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Luis Dorfmann's blog

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New Directions in Large Deformation Solid Mechanics

We write to invite your participation in the symposium on New Directions in Large Deformation Solid Mechanics to be held at Texas A&M University campus in College Station as part of the 44th Annual Technical Meeting of the Society of Engineering Science, October 21–24, 2007. The purpose of this symposium is to address and outline new directions in large deformation solid mechanics and to furnish a forum for discussions on a wide range of research in all fields comprising modern mechanics.

Luis Dorfmann, Ray Ogden, Alan Wineman

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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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