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  1. Archives of Computational Methods in Engineering
  2. Archives of Computational Methods in Engineering : Volume 22
  3. Archives of Computational Methods in Engineering : Volume 22, Issue 2, April 2015
  4. Phase-Field Modeling of Fracture in Ferroelectric Materials
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Archives of Computational Methods in Engineering : Volume 24
Archives of Computational Methods in Engineering : Volume 23
Archives of Computational Methods in Engineering : Volume 22
Archives of Computational Methods in Engineering : Volume 22, Issue 4, November 2015
Archives of Computational Methods in Engineering : Volume 22, Issue 3, July 2015
Archives of Computational Methods in Engineering : Volume 22, Issue 2, April 2015
Phase-Field Modeling of Fracture in Ferroelectric Materials
Modelling Techniques for Vibro-Acoustic Dynamics of Poroelastic Materials
Multibody Approach to Musculoskeletal and Joint Loading
Numerical Methods for Solving the Cahn–Hilliard Equation and Its Applicability to Related Energy-Based Models
A Comparative Review of Building Information Modelling Implementation in Building and Infrastructure Industries
Archives of Computational Methods in Engineering : Volume 22, Issue 1, January 2015
Archives of Computational Methods in Engineering : Volume 21
Archives of Computational Methods in Engineering : Volume 20
Archives of Computational Methods in Engineering : Volume 19
Archives of Computational Methods in Engineering : Volume 18
Archives of Computational Methods in Engineering : Volume 17
Archives of Computational Methods in Engineering : Volume 16
Archives of Computational Methods in Engineering : Volume 15
Archives of Computational Methods in Engineering : Volume 14
Archives of Computational Methods in Engineering : Volume 13
Archives of Computational Methods in Engineering : Volume 12
Archives of Computational Methods in Engineering : Volume 11
Archives of Computational Methods in Engineering : Volume 10
Archives of Computational Methods in Engineering : Volume 9
Archives of Computational Methods in Engineering : Volume 8
Archives of Computational Methods in Engineering : Volume 7
Archives of Computational Methods in Engineering : Volume 6
Archives of Computational Methods in Engineering : Volume 5
Archives of Computational Methods in Engineering : Volume 4

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Phase-Field Modeling of Fracture in Ferroelectric Materials

Content Provider Springer Nature Link
Author Abdollahi, Amir Arias, Irene
Copyright Year 2014
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.
Starting Page 153
Ending Page 181
Page Count 29
File Format PDF
ISSN 11343060
Journal Archives of Computational Methods in Engineering
Volume Number 22
Issue Number 2
e-ISSN 18861784
Language English
Publisher Springer Netherlands
Publisher Date 2014-06-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Ferroelectricity Piezoelectricity Fracture Phase-field models Polycrystals Finite element analysis Domain switching ApplicationMathematics/Computational Methods of Engineering
Content Type Text
Resource Type Article
Subject Applied Mathematics Computer Science Applications
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