Volume 8, Issue 4
A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks

Adv. Appl. Math. Mech., 8 (2016), pp. 573-587.

Published online: 2018-05

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• Abstract

A problem of two equal, semi-permeable, collinear cracks, situated normal to the edges of an infinitely long piezoelectric strip is considered. Piezoelectric strip being prescribed out-of-plane shear stress and in-plane electric-displacement. The Fourier series and integral equation methods are adopted to obtain analytical solution of the problem. Closed-form analytic expressions are derived for various fracture parameters viz. crack-sliding displacement, crack opening potential drop, field intensity factors and energy release rate. An numerical case study is considered for poled PZT−5H, $BaTiO_3$ and PZT−6B piezoelectric ceramics to study the effect of applied electro-mechanical loadings, crack-face boundary conditions as well as inter-crack distance on fracture parameters. The obtained results are presented graphically, discussed and concluded.

• Keywords

Collinear cracks, Fourier series method, piezoelectric strip, semi-permeable crack.

• AMS Subject Headings

65M10, 78A48

• BibTex
• RIS
• TXT
@Article{AAMM-8-573, author = {R. R. Bhargava , and Verma , Pooja Raj}, title = {A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {4}, pages = {573--587}, abstract = {

A problem of two equal, semi-permeable, collinear cracks, situated normal to the edges of an infinitely long piezoelectric strip is considered. Piezoelectric strip being prescribed out-of-plane shear stress and in-plane electric-displacement. The Fourier series and integral equation methods are adopted to obtain analytical solution of the problem. Closed-form analytic expressions are derived for various fracture parameters viz. crack-sliding displacement, crack opening potential drop, field intensity factors and energy release rate. An numerical case study is considered for poled PZT−5H, $BaTiO_3$ and PZT−6B piezoelectric ceramics to study the effect of applied electro-mechanical loadings, crack-face boundary conditions as well as inter-crack distance on fracture parameters. The obtained results are presented graphically, discussed and concluded.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m866}, url = {http://global-sci.org/intro/article_detail/aamm/12104.html} }
TY - JOUR T1 - A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks AU - R. R. Bhargava , AU - Verma , Pooja Raj JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 573 EP - 587 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/aamm.2014.m866 UR - https://global-sci.org/intro/article_detail/aamm/12104.html KW - Collinear cracks, Fourier series method, piezoelectric strip, semi-permeable crack. AB -

A problem of two equal, semi-permeable, collinear cracks, situated normal to the edges of an infinitely long piezoelectric strip is considered. Piezoelectric strip being prescribed out-of-plane shear stress and in-plane electric-displacement. The Fourier series and integral equation methods are adopted to obtain analytical solution of the problem. Closed-form analytic expressions are derived for various fracture parameters viz. crack-sliding displacement, crack opening potential drop, field intensity factors and energy release rate. An numerical case study is considered for poled PZT−5H, $BaTiO_3$ and PZT−6B piezoelectric ceramics to study the effect of applied electro-mechanical loadings, crack-face boundary conditions as well as inter-crack distance on fracture parameters. The obtained results are presented graphically, discussed and concluded.

R. R. Bhargava & Pooja Raj Verma. (2020). A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks. Advances in Applied Mathematics and Mechanics. 8 (4). 573-587. doi:10.4208/aamm.2014.m866
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