title: Unidirectional Transition Waves in Bistable Lattices.
abstract: 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.
authors.affiliation: Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, California 91125, USA.
authors.forename: Neel
authors.initials: N
authors.lastname: Nadkarni
authors.affiliation: School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47905, USA.|Department of Mechanical and Process Engineering, ETH Zurich, Zurich CH-8092, Switzerland.
authors.forename: Andres F
authors.initials: AF
authors.lastname: Arrieta
authors.affiliation: Department of Mechanical and Process Engineering, ETH Zurich, Zurich CH-8092, Switzerland.|Department of Mathematics, Bowdoin College, Brunswick, Maine 04011, USA.
authors.forename: Christopher
authors.initials: C
authors.lastname: Chong
authors.affiliation: Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, California 91125, USA.
authors.forename: Dennis M
authors.initials: DM
authors.lastname: Kochmann
authors.affiliation: Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, California 91125, USA.|Department of Mechanical and Process Engineering, ETH Zurich, Zurich CH-8092, Switzerland.
authors.forename: Chiara
authors.initials: C
authors.lastname: Daraio