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One-dimensional microstructure dynamics. (English) Zbl 1189.74012
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, 21-28 (2009).
Summary: Dispersive wave propagation in solids with microstructure is discussed in the small-strain approximation and in the one-dimensional setting. It is shown that the generalizations of wave equation based on continualizations of discrete systems as well as on homogenization methods can be recovered in the framework of the internal variable theory in the case of non-dissipative processes.
For the entire collection see [Zbl 1189.74006].

74A60 Micromechanical theories
74A15 Thermodynamics in solid mechanics
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