On the dynamics of electromagnetic bodies

Abstract

The electromagnetic fields in a vacuum or in a body are ruled by the Maxwell equations. The mechanical behaviour of materials is governed by the balance equations of mechanics, which are possibly coupled with the Maxwell equations. Notions such as stress and momentum can be associated with the electromagnetic fields. Unfortunately, there is no general agreement on the proper form that these quantities should have in a material body. However, if the equations of mechanics and the Maxwell equations are consistently derived from a general principle, stresses and momenta are properly selected in a natural way. In this context, the electromagnetic Eshelby tensor is also introduced in a natural way

Giant voltage-induced deformation in dielectric elastomers near the verge of snap-through instability

“…Along with the rapid advances in developing dielectric elastomers, the nonlinear field theory of deformable dielectrics has gained renewed attention (e.g., Dorfmann and Ogden, 2005;McMeeking and Landis, 2005;Goulbourne et al, 2005;Wissler and Mazza, 2005a;Vu et al, 2007;Suo et al, 2008;O'Brien et al, 2009;Trimarco, 2009). The theory has a remarkably simple structure: fundamental field equations are identical to those in elasticity and electrostatics, while electromechanical coupling enters the theory exclusively from material models.…”

Voltage-Induced Wrinkling in a Constrained Annular Dielectric Elastomer Film

“…In most of the applications, large deformation in DEs can be ubiquitously observed. General three-dimensional (3D) models for the finite deformation of DEs under the actions of an arbitrary field of electrical potential and forces have been formulated by different researchers [12][13][14][15][16][17][18]. Numerous phenomena associated with the electromechanical coupling in DEs have been successfully analyzed using these developed models, such as the pull-in instability in a DE membrane sandwiched by two compliant electrodes [19][20][21], voltage-induced creasing and cratering instabilities in a constrained DE layer [22], giant deformation and shape bifurcation in DE balloons [23,24], and instabilities in layered soft dielectrics [25,26].…”

Computational Model of Hydrostatically Coupled Dielectric Elastomer Actuators (Preprint)

“…Eringen [22], and Tiersten [23]. The theory has been re-examined in recent years in light of the intense development of dielectric elastomer transducers [16,[24][25][26][27][28][29][30][31]. Here we focus on membranes of dielectric elastomers undergoing axisymmetric deformation [16][17][18][19][20].…”

“…As evident from the above discussion, (26) and (27) are applicable only to ideal dielectric elastomers. The model of ideal dielectric elastomers is nearly exclusively used in previous analysis of dielectric elastomers [16,[24][25][26][27][28][29][30][31][35][36][37][38][39][40]. Further discussion of the model of ideal dielectric elastomers and other material models can be found in [5].…”