Abstract
Continuum theories for electro-elastic solids suggest the development of electric field or polarization-based models. Advanced versions of these models are the so-called gradient models, i.e., polarization gradient and electric field gradient models, which prove to be more than capable of explaining the behavior of a continuum in a wider range of length scales. In this work, implicit constitutive relations for electro-elastic bodies are considered with the introduction of polarization and electric field gradient effects. In this sense, the new class of electro-elastic bodies extends even further to account for nonlocality in constitutive equations, besides strain-limiting behavior and polarization saturation for large values of stresses and electric field, respectively. Nonlocality in constitutive equations is essential in modeling various phenomena.
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Arvanitakis, A. Gradient effects in a new class of electro-elastic bodies. Z. Angew. Math. Phys. 69, 62 (2018). https://doi.org/10.1007/s00033-018-0959-0
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DOI: https://doi.org/10.1007/s00033-018-0959-0