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A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting

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Abstract

In this contribution we present a phenomenological mesoscopic thermodynamically consistent model for the description of switching processes in ferroelectric materials that is able to describe the fundamental electromechanical hysteresis effects. The main goal is to develop a representation using the set of independent variables, the strains and the electric field, in a coordinate-invariant setting. This formulation is particularly suitable for the treatment of a variety of complex boundary-value problems (BVP) with regard to the essential boundary conditions. Here we restrict ourselves to transversely isotropic solids. The anisotropic behavior is governed by isotropic tensor functions that depend on a finite set of invariants. Thus the material symmetry requirements are automatically fulfilled.

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  1. Institut für Mechanik, Fachbereich Bauwissenschaften, Universität Duisburg-Essen, 45117, Essen, Universitätsstr. 15, Germany

    J. Schröder & H. Romanowski

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  1. J. Schröder
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  2. H. Romanowski
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Correspondence to J. Schröder.

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Schröder, J., Romanowski, H. A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting. Arch Appl Mech 74, 863–877 (2005). https://doi.org/10.1007/s00419-005-0412-7

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