Magneto-electro-elastic analysis for two mode-III semi-permeable collinear cracks in piezo-electro-magnetic strip

Int. J. Math. Model. Numer. Optimisation Pub Date : 2020-03-13 DOI:10.1504/ijmmno.2020.10027649

Pooja Raj Verma, R. Verma

{"title":"Magneto-electro-elastic analysis for two mode-III semi-permeable collinear cracks in piezo-electro-magnetic strip","authors":"Pooja Raj Verma, R. Verma","doi":"10.1504/ijmmno.2020.10027649","DOIUrl":null,"url":null,"abstract":"A mode-III crack problem for piezo-electro-magnetic strip weakened by two transversely oriented semi-permeable collinear cracks under out-of-plane shear stress and in-plane electric-displacement and magnetic induction is addressed. The problem is formulated and then solved using Fourier series method and integral equation technique. Closed-form analytic expressions are derived for various fracture parameters viz. crack sliding displacement, crack opening potential drop, crack opening induction drop, field intensity factors and energy release rates. Numerical case study is presented graphically for BaTiO3-CoFe2O4 piezo-electro-magnetic material to show the influence of inter-crack distance, volume fractions and electro-magnetic crack-face boundary conditions on crack sliding displacement, crack opening potential drop, crack opening induction drop and energy release rates. Moreover, the effect of prescribed mechanical loadings as well as electro-magnetic loadings on energy release rates are also presented graphically. Results obtained are presented graphically, analyzed and concluded.","PeriodicalId":13553,"journal":{"name":"Int. J. Math. Model. Numer. Optimisation","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Model. Numer. Optimisation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijmmno.2020.10027649","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

Abstract

A mode-III crack problem for piezo-electro-magnetic strip weakened by two transversely oriented semi-permeable collinear cracks under out-of-plane shear stress and in-plane electric-displacement and magnetic induction is addressed. The problem is formulated and then solved using Fourier series method and integral equation technique. Closed-form analytic expressions are derived for various fracture parameters viz. crack sliding displacement, crack opening potential drop, crack opening induction drop, field intensity factors and energy release rates. Numerical case study is presented graphically for BaTiO3-CoFe2O4 piezo-electro-magnetic material to show the influence of inter-crack distance, volume fractions and electro-magnetic crack-face boundary conditions on crack sliding displacement, crack opening potential drop, crack opening induction drop and energy release rates. Moreover, the effect of prescribed mechanical loadings as well as electro-magnetic loadings on energy release rates are also presented graphically. Results obtained are presented graphically, analyzed and concluded.

查看原文本刊更多论文

压电带材两种iii型半透共线裂纹的磁电弹性分析

研究了在面外剪应力和面内电位移和磁感应作用下，由两个横向半渗透共线裂纹削弱的压电磁条的iii型裂纹问题。利用傅里叶级数法和积分方程技术对该问题进行了表述和求解。导出了裂纹滑动位移、裂纹张开势降、裂纹张开感应降、场强因子和能量释放率等断裂参数的封闭解析表达式。以BaTiO3-CoFe2O4压电电磁材料为例进行了数值模拟，分析了裂纹间距、体积分数和电磁裂纹面边界条件对裂纹滑动位移、裂纹张开势降、裂纹张开感应降和能量释放率的影响。此外，还给出了规定的机械载荷和电磁载荷对能量释放率的影响。对所得结果进行了图解、分析和总结。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Int. J. Math. Model. Numer. Optimisation

自引率

0.00%

发文量