A lumped model for rotational modes in periodic solid composites
Division of Computer, Electrical and Mathematical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST) - Thuwal 23955-6900, Saudi Arabia
Received: 21 June 2013
Accepted: 15 October 2013
We present a lumped model to study the rotational modes in a type of two-dimensional periodic solid composites comprised of a square array of rubber-coated steel cylinders embedded in an epoxy matrix. The model captures the physical essence of rotational modes in such systems for various combinations of material parameters, and, therefore it is able to describe the transition behaviour when the system is gradually adjusted from an elastic metamaterial to an elastic phononic crystal. From the model, we can define a transition zone which separates the typical elastic metamaterials and the phononic crystals.
PACS: 62.30.+d – Mechanical and elastic waves; vibrations / 62.65.+k – Acoustical properties of solids / 62.20.-x – Mechanical properties of solids
© EPLA, 2013