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

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          Abstract

          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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          Most cited references25

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          Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic

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            Analysis of strip electric saturation model of crack problem in piezoelectric materials

            T.C. Wang (2000)
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              Effect of electrical polarization saturation on stress intensity factors in a piezoelectric ceramic

              CQ Ru (1999)
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                Author and article information

                Contributors
                Journal
                AIMS Materials Science
                AIMS Materials Science
                AIMS Press
                2372-0484
                2372-0468
                10 November 2016
                : 3
                : 4
                : 1507-1519
                Affiliations
                [1 ] Department of Mathematics, Indian Institute of Technology, Roorkee-247667, India
                [2 ] Department of Humanities English & Applied Sciences, Rajasthan Technical University, Kota-324010, India
                Author notes
                Kamlesh Jangid, Email: jangidkamlesh7@ 123456gmail.com ; Tel: +91-9694434826.
                Article
                10.3934/matersci.2016.4.1507
                8783c6b7-0b6a-4c86-a47c-74c1b0e9ab36
                Copyright © 2016 by AIMS Materials Science

                This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/4.0/

                CC BY 3.0

                History
                : 25 August 2016
                : 31 October 2016
                Categories
                Research article

                Materials technology,Materials properties,Nanomaterials,Biomaterials & Organic materials,Materials science
                piezoelectric ceramics,crack sliding displacement,semi-permeable cracks,energy release rate,saturation zone

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