Unidirectional Transition Waves in Bistable Lattices
We present a model system for strongly nonlinear transition waves generated in a periodic lattice of bistable members connected by magnetic links. The asymmetry of the on-site energy wells created by the bistable members produces a mechanical diode that supports only unidirectional transition wave propagation with constant wave velocity. We theoretically justify the cause of the unidirectionality of the transition wave and confirm these predictions by experiments and simulations. We further identify how the wave velocity and profile are uniquely linked to the double-well energy landscape, which serves as a blueprint for transition wave control.
Additional Information© 2016 American Physical Society. (Received 29 October 2015; published 13 June 2016) The authors are thankful for discussions with P. G. Kevrekidis. N. N. and C. D. gratefully acknowledge financial support from the National Science Foundation (NSF) under Grant No. CMMI-1200319. The work of C. C. was partially supported by the ETH Zurich Foundation through the Seed Project ESC-A 06-14. The authors thank P. Ermanni for providing access to his experimental facilities and equipment; the DIC system was acquired thanks to the SNF R'Equip Grant No. 206021_150729 and the complementary ETH Scientific Equipment Programme. D. M. K. acknowledges support from NSF through CAREER Award No. CMMI-1254424. N. N. and A. F. A. would like to thank Giulio Molinari and Jean-Claude Tomasina for assistance in setting up the experiments.
Published - PhysRevLett.116.244501.pdf
Supplemental Material - NoWavePropagation.mov
Supplemental Material - StableWavePropagation.mov
Supplemental Material - SupplementalMaterial.pdf