WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS:EXACT SOLUTION |
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Authors: | Weiqiu Chen Huihui Dai |
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Affiliation: | Weiqiu Chen 1,2 Huihui Dai 3(1 Soft Matter Research Center(SMRC),Zhejiang University,Hangzhou 310027,China)(2 Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China)(3 Department of Mathematics,City University of Hong Kong,Kowloon,Hong Kong,China) |
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Abstract: | This paper studies wave propagation in a soft electroactive cylinder with an underlying finite deformation in the presence of an electric biasing field.Based on a recently proposed nonlinear framework for electroelasticity and the associated linear incremental theory,the basic equations governing the axisymmetric wave motion in the cylinder,which is subjected to homogeneous pre-stretches and pre-existing axial electric displacement,are presented when the electroactive material is isotropic and incompressible.Exact wave solution is then derived in terms of(modified) Bessel functions.For a prototype model of nonlinear electroactive material,illustrative numerical results are given.It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics. |
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Keywords: | electroelastic waves finite pre-stretch soft electroactive cylinder dispersion relation |
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