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Cracks generate the largest strain gradients that any material can withstand. Flexoelectricity (coupling between strain gradient and polarization) must therefore play an important role in fracture physics. Here we use a self-consistent continuum model to evidence two consequences of flexoelectricity in fracture: the resistance to fracture increases as structural size decreases, and it becomes asymmetric with respect to the sign of polarization. The latter phenomenon manifests itself in a range of intermediate sizes where piezo- and flexoelectricity compete. In <math>BaTiO_3</math> at room temperature, this range spans from <math>0.1 </math> to <math> 50 nm</math>, a typical thickness range for epitaxial ferroelectric thin films. | Cracks generate the largest strain gradients that any material can withstand. Flexoelectricity (coupling between strain gradient and polarization) must therefore play an important role in fracture physics. Here we use a self-consistent continuum model to evidence two consequences of flexoelectricity in fracture: the resistance to fracture increases as structural size decreases, and it becomes asymmetric with respect to the sign of polarization. The latter phenomenon manifests itself in a range of intermediate sizes where piezo- and flexoelectricity compete. In <math>BaTiO_3</math> at room temperature, this range spans from <math>0.1 </math> to <math> 50 nm</math>, a typical thickness range for epitaxial ferroelectric thin films. | ||
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| + | <pdf>Media:Abdollahi_et_al_2015b_7224_2015-PRB-APMACA-blanc.pdf</pdf> | ||
Latest revision as of 09:46, 3 March 2020
Abstract
Cracks generate the largest strain gradients that any material can withstand. Flexoelectricity (coupling between strain gradient and polarization) must therefore play an important role in fracture physics. Here we use a self-consistent continuum model to evidence two consequences of flexoelectricity in fracture: the resistance to fracture increases as structural size decreases, and it becomes asymmetric with respect to the sign of polarization. The latter phenomenon manifests itself in a range of intermediate sizes where piezo- and flexoelectricity compete. In at room temperature, this range spans from to , a typical thickness range for epitaxial ferroelectric thin films.
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Published on 01/01/2015
DOI: 10.1103/PhysRevB.92.094101
Licence: CC BY-NC-SA license
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