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Finite deformations of a nonlinearly elastic electrosensitive tube reinforced by two fiber families

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Abstract

In this paper, the theory of nonlinear electroelasticity is used to examine deformations of a dielectric elastomer tube, reinforced by two families of helical fibers with different angles, with closed ends and compliant electrodes on its side surfaces. To illustrate the behavior of the fiber-reinforced tube, a specific form of electroelastic energy function is used for numerical purposes. Numerical dependences of the deformation on the non-dimensional potential difference between electrodes are obtained for the considered energy function. The influence of fiber stiffness and their angles on a response of the tube are analyzed. The presented theory and results may be of value in the development of soft robots and actuators.

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    Alexey M. Kolesnikov

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  1. Alexey M. Kolesnikov
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Correspondence to Alexey M. Kolesnikov.

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Communicated by Andreas Öchsner.

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Appendix

Appendix

See Figs. 8, 9, 10, 11, 12, and 13.

Fig. 8
figure 8

Plots of the dimensionless external radius \(b^*\), the dimensionless thickness \(h^*\), the twist angle \(\psi \) and the axial extension \(\lambda _z\) versus the dimensionless potential \(E_0^*\) for \(\gamma = 5\) and \(\Phi _1 = 0, \pi /16, \pi /8\)

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Fig. 9
figure 9

Plots of the dimensionless external radius \(b^*\), the dimensionless thickness \(h^*\), the twist angle \(\psi \) and the axial extension \(\lambda _z\) versus the dimensionless potential \(E_0^*\) for \(\gamma = 5\) and \(\Phi _1 = 3 \pi /16, \pi /4, 5\pi /16\)

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Fig. 10
figure 10

Plots of the dimensionless external radius \(b^*\), the dimensionless thickness \(h^*\), the twist angle \(\psi \) and the axial extension \(\lambda _z\) versus the dimensionless potential \(E_0^*\) for \(\gamma = 5\) and \(\Phi _1 = 3 \pi /8, 7 \pi /16, \pi /2\)

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Fig. 11
figure 11

Plots of the dimensionless external radius \(b^*\), the dimensionless thickness \(h^*\), the twist angle \(\psi \) and the axial extension \(\lambda _z\) versus the dimensionless potential \(E_0^*\) for \(\gamma = 100\) and \(\Phi _1 = 0, \pi /16, \pi /8\)

Full size image
Fig. 12
figure 12

Plots of the dimensionless external radius \(b^*\), the dimensionless thickness \(h^*\), the twist angle \(\psi \) and the axial extension \(\lambda _z\) versus the dimensionless potential \(E_0^*\) for \(\gamma = 100\) and \(\Phi _1 = 3 \pi /16, \pi /4, 5\pi /16\)

Full size image
Fig. 13
figure 13

Plots of the dimensionless external radius \(b^*\), the dimensionless thickness \(h^*\), the twist angle \(\psi \) and the axial extension \(\lambda _z\) versus the dimensionless potential \(E_0^*\) for \(\gamma = 100\) and \(\Phi _1 = 3 \pi /8, 7 \pi /16, \pi /2\)

Full size image

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Kolesnikov, A.M. Finite deformations of a nonlinearly elastic electrosensitive tube reinforced by two fiber families. Continuum Mech. Thermodyn. 34, 1237–1255 (2022). https://doi.org/10.1007/s00161-022-01118-3

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  • DOI: https://doi.org/10.1007/s00161-022-01118-3

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