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A Mode-III strip saturation model for two collinear semi-permeable cracks in a piezoelectric media

1 Department of Mathematics, Indian Institute of Technology, Roorkee-247667, India
2 Department of Humanities English & Applied Sciences, Rajasthan Technical University, Kota-324010, India

Special Issues: Interaction of Multiple Cracks in Materials -Volume 1

In this paper, a mode-III strip-saturation model is proposed for a piezoelectric ceramic plate weakened by two equal collinear, semi-permeable hairline cracks. A mathematical model is obtained using Stroh’s formalism and solved using matrix Hilbert problem. Analytic closed form expressions are derived for various fracture parameters such as crack sliding displacement, crack opening potential drop, field intensity factor and energy release rate. An illustrative numerical case study is presented for impermeable, semi-permeable and permeable crack face boundary conditions for different piezoceramics. The results obtained are presented graphically, discussed and concluded. It is observed that the model proposed is capable of crack arrest under small-scale electric saturation.
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Keywords crack sliding displacement; energy release rate; piezoelectric ceramics; saturation zone; semi-permeable cracks

Citation: R.R.Bhargava, Kamlesh Jangid, Pavitra Tripathi. A Mode-III strip saturation model for two collinear semi-permeable cracks in a piezoelectric media. AIMS Materials Science, 2016, 3(4): 1507-1519. doi: 10.3934/matersci.2016.4.1507

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This article has been cited by

  • 1. S. Singh, K. Sharma, R. R. Bhargava, Modified strip saturated models for two equal collinear cracks with coalesced zones in piezoelectric media, Applied Mathematics and Mechanics, 2019, 10.1007/s10483-019-2507-6
  • 2. Sandeep Singh, Kuldeep Sharma, R. R. Bhargava, Analytical solution for two equal collinear modified strip saturated cracks in 2‐D semipermeable piezoelectric media, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2019, 10.1002/zamm.201800244

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Copyright Info: 2016, Kamlesh Jangid, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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