On implicit constitutive relations in elastic ferroelectrics

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A considerable effort is being made to foster the use of implicit constitutive relations in mechanics of the continuous medium. From this point of view, the class of elastic bodies extends to a much larger category than the classical Cauchy and Green elastic bodies. In this work, a subclass of the recently proposed classes of electro-elastic bodies is taken into consideration to propose models for elastic ferroelectrics. These models, even though they are not based on thermodynamical arguments, seem capable enough to provide the hysteretic behavior of ferroelectric materials.