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Phase-Field Modeling of Fracture in Ferroelectric Materials

Phase-field modeling of fracture in ferroelectric materials
Authors: Abdollahi Hosnijeh, Amir; Arias Vicente, Irene;

Phase-Field Modeling of Fracture in Ferroelectric Materials

Abstract

This paper presents a family of phase-field models for the coupled simulation of the microstructure formation and evolution, and the nucleation and propagation of cracks in single and polycrystalline ferroelectric materials. The first objective is to introduce a phase-field model for ferroelectric single crystals. The model naturally couples two existing energetic phase-field approaches for brittle fracture and ferroelectric domain formation and evolution. Simulations show the interactions between the microstructure and the crack under mechanical and electromechanical loadings. Another objective of this paper is to encode different crack face boundary conditions into the phase-field framework since these conditions strongly affect the fracture behavior of ferroelectrics. The smeared imposition of these conditions are discussed and the results are compared with that of sharp crack models to validate the proposed approaches. Simulations show the effects of different conditions and electromechanical loadings on the crack propagation. In a third step, the model is modified by introducing a crack non-interpenetration condition in the variational approach to fracture accounting for the asymmetric behavior in tension and compression. The modified model makes it possible to explain anisotropic crack growth in ferroelectrics under the Vickers indentation loading. This model is also employed for the fracture analysis of multilayer ferroelectric actuators, which shows the potential of the model for future applications. The coupled phase-field model is also extended to polycrystals by introducing realistic polycrystalline microstructures in the model. Inter- and trans-granular crack propagation modes are observed in the simulations. Finally, and for completeness, the phase-field theory is extended to the simulation of the propagation of conducting cracks under purely electrical loading and to the three-dimensional simulation of crack propagation in ferroelectric single crystals. Salient features of the crack propagation phenomenon predicted by the simulations of this paper are directly compared with experimental observations.

Keywords

Elements finits, Finite element method, Polycrystals, Engineering, Civil, Finite element methods applied to problems in solid mechanics, Ferroelectricity, Mètode dels, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, Piezoelectricity, Elements finits, Mètode dels, Engineering, Multidisciplinary, finite element analysis, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, :Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC], phase-field models, Engineering, Ocean, domain switching, Engineering, Aerospace, Engineering, Biomedical, 65K Mathematical programming, piezoelectricity, Phase-field models, Finite element analysis, 65K Mathematical programming, optimization and variational techniques, Computer Science, Software Engineering, ferroelectricity, Engineering, Marine, Engineering, Manufacturing, Engineering, Mechanical, Domain switching, Fracture, Brittle fracture, Electromagnetic effects in solid mechanics, fracture, Engineering, Industrial, polycrystals, optimization and variational techniques

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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