Journal ArticleDOI
Influence of electric fields on the fracture of ferroelectric ceramics
Andreas Ricoeur,Meinhard Kuna +1 more
TLDR
In this paper, the fracture mechanics of piezoelectric solids were investigated and the influence of electric fields on the fracture toughness of ferroelectric ceramics and the derivation of an appropriate fracture criterion.Abstract:
This paper deals with the fracture mechanics of piezoelectric solids. All investigations consider a single crack, which is exposed to combined electrical and mechanical loading. The main subject of interest is the influence of electric fields on the fracture toughness of ferroelectric ceramics and the derivation of an appropriate fracture criterion. Numerical techniques are presented, allowing for the calculation of fracture quantities, i.e. stress intensity factors and energy release rates, once the piezoelectric field problem has been solved for arbitrary crack configurations using the finite element method. In order to describe a possible shielding of the crack tip due to ferroelectric/elastic domain switching events, a micromechanical model has been developed, based on a closed form solution of the piezoelectric field problem. In order to verify the theory, fracture experiments on barium titanate DCB specimens have been evaluated and compared to predictions of the model.read more
Citations
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Journal ArticleDOI
Fracture behaviors of piezoelectric materials
Tong-Yi Zhang,C.F. Gao +1 more
TL;DR: Theoretical analyses and experimental observations of the failure and fracture behaviors of piezoelectric materials are presented in this paper, where the theoretical analyses are based on the Stroh formalism.
Journal ArticleDOI
Fracture mechanics of piezoelectric materials – Where are we right now?
TL;DR: In this paper, the authors give a short overview and a critical discussion about the present state in the field of piezoelectric fracture mechanics, with emphasis on special features like anisotropy, mode mixture and electric properties of cracks.
Journal ArticleDOI
Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions
Amir Abdollahi,Irene Arias +1 more
TL;DR: In this paper, a family of phase-field models for fracture in piezoelectric and ferroelectric materials is presented, which couple a variational formulation of brittle fracture with the linear theory of piezo-lectricity, and a Ginzburg-Landau model of the microstructure to address the full complexity of the fracture phenomenon in these materials.
Journal ArticleDOI
Finite element analyses of cracks in piezoelectric structures: a survey
TL;DR: In this paper, a review of the state of the art of FEM to compute the coupled electromechanical boundary value problem of cracks in 2D and 3D piezoelectric structures under static and dynamic loading is presented.
Journal ArticleDOI
Finite Element Techniques for Dynamic Crack Analysis in Piezoelectrics
TL;DR: In this paper, a finite element algorithm was developed to analyze plane stationary cracks in piezoelectric structures under dynamic electromechanical loading conditions, which does not require any iteration.
References
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Journal ArticleDOI
On the use of isoparametric finite elements in linear fracture mechanics
TL;DR: In this paper, the inverse square root singularity of the plane eight noded isoparametric element has been used to calculate stress intensity factors of elastic fracture mechanics, including constant strain and rigid body motion modes.
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Fracture mechanics for piezoelectric ceramics
TL;DR: In this paper, the authors study cracks either in piezoelectrics, or on interfaces between the materials such as metal electrodes or polymer matrices, and derive the macroscopic field regarding the crack tip as a physically structureless point.
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Mechanics of Transformation‐Toughening in Brittle Materials
TL;DR: In this article, it is shown that the initial zone, prior to crack growth, provides no change in stress intensity. As the crack grows, the zone associated with a positive transformation strain induces a stress-intensity reduction that rises to a maximum level after some crack propagation.
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Some remarks on elastic crack-tip stress fields
TL;DR: In this paper, it was shown that if the displacement field and stress intensity factor are known as functions of crack length for any symmetrical load system acting on a linear elastic body in plane strain, then the stress intensity factors for any other symmetric load system whatsoever on the same body may be directly determined.