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The electrical potential difference across cracks in PZT measured by Kelvin Probe Microscopy and the implications for fracture
Affiliation:1. Advanced Ceramics Group, Technical University of Hamburg-Harburg, 21073 Hamburg, Germany;2. Department of Mechanical and Environmental Engineering and Materials Department, University of California, Santa Barbara, CA 93106, USA;1. CNR- ISTEC, Istituto di Scienza e Tecnologia dei Materiali Ceramici, Via Granarolo 64, I-48018 Faenza, Italy;2. Faculty of Physics, A. I. Cuza University, Blvd. Carol I 11, 700506 Iasi, Romania;1. Institute of Nuclear Energy Research, No. 1000, Wunhua Road, Jiaan Village, Lungtan, Township, Taoyuan County 32546, Taiwan;2. Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei 106, Taiwan;1. Nano-Optoelectronic Research (NOR) Lab, School of Physics, Universiti Sains Malaysia, 11800 Gelugor, Pulau Pinang, Malaysia;2. Centre of Nanoscience and Nanotechnology (NANO‐SciTech Centre), Institute of Science, Universiti Teknologi MARA, 40450 Shah Alam, Selangor, Malaysia;3. Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia;1. Structures Group, ISRO Satellite Centre (ISAC), Indian Space Research Organization, Vimanapura Post, Bangalore 560017, India;2. Department of Applied Mechanics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India;3. Department of Mechanical and Industrial Engg., Faculty of Applied Science & Engg., University of Toronto, Toronto, Ontario, Canada;1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China;2. Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta T6G 1H9, Canada
Abstract:An indentation crack in a poled PZT ceramic subjected to an electric field is investigated using AFM and KFM to determine the crack opening displacement and the electrical potential difference across the crack. The experimental results are used to calculate the crack tip stress and dielectric displacement intensity factors and the crack tip energy release rate. From the applied electric field and the measured field interior to the crack, the dielectric constant of the crack interior is determined to be 40. The consequences of this permittivity on the crack tip energy release rate are illustrated for a Griffith crack. The theoretically predicted effect of an applied electric field in retarding crack growth decreases significantly with increasing permittivity. In practical situations in terms of crack length, applied load and electric field level, the retardation of crack growth is negligible when the dielectric constant of the crack interior is higher than 20.
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