Browsing Mathematics by Subject "WAVES"
Now showing items 1-5 of 5
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Actively controllable topological phase transition in phononic beam systems
(Elsevier, 2020-05-01)Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface) ... -
The effect of an exterior electric field on the instability of dielectric plates
(The Royal Society, 2020-07-29)We investigate the theoretical nonlinear response, Hessian stability, and possible wrinkling behaviour of a voltage-activated dielectric plate immersed in a tank filled with silicone oil. Fixed rigid electrodes are placed ... -
Electrostatically tunable axisymmetric vibrations of soft electro-active tubes
(Elsevier, 2020-05-28)Due to their unique electromechanical coupling properties, soft electro-active (SEA) resonators are actively tunable, extremely suitable, and practically important for designing the next-generation acoustic and vibration ... -
Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab
(Elsevier, 2018-09-21)We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and ... -
Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids
(The Royal Society, 2019-07-03)We study elastic shear waves of small but finite amplitude, composed of an anti-plane shear motion and a general in-plane motion. We use a multiple scales expansion to derive an asymptotic system of coupled nonlinear ...