{"title":"Influence of polarization on two unequal semi-permeable cracks in a piezoelectric media","authors":"K. Jangid, R. Bhargava","doi":"10.3233/SFC-170205","DOIUrl":null,"url":null,"abstract":"In this paper, the influence of arbitrary poling direction on a cracked piezoelectric medium is studied. For this purpose, an infinite piezoelectric plate cut along to equal semipermeable collinear cracks is considered. Stroh’s formalism and complex variable technique are used to formulate the problem. The closed-form analytical expressions are derived for the various fracture parameters viz. crack opening displacement, crack opening potential drop, intensity factors, and energy release rate. Moreover, the quadratic equation is derived to find the electric displacement inside the crack gap media. For a poled PZT-5H ceramic plate, an illustrative numerical investigation is implemented to demonstrate the effect of arbitrary polarization on the various fracture parameters.","PeriodicalId":41486,"journal":{"name":"Strength Fracture and Complexity","volume":"10 1","pages":"129-144"},"PeriodicalIF":0.4000,"publicationDate":"2018-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3233/SFC-170205","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Strength Fracture and Complexity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/SFC-170205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, the influence of arbitrary poling direction on a cracked piezoelectric medium is studied. For this purpose, an infinite piezoelectric plate cut along to equal semipermeable collinear cracks is considered. Stroh’s formalism and complex variable technique are used to formulate the problem. The closed-form analytical expressions are derived for the various fracture parameters viz. crack opening displacement, crack opening potential drop, intensity factors, and energy release rate. Moreover, the quadratic equation is derived to find the electric displacement inside the crack gap media. For a poled PZT-5H ceramic plate, an illustrative numerical investigation is implemented to demonstrate the effect of arbitrary polarization on the various fracture parameters.
期刊介绍：
Strength, Fracture and Complexity: An International Journal is devoted to solve the strength and fracture unifiedly in non linear and systematised manner as complexity system. An attempt is welcome to challenge to get the clue to a new paradigm or to studies by fusing nano, meso microstructural, continuum and large scaling approach. The concept, theoretical and/or experimental, respectively are/is welcome. On the other hand the presentation of the knowledge-based data for the aims is welcome, being useful for the knowledge-based accumulation. Also, deformation and fracture in geophysics and geotechnology may be another one of interesting subjects, for instance, in relation to earthquake science and engineering.
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