Shape Bifurcation of a Spherical Dielectric Elastomer Balloon Under the Actions of Internal Pressure and Electric Voltage

Liang, Xudong; Cai, Shengqiang

doi:10.1115/1.4030881

Cited by 26 publications

(12 citation statements)

References 31 publications

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“…Localized electromechanical instabilities were demonstrated by observing voltage-induced wrinkling in a DE strip (Park et al, 2012) and an inflated DE balloon (Mao et al, 2015). A spherical DE balloon under internal pressure and electric voltage has been analyzed, with results showing that inhomogeneous viscoelastic deformation may cause timedependent failure modes (Wang H. et al, 2013), and bifurcation to a non-spherical shape may occur under certain electromechanical loading conditions (Liang and Cai, 2015). …”

Section: Influence Of Pre-stretch On De Performancementioning

confidence: 99%

Mechanics of dielectric elastomers: materials, structures, and devices

Qian

2016

JZUS-A

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Dielectric elastomers (DEs) respond to applied electric voltage with a surprisingly large deformation, showing a promising capability to generate actuation in mimicking natural muscles. A theoretical foundation of the mechanics of DEs is of crucial importance in designing DE-based structures and devices. In this review, we survey some recent theoretical and numerical efforts in exploring several aspects of electroactive materials, with emphases on the governing equations of electromechanical coupling, constitutive laws, viscoelastic behaviors, electromechanical instability as well as actuation applications. An overview of analytical models is provided based on the representative approach of non-equilibrium thermodynamics, with computational analyses being required in more generalized situations such as irregular shape, complex configuration, and time-dependent deformation. Theoretical efforts have been devoted to enhancing the working limits of DE actuators by avoiding electromechanical instability as well as electric breakdown, and pre-strains are shown to effectively avoid the two failure modes. These studies lay a solid foundation to facilitate the use of DE materials, structures, and devices in a wide range of applications such as biomedical devices, adaptive systems, robotics, energy harvesting, etc.

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Section: Influence Of Pre-stretch On De Performancementioning

confidence: 99%

Mechanics of dielectric elastomers: materials, structures, and devices

Qian

2016

JZUS-A

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“…However, it is noted that bifurcation instability may occur for a Mooney material subject to a voltage (Diaz-Calleja et al, 2009); a non-spherical shell can be found in the current configuration. Liang and Cai (2015) found a highly inhomogeneous electric field and stress/stretch distributions with a non-spherical shape and studied the stability analysis of a DE balloon in different equilibrium configurations. For a non-spherical configuration, the dynamical behavior will be more complicated.…”

Section: Theoretical Workmentioning

confidence: 99%

Typical dielectric elastomer structures: dynamics and application in structural vibration control

Huang

Jin

Ruan

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:In recent years, dielectric elastomer (DE) structures have received great attention in various fields of engineering, such as artificial muscle, soft robot, resonator, and structural vibration control, due to its prominent advantages. In the present paper, the theoretical and experimental research into the dynamical behavior of DE structures and their application for vibration control is reviewed. In the theoretical research into dynamical behavior, from a mechanics viewpoint, DE structures are usually categorized into four types, i.e., spherical, rectangular, tubular, and circular. For each type of DE structure, the mathematical description is given and the dynamical behavior, such as the resonant property, jump, and bifurcation, is summarized. Moreover, the work on dynamical experiments is briefly outlined. In the application for vibration control, stack-type and tubular-type DE structures usually used as actuators are surveyed. The established control algorithms for the controlled systems using DE actuators are described. The challenges for the research into the dynamics of DE structure and its application for vibration control and some promising theories which may be applied for the research are pointed out.

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“…A shooting method was adopted by Fu and Xie [16] to numerically solve Eq. (6), while a linear perturbation analysis was performed by Liang and Cai [21] to calculate critical conditions of Eq. (6).…”

Section: Spherical Balloon ( ∕ = 1)mentioning

confidence: 99%

“…Beyond the pure mechanical loading, the inflation of balloons under an electromechanical coupling field has been taken into account [17][18][19][20]. Liang and Cai [21] conducted a linear perturbation analysis on the spherical dielectric elastomer balloon under the actions of internal pressure and electric voltage, and revealed that the pear-shaped deformation becomes more obvious due to the contribution of electric field.…”

Section: Introductionmentioning

confidence: 99%

Snap-through instabilities of pressurized balloons: Pear-shaped bifurcation and localized bulging

Wang

Huo

et al. 2018

International Journal of Non-Linear Mechanics

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This paper investigates numerically the post-bifurcation evolution of ellipsoidal or spherical balloons subject to internal pressure, where the primary -shaped curves of pressure vs. principal stretch and the corresponding bifurcated branch, i.e. pear-shaped deformation, are captured quantitatively. We quantify and discuss the range of pear-shaped bifurcation intervals of ellipsoids and the associated critical points. For rugby-shaped ellipsoidal balloons, we find that there exists a threshold for the aspect ratio of the major and minor axes that leads to pear-shaped bifurcation, which is detected by the finite element method. When the rugby shape becomes sufficiently slender, the nonlinear response of the ellipsoidal balloons is well approximated by the deformation of a tube with localized bulging instead of pear-shaped configuration. We obtain the nonlinear evolution of the localized bulging of rugby-like ellipsoids numerically. Furthermore, we examine the influence of various aspect ratios for rugby-shaped balloons on the localized bulging response. We find that pumpkinshaped ellipsoids can always bifurcate into pear shape. Lastly, we provide a unified phase diagram on instability mode selection of various aspect ratios of ellipsoidal balloons, with diverse representative deformed configurations.

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Shape Bifurcation of a Spherical Dielectric Elastomer Balloon Under the Actions of Internal Pressure and Electric Voltage

Cited by 26 publications

References 31 publications

Mechanics of dielectric elastomers: materials, structures, and devices

Mechanics of dielectric elastomers: materials, structures, and devices

Typical dielectric elastomer structures: dynamics and application in structural vibration control

Snap-through instabilities of pressurized balloons: Pear-shaped bifurcation and localized bulging

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