Kamotski, I;
Smyshlyaev, VP;
(2019)
Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials.
Journal of the Mechanics and Physics of Solids
, 123
10.1016/j.jmps.2018.08.024.
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Abstract
We consider elastic waves in a two-dimensional periodic lattice network of Timoshenko-type beams. We show that for general configurations involving certain highly-contrasting components a high-contrast modification of the homogenization theory is capable of accounting for bandgaps, explicitly relating those to low resonant frequencies of the “soft” components. An explicit example of a square-periodic network of beams with a single isolated resonant beam within a periodicity cell is considered in detail.
| Type: | Article |
|---|---|
| Title: | Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jmps.2018.08.024 |
| Publisher version: | https://doi.org/10.1016/j.jmps.2018.08.024 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Periodic lattices, Bandgaps, High-contrast homogenization |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10055058 |
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