Simulation of the ferroelectric hysteresis using a hybrid finite element formulation

Kurzhöfer, Ingo; Schröder, Jörg; Romanowski, H.

doi:10.1007/1-4020-5370-3_94

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“…In particular, straightforward volume-averaging strategies allowed studying representative stress versus strains curves as well as stress versus dielectric displacement plots to elaborate the overall hysteresis behaviour of the bulk specimen. Future research will deal with individual grain and domain geometries to further focus on intergranular effects, will consider coupled loading conditions, and will enhance the concept of a limit-time parameter, and long-term investigations will also deal with embedding the proposed framework into computational homogenization strategies, embedded, for instance, into an orientation-distribution approach as proposed in [45,46].…”

Section: Discussionmentioning

confidence: 99%

Two models to simulate rate-dependent domain switching effects—application to ferroelastic polycrystalline ceramics

Menzel

Arockiarajan

Sivakumar

2008

Smart Mater. Struct.

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The aim of this paper is to study rate-dependent switching in ferroelastic materials. More specifically, a micro-mechanically motivated model is embedded into an iterative three-dimensional and electromechanically coupled finite-element framework. An established energy-based criterion serves for the initiation of domain switching processes as based on reduction in (local) Gibbs free energy. Subsequent nucleation and propagation of domain walls is captured via a linear kinetics theory with rate-dependent effects being incorporated in terms of a deformation-dependent limit-time parameter. With this basic model in hand, two different switching formulations are elaborated in this work: on the one hand, a straightforward volume-fraction ansatz is applied with the volume-fraction value depending on the limit-time parameter; on the other hand, a reorientation-transformation formulation is proposed, whereby the orientation tensor itself is assumed to depend on the limit-time parameter. Macroscopic behaviour such as stress versus strain curves or stress versus electrical displacement graphs are obtained by applying straightforward volume-averaging techniques to the three-dimensional finite-element-based simulation results which provides important insights into the rate-dependent response of the investigated ferroelastic materials.

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Section: Discussionmentioning

confidence: 99%