Abstract
One previously developed essentially nonlinear continuum model for a bi-atomic lattice is examined by comparing with the continuum limit of generalized Born-Huang model. It is found that these models do not correspond to each other, while the coefficients of the last model may be evaluated for real bi-atomic crystals. Some new features of the strain waves in the lattice are revealed on the basis of exact traveling wave solutions of the generalized Born-Huang model.
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Acknowledgments
The work has been supported by the Russian Foundation for Basic Researches, grants No 12-01-00521-a and 10-01-00243-a.
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Porubov, A., Aero, E., Andrievsky, B. (2013). Nonlinear Generalizations of the Born-Huang Model and Their Continuum Limits. In: Altenbach, H., Forest, S., Krivtsov, A. (eds) Generalized Continua as Models for Materials. Advanced Structured Materials, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36394-8_16
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DOI: https://doi.org/10.1007/978-3-642-36394-8_16
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