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Dispersion and attenuation of guided SH waves in nematic elastomer plates under dual boundary conditions
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DOI：10.1088/1402-4896/ae64be.png)
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Abstract
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This study presents a systematic investigation into the dispersion and attenuation characteristics of guided shear horizontal (SH) waves in nematic elastomer (NE) plates under dual boundary conditions-fully free and fixed-free boundaries. A viscoelastic dynamic model incorporating director relaxation mechanisms is employed to derive the characteristic equations governing SH wave propagation. Most notably, the study identifies negative group velocities at low frequencies and shows that, in the present nematic elastomer plate, this behavior is closely associated with strong anomalous dispersion induced by the frequency-dependent constitutive response related to dynamic soft elasticity. The results demonstrate that wave characteristics (phase velocity, group velocity, and attenuation) are highly tunable by material anisotropy, director relaxation time, and plate thickness. Crucially, the wave propagation behavior is fundamentally governed by the boundary conditions, with phase velocity exhibiting monotonic growth under free boundaries and non-monotonic behavior under mixed boundaries. These findings establish a foundational framework for designing next-generation NE-based intelligent devices, such as tunable waveguides and resonant sensors, where precise control over elastic wave energy and dispersion is essential.
Keywords:
nematic elastomers
SH waves
viscoelasticity
director relaxation
negative group velocitiy
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