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Elastic material with its elastic tensor losing minor symmetry is consideredimpossible without introducing artificially body torque. Here we demonstratethe feasibility of such material by introducing rotational resonance, theamplified rotational inertia of the microstructure during dynamical loadingbreaks naturally the shear stress symmetry, without resorting to external bodytorque or any other active means. This concept is illustrated through arealistic mass-spring model together with analytical homogenization techniqueand band structure analysis. It is also proven that this metamaterial model canbe deliberately tuned to meet the material requirement defined bytransformation method for full control of elastic wave, and the relationbridging the microstructure and the desired wave functionality is explicitlygiven. Application of this asymmetric metamaterial to design elastic wave cloakis demonstrated and validated by numerical simulation. The study paves the wayfor material design used to construct the transformation media for controllingelastic wave and related devices.

An asymmetric elastic metamaterial model for elastic wave cloaking