Electrostriction in elastic dielectrics undergoing large deformation

By Xuanhe Zhao, Zhigang Suo. 2008

282 citations recorded by the source corpus.

We develop a thermodynamic model of electrostriction for elastic dielectrics capable of large deformation. The model reproduces the classical equations of state for dielectrics at small deformation, but shows that some electrostrictive effects negligible at small deformation may become pronounced at large deformation. The model is then specialized to account for recent experiments with an elastomer, where the electric displacement is linear in the electric field when the strain of the elastomer is held fixed, but the permittivity changes appreciably when the strain changes. Our model couples this quasilinear dielectric behavior with nonlinear elastic behavior. We explore the consequence of the model by deriving conditions under which the deformation-dependent permittivity suppresses electromechanical instability.

Subfields: Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9c801bbd0c106872f8d29bdfd6d502dc1d793e2b

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Citations in the corpus

Modeling Viscoelastic Dielectrics (2011, background): “The framework of the nonlinear field theory has yielded various finite-element implementations that further enable numerical simulation of dielectric elastomers under complex working conditions (Zhou et al., 2008; Zhao and Suo, 2008b).”
Effect of mechanical pre-stretch on the stabilization of dielectric elastomer actuation (2011, background): “For a VHB film, a commercially available dielectric elastomer, its dielectric constant is closely related to the deformation, as reported previously [6], therefore electrostriction will be generated in the actuation and hence acts on the stabilization [16].”
Increasing the performance of dielectric elastomer actuators: A review from the materials perspective (2015, background): “contribution can be easily checked by the increment in the dielectric permittivity of the elastomer when pre-strained [57, 58].”
Flexoelectricity in soft materials and biological membranes (2014, background): “Although mathematically similar, electrostriction and “Maxwell stress” have different physical origins (Zhao and Suo, 2008).”
Resonant behavior of a membrane of a dielectric elastomer (2010, methodology): “The nonlinear theory described in Section 2 has been embedded in the finite element software ABAQUS with a user-supplied subroutine (Zhao and Suo, 2008b).”
Theory of dielectric elastomers (2010, unknown): “上述分类 ( 图 13) 很好解释了已有实验现象 , 并且给出了获得电致大变形的替代途径 [61] .”
Large deformation and electrochemistry of polyelectrolyte gels (2010, unknown): “This approach allows the theory to readily include more complex electromechanical interactions (Zhao et al., 2007; Zhao and Suo, 2008).”
Instabilities in multilayered soft dielectrics (2011, methodology): “2 Loss of positive definiteness of the tangent electroelastic constitutive operator For the considered principal equilibrium path loss of positive definiteness of the tangent electroelastic constitutive operator can be investigated using directly the constitutive equations (48) and (49).”
Giant voltage-induced deformation in dielectric elastomers near the verge of snap-through instability (2013, background): “See also Zhao and Suo (2008) and Li et al. (2012) for models of non-ideal dielectric elastomers.”