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Essentially nonlinear strain waves in solids with complex internal structure. (English) Zbl 1189.74073
Ganghoffer, Jean-François (ed.) et al., Mechanics of microstructured solids. Cellular materials, fibre-reinforced solids and soft tissues. Papers based on the presentations at the 11th EUROMECH-MECAMAT conference, Torino, Italy, March 10–14, 2008. Berlin: Springer (ISBN 978-3-642-00910-5/hbk; 978-3-642-00911-2/ebook). Lecture Notes in Applied and Computational Mechanics 46, 119-126 (2009).
Summary: Analytical modeling of essentially nonlinear strain waves in solids is developed based on a proper assumption about their complex internal structure. The exact travelling solitary wave solutions are used as a tool to study nonlinear and dispersive features of the solid. Various scenarios are found of the propagation of the macro-strain localized waves and corresponding waves of structural deviations. It is found by explicit analytical relationships that they are realized depending upon the velocity of the wave. This may help to study the material properties by dynamical methods.
For the entire collection see [Zbl 1189.74006].

MSC:
74J30 Nonlinear waves in solid mechanics
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