In elastic metamaterials, local microstructural differences lead to non-local macroscopic interactions between stress-strain and momentum-velocity, known as Willis coupling, resulting in exotic wave phenomena such as asymmetric wave reflection and unidirectional transmission. Recently, it was discovered that the structural asymmetry induces additional macroscopic cross-coupling between the electrical field and momentum in piezoelectric metamaterials, known as electro-momentum coupling. This new form of coupling offers external control over elastic wave propagation in metamaterials via external electrical stimulus. In this work, we introduce a mechanism for tuning Willis and electro-momentum couplings in 1D piezoelectric metamaterials using a resistor-inductor-capacitor (RLC) shunt circuit by simply tuning the shunt resistance and inductance. Using analytical derivations, we demonstrate a considerable variation in cross-coupling coefficients near the resonant bandgap frequencies, which is controlled by the RLC circuit resonance and electrical damping. We then showcase tunable asymmetric wave propagation in 1D piezoelectric metamaterials with resonant shunts.
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