Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 136, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2019.07.004
Keywords
Transition waves; Bistability; Non-linear dynamics
Funding
- National Science Foundation [DMR-1420570, EFMA-1741685]
- Army Research Office [W911NF-17-1-0147]
- program Acoustics Hub - Connect Talent grant of the Region Pays de la Loire
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We propose an analytical framework to study the propagation of transition waves in one-dimensional free-standing lattices comprising concentrated masses and bistable springs. Starting from the discrete model, we derive the partial differential equation that describes the non-linear dynamic response of the system and obtain its exact closed-form solution. Such solution enables us to uncover the effect of the systems parameters on the characteristics of the supported transition waves as well as to characterize the rarefaction front that precedes the pulse. As such, this work provides new opportunities to elucidate how transition waves propagate in systems in which the phase transition results in macroscopic volumetric changes. (C) 2019 Elsevier Ltd. All rights reserved.
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