TY - JOUR
T1 - A Study of Crack-Face Boundary Conditions for Piezoelectric Strip Cut Along Two Equal Collinear Cracks
AU - Bhargava , R. R.
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 - <p style="text-align: justify;">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.</p>