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Published January 12, 2016 | Supplemental Material + Published
Journal Article Open

Extreme stiffness tunability through the excitation of nonlinear defect modes


The incremental stiffness characterizes the variation of a material's force response to a small deformation change. In lattices with noninteracting vibrational modes, the excitation of localized states does not have any effect on material properties, such as the incremental stiffness. We report that, in nonlinear lattices, driving a defect mode introduces changes in the static force-displacement relation of the material. By varying the defect excitation frequency and amplitude, the incremental stiffness can be tuned continuously to arbitrarily large positive or negative values. Furthermore, the defect excitation parameters also determine the displacement region at which the force-displacement relation is being tuned. We demonstrate this phenomenon experimentally in a compressed array of spheres tuning its incremental stiffness from a finite positive value to zero and continuously down to negative infinity.

Additional Information

©2016 American Physical Society. (Received 2 February 2015; revised manuscript received 7 December 2015; published 12 January 2016) We acknowledge support from the U.S.-AFOSR (Grant No. FA9550-12-1-0332) and the Army Research Office MURI U.S. ARO (Grant No. W911NF-09-1-0436).

Attached Files

Published - PhysRevE.93.010901.pdf

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