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A phenomenological cohesive model of ferroelectric fatigue

Summary: A phenomenological cohesive model of
ferroelectric fatigue
I. Arias b
S. Serebrinsky a, M. Ortiz a
aDivision of Engineering and Applied Science, California Institute of Technology,
Pasadena, CA 91125, USA
bDep. de Matem`atica Aplicada III, Universitat Polit`ecnica de Catalunya,
Barcelona 08034, Spain
We develop a phenomenological model of electro-mechanical ferroelectric fatigue
based on a ferroelectric cohesive law that couples mechanical displacement and
electric-potential discontinuity to mechanical tractions and surface-charge density.
The ferroelectric cohesive law exhibits a monotonic envelope and loading-unloading
hysteresis. The model is applicable whenever the changes in properties leading to
fatigue are localized in one or more planar-like regions, modelled by the cohesive
surfaces. We validate the model against experimental data for a simple test configu-
ration consisting of an infinite slab acted upon by an oscillatory voltage differential
across the slab and otherwise stress free. The model captures salient features of
the experimental record including: the existence of a threshold nominal field for the
onset of fatigue; the dependence of the threshold on the applied-field frequency; the


Source: Arias, Irene - Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya


Collections: Engineering; Materials Science