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A fracture criterion for conducting cracks in homogeneously poled piezoelectric PZT-PIC 151 ceramics
Authors:V Heyer  GA Schneider  H Balke  J Drescher  H-A Bahr
Affiliation:

a Technical University Hamburg–Harburg, Advanced Ceramics Group, Denickestrasse 15, D-21073 Hamburg, Germany

b Dresden University of Technology, Mommsenstraße 13, D-01069 Dresden, Germany

Abstract:A fracture criterion for conducting cracks in piezoelectric ceramics under combined electrical and mechanical loads is proposed in connection with a measured material specific fracture curve of PZT-PIC 151. The characteristic fracture curve of the investigated material is a function of the stress intensity factor, KI, which is known from fracture mechanical concepts, and the recently defined electric field intensity factor, KE, for conducting cracks. A four-point-bending device for fracture tests under combined electrical and mechanical loads serves as the experimental set-up. The measured quantities, force, displacement, applied voltage and crack length, are used to evaluate the experiments. The finite element method (FEM) was used to determine the mechanical stress intensity factor, KI, and the electric field intensity factor, KE, taking into account linear piezoelectric coupling in the material. A qualitative process zone model is proposed for a physical interpretation of the fracture curve.
Keywords:Ceramic materials  Piezoelectric materials  Cracks  Fracture testing  Stress intensity factors  Electric field effects  Electric conductivity of solids  Finite element method  Stress analysis  Fracture mechanics  Conducting cracks  Piezoelectric ceramics  Four-point-bending device
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