Abstract
In this chapter the incremental equations governing static electroelastic interactions are used to analyze the stability of a half-space of an electroelastic material subject to a pure homogeneous strain and an electric field normal to its plane boundary. The analysis is formulated for a general isotropic electroelastic energy function and for plane strain. The results are illustrated for a simple neo-Hookean electroelastic model. In particular, the critical stretch corresponding to loss of stability is obtained as a function of the electric field for a series of values of the material parameters included in the model. In general the half-space is more unstable when an electric field is applied compared with the classical problem in which the stability of a half-space is lost under compression parallel to its boundary, but for a range of values of the electric field and the material parameters, stability is enhanced. The problem of a plate of finite thickness is then analyzed and the stability characteristics determined in terms of the plate thickness for a plate with or without flexible electrodes.
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Dorfmann, L., Ogden, R.W. (2014). Electroelastic Stability. In: Nonlinear Theory of Electroelastic and Magnetoelastic Interactions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-9596-3_10
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DOI: https://doi.org/10.1007/978-1-4614-9596-3_10
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