1. Dispersive waves in microstructured solids
- Author
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Kert Tamm, Tanel Peets, Andrus Salupere, Arkadi Berezovski, Jüri Engelbrecht, and Mihhail Berezovski
- Subjects
Materials science ,Wave propagation ,business.industry ,Applied Mathematics ,Mechanical Engineering ,Mechanics ,Dispersion ,Condensed Matter Physics ,Formalism (philosophy of mathematics) ,Optics ,Materials Science(all) ,Mechanics of Materials ,Modelling and Simulation ,Modeling and Simulation ,Microstructured solids ,Internal variable ,General Materials Science ,Boundary value problem ,business - Abstract
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.
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