Fracture behaviors of piezoelectric materials

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Energetically consistent boundary conditions for electromechanical fracture (2004, methodology): “However, in this work we are interested in quasi-static behavior and hence the conductance of the gap is not the issue, but the amount of charge transferred during the discharge is. This model for discharge in the crack gap is analogous to the critical electric field model for electrical breakdown i”
Size-dependence of the dielectric breakdown strength from nano- to millimeter scale (2014, methodology): “This model is similar to the treatment of electrically conducting cracks in dielectrics and ferroelectrics (McMeeking 1990, Pak 1990, Heyer et al. 1998, Wang and Zhang 2001, Zhang and Gao 2004, Gehrig et al. 2008).”