Hysteresis in deformable ferro-electroelastic materials
DOI:
https://doi.org/10.1478/AAPP.1012A13Parole chiave:
Deformable ferroelectrics, Constitutive rate equations, Thermodynamic consistency, Electro-mechanical coupling, Ferro-electric hysteresis.Abstract
Within the framework of continuum thermodynamics, the paper develops rate-type models of deformable piezo-ferroelectric materials with the purpose of modeling hysteresis and electro-mechanical cross couplings. To this end constitutive functions are assumed to depend on a set of variables that includes their time derivatives. In order to obtain constitutive equations which are form-invariant within the set of Euclidean frames we follow an invariant formulation in which Lagrangian (or material) rather than Eulerian variables are used. While the second law states that the entropy production is non-negative for every admissible thermodynamic process, here the entropy production is viewed as a non-negative constitutive function.Dowloads
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2023-08-29
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