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Ajeet Kumar's picture

An electroelastic Kirchhoff rod theory incorporating free space electric energy

This work presents a geometrically exact Kirchhoff-like electroelastic rod theory wherein the contribution of free space energy is also factored in. In addition to the usual mechanical variables such as the rod's centerline and cross-section orientation, three electric potential parameters are also introduced to account for the variation in electric potential within the rod's cross-section as well as along the rod length. The free space energy is included through an electric flux-like variable acting on the lateral surface of the rod.

matthew.grasinger's picture

Statistical mechanics of a dielectric polymer chain in the force ensemble

Dear colleagues,

We invite you to see the preprint of our new paper "Statistical mechanics of a dielectric polymer chain in the force ensemble" that will appear in Journal of the Mechanics and Physics of Solids. Here we compute the electroelasticity of single polymer chains using both analytical approximations and novel MCMC techniques. Working in the fixed force ensemble facilitates the derivation of the analytical approximations, which are shown to agree well with the MCMC results. This work complements prior work on the statistical mechanics of dielectric polymers chains obtained in a different ensemble. (

matthew.grasinger's picture

Nonlinear statistical mechanics drives intrinsic electrostriction and volumetric torque in polymer networks

Dear colleagues,

We invite you to see the preprint of our new paper "Nonlinear statistical mechanics drives intrinsic electrostriction and volumetric torque in polymer networks" that will appear in Physical Review E. Here we use a nonlinear statistical mechanics approach to the electroelasticity of dielectric polymer chains and obtain a two-way coupling between chain deformation and dielectric response. This two-way coupling leads to electrically induced stresses and volumetric torques within an elastomer network which can be leveraged to develop higher efficiency soft actuators, electroactive materials, and novel electromechanical mechanisms. (

matthew.grasinger's picture

Architected Elastomer Networks for Optimal Electromechanical Response

Dear Colleagues,

This is the preprint of an article on the design of elastomer networks for optimal electromechanical response that will appear in JMPS. We explore how various structural properties of an elastomer network (e.g. density of cross-links, fraction of loose-end monomers, orientation density of chains, etc.) affects both its bulk elastic and dielectric properties, and its performance as an actuator. (


Luis Dorfmann's picture

Nonlinear Electroelastic Deformations

Electro-sensitive (ES) elastomers form a class of smart materials whose mechanical properties can be changed rapidly by the application of an electric field. These materials have attracted considerable interest recently because of their potential for providing relatively cheap and light replacements for mechanical devices, such as actuators, and also for the development of artificial muscles. In this paper we are concerned with a theoretical framework for the analysis of boundary-value problems that underpin the applications of the associated electromechanical interactions. We confine attention to the static situation and first summarize the governing equations for a solid material capable of large electroelastic deformations. The general constitutive laws for the Cauchy stress tensor and the electric field vectors for an isotropic electroelastic material are developed in a compact form following recent work by the authors. The equations are then applied, in the case of an incompressible material, to the solution of a number of representative boundary-value problems. Specifically, we consider the influence of a radial electric field on the azimuthal shear response of a thick-walled circular cylindrical tube, the extension and inflation characteristics of the same tube under either a radial or an axial electric field (or both fields combined), and the effect of a radial field on the deformation of an internally pressurized spherical shell.

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