Abstract
In nonlinear theories the axiom of equipresence requires all the effects of the same order to be taken account. In this paper the mathematical modelling of deformation waves in media is analysed involving nonlinear and dispersive effects together with accompanying phenomena caused by thermal or electrical fields. The modelling is based on principles of generalized continuum mechanics developed by G.A. Maugin. The analysis demonstrates the richness of models in describing the physical effects in media with complex properties.
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Acknowledgements
This research was supported by the EU through the European Regional Development Fund (project TK 124), by the Estonian Research Council (Project IUT 33-7, IUT 33-24, PUT 434) and by the French-Estonian Parrot programme. J. Engelbrecht, A. Salupere and A. Berezovski are indebted to G.A. Maugin for supporting their visits to the University of Marie and Pierre Curie.
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Engelbrecht, J., Salupere, A., Berezovski, A., Peets, T., Tamm, K. (2018). On Nonlinear Waves in Media with Complex Properties. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_13
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