one-dimensional case.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2013.02.018