Position Control and Detection of Domain Wall in Multi-stable Metamaterial*

In this presentation, we consider the dynamics of a domain wall (i.e., transition wavefront) in a multi-stable metamaterial on an elastic substrate. Under strain, the position of a transition wavefront can be precisely controlled, and then remotely determined. As an application, we propose a mechanical multi-level (i.e., high-density) memory device. Position control is achieved by a (strain-)tunable potential energy landscape that conveys the wavefront from one stabilizing defect site to another. Position determination is achieved by leveraging the distinct linear dynamics of the domains on either side of the wavefront: a harmonic wave injected with a frequency transparent in one domain will not pass into the opposing opaque domain, instead returning the with a time delay consistent with the wavefront position. In general, we anticipate that the concepts presented here toward a command of the transition wave position will enhance the development and applicability of transition waves in multi-stable metamaterials.