Adjustable solitary waves in electroactive rods

Wang, Y.Z.; Zhang, C.L.; Dai, Hui–Hui; Chen, W.Q.

doi:10.1016/j.jsv.2015.04.023

Cited by 15 publications

(10 citation statements)

References 28 publications

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“…If the dissipation is neglected, we can reduce the KdV-Burgers equation into the KdV equation. Furthermore, when λ 1 = 1, the KdV equation thus obtained is identical to the one in our previous paper 34 if the electroelastic coupling is neglected there.…”

Section: A Derivation Of the Kdv-burgers Equationsupporting

confidence: 75%

“…33 Recently, we theoretically investigated solitary waves propagating in electroactive rods, and found that the biasing electric field can be used to adjust the waves. 34 However, to the authors' knowledge, there are few works on nonlinear waves in pre-stretched structures composed of viscoelastic materials, which motivates the present work.…”

Section: Introductionmentioning

confidence: 94%

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Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods

2015

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The present paper theoretically investigates kink and kink-like waves propagating in pre-stretched Mooney-Rivlin viscoelastic rods. In the constitutive modeling, the Cauchy stress tensor is assumed to consist of an elastic part and a dissipative part. The asymptotic method is adopted to simplify the nonlinear dynamic equations in the limit of finite-small amplitude and long wavelength. Using the reductive perturbation method, we further derive the well-known far-field equation (i.e. the KdV-Burgers equation), to which two kinds of explicit traveling wave solutions are presented. Examples are given to show the influences of pre-stretch and viscosity on the wave shape and wave velocity. It is shown that pre-stretch could be an effective method for modulating the two types of waves. In addition, such waves may be utilized to measure the viscosity coefficient of the material. The competition between the effects of pre-stretch and viscosity on the kink and kink-like waves is also revealed.

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Section: A Derivation Of the Kdv-burgers Equationsupporting

confidence: 75%

Section: Introductionmentioning

confidence: 94%

Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods

2015

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“…can be modelled as pre-stressed hyperelastic cylindrical structures. Therefore, in order to evaluate the material properties or the pre-stressed state, detect the structural defects and fatigue cracks, realize tunable acoustic devices, and carry out the ultrasound elastography of soft thin-walled biological tissues, much effort has been devoted to the investigation of guided wave propagations in soft hollow cylinders with a pre-deformation within the framework of nonlinear elasticity theory [1,4,5,[11][12][13]. In fact, the small-on-large theory [1,10] has been employed to investigate the effect of a uniform extension or compression on the propagation of torsional, longitudinal, flexural or circumferential waves in hyperelastic solid or hollow cylinders [4,[14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

On propagation of axisymmetric waves in pressurized functionally graded elastomeric hollow cylinders

et al. 2018

Journal of Sound and Vibration

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Soft materials can be designed with a functionally graded (FG) property for specific applications.Such material inhomogeneity can also be found in many soft biological tissues whose functionality is only partly understood to date. In this paper, we analyze the axisymmetric guided wave propagation in a pressurized FG elastomeric hollow cylinder. The cylinder is subjected to a combined action of axial pre-stretch and pressure difference applied to the inner and outer

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“…from Eq. (39). Thus, we have the solution q    for which the wave is non-dispersive even when there exists a pure pre-stretch by the axial force only (seeing Fig.…”

Section: Analysis Of Incremental Wave Propagationmentioning

confidence: 94%

“…Inspired by the earlier works mentioned above, we have conducted a systematic investigation in recent years on wave propagation in soft materials and structures in various configurations [17,18,[37][38][39][40][41][42]. In this paper, we intend to show that the combination of large deformation and electromechanical coupling can lead to a very flexible and efficient way to tune the BGs by considering a simple phononic cylinder of soft electroactive elastomer with periodic electric boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Tuning Elastic Waves in Soft Phononic Crystal Cylinders Via Large Deformation and Electromechanical Coupling

Zhou

Bao

et al. 2018

Journal of Applied Mechanics

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Soft electroactive materials can undergo large deformation subjected to either mechanical or electrical stimulus, and hence, they can be excellent candidates for designing extremely flexible and adaptive structures and devices. This paper proposes a simple one-dimensional soft phononic crystal (PC) cylinder made of dielectric elastomer (DE) to show how large deformation and electric field can be used jointly to tune the longitudinal waves propagating in the PC. A series of soft electrodes, which are mechanically negligible, are placed periodically along the DE cylinder, and hence, the material can be regarded as uniform in the undeformed state. This is also the case for the uniformly prestretched state induced by a static axial force only. The effective periodicity of the structure is then achieved through two loading paths, i.e., by maintaining the longitudinal stretch and applying an electric voltage over any two neighboring electrodes or by holding the axial force and applying the voltage. All physical field variables for both configurations can be determined exactly based on the nonlinear theory of electroelasticity. An infinitesimal wave motion is further superimposed on the predeformed configurations, and the corresponding dispersion equations are derived analytically by invoking the linearized theory for incremental motions. Numerical examples are finally considered to show the tunability of wave propagation behavior in the soft PC cylinder. The outstanding performance regarding the band gap (BG) property of the proposed soft dielectric PC is clearly demonstrated by comparing with the conventional design adopting the hard piezoelectric material. One particular point that should be emphasized is that soft dielectric PCs are susceptible to various kinds of failure (buckling, electromechanical instability (EMI), electric breakdown (EB), etc.), imposing corresponding limits on the external stimuli. This has been carefully examined for the present soft PC cylinder such that the applied electric voltage is always assumed to be less than the critical voltage except for one case, in which we illustrate that the snap-through instability of the axially free PC cylinder made of a generalized Gent material may be used to efficiently trigger a sharp transition in the BGs.

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Adjustable solitary waves in electroactive rods

Cited by 15 publications

References 28 publications

Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods

Kink and kink-like waves in pre-stretched Mooney-Rivlin viscoelastic rods

On propagation of axisymmetric waves in pressurized functionally graded elastomeric hollow cylinders

Tuning Elastic Waves in Soft Phononic Crystal Cylinders Via Large Deformation and Electromechanical Coupling

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