High frequency homogenisation for elastic lattices

  title={High frequency homogenisation for elastic lattices},
  author={D. J. Colquitt and Richard V. Craster and Mehul P. Makwana},
  journal={Quarterly Journal of Mechanics and Applied Mathematics},
AbstractA complete methodology, based on a two-scale asymptotic approach, that enables the ho-mogenisation of elastic lattices at non-zero frequencies is developed. Elastic lattices are distin-guished from scalar lattices in that two or more types of coupled waves exist, even at low frequen-cies. Such a theory enables the determination of e ective material properties at both low and highfrequencies. The theoretical framework is developed for the propagation of waves through latticesof arbitrary… 

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