Phase transition resistance induced by locally resonant metastructures

Abstract

Based on the piecewise linear relation between the force and elongation of springs, the phase transition and its generating waves in mechanical metastructures are studied. With the Wiener-Hopf method, the governing equation of the transition wave is derived. External force compensations for defect springs are considered to describe the phase transition. Besides the condition that whether the phase transition can be generated, localized phase transition is discussed. Furthermore, finite element simulation and experiment are performed to show the dynamic phase transition. It can be concluded that the locally resonant metastructures can enhance the resistance of phase transition. This research is expected to be helpful to design new kinds of elastic wave metastructures and metamaterials to improve phase transition strength.