TY  - EJOU
AU  - Zhang, Tong-Yi 

TI  - Dielectric Breakdown Model For An Electrically Impermeable Crack In A Piezoelectric Material
T2  - Computers, Materials \& Continua

PY  - 2004
VL  - 1
IS  - 1
SN  - 1546-2226

AB  - The present work presents a strip Dielectric Breakdown (DB) model for an electrically impermeable crack in a piezoelectric material. In the DB model, the dielectric breakdown region is assumed to be a strip along the crack's front line. Along the DB strip, the electric field strength is equal to the dielectric breakdown strength. The DB model is exactly in analogy with the mechanical Dugdale model. Two energy release rates emerge from the analysis. An applied energy release rate appears when evaluating <i>J</i>-integral along a contour surrounding both the dielectric breakdown strip and the crack tip, whereas a local energy release rate appears when evaluating <i>J</i>-integral along an infinitesimal contour surrounding only the crack tip. Under small yielding conditions, the local energy release rate, if used as a failure criterion, gives a linear relationship between the applied stress intensity factor and the applied electric intensity factor.
KW  - 

DO  - 10.3970/cmc.2004.001.107