Abstract
Essentially nonlinear proper structural model for continua with internal structure is analyzed using the localized strain wave solutions of the governing equations for macro- and micro-strains. The intervals of the velocity are found when either compression or tensile localized strain waves exist. It is obtained that simultaneous existence of compression and tensile macro-strain waves is impossible in contrast to the micro-strains responsible for the lattice defects. Also, it is shown that similar profiles of the macro-strain solitary waves may be accompanied by distinct profiles of the micro-strain waves. Generation of the bell-shaped defects in the lattice is studied numerically that allows us to describe structural deviations caused by the dynamical loading due to the localized macro-strain wave propagation.
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Porubov, A.V., Aero, E.L., Andrievsky, B.R. (2010). Dynamic Properties of Essentially Nonlinear Generalized Continua. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_17
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DOI: https://doi.org/10.1007/978-1-4419-5695-8_17
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