Strip-coalesced interior zone model for two unequal collinear cracks weakening piezoelectric media.pdf
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Strip-coalesced interior zone model for two unequal collinear cracks weakening piezoelectric media.pdf
Appl. Math. Mech. -Engl. Ed., 35(10), 1249–1260 (2014) Applied Mathematics
DOI 10.1007/s10483-014-1890-9 and Mechanics
c
Shanghai University and Springer-Verlag
Berlin Heidelberg 2014 (English Edition)
Strip-coalesced interior zone model for two unequal collinear
cracks weakening piezoelectric media∗
R. R. BHARGAVA, K. JANGID
(Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India)
Abstract In this paper, a mathematical strip-saturation model is proposed for a poled
transversely isotropic piezoelectric plate weakened by two impermeable unequal-collinear
hairline straight cracks. Remotely applied in-plane unidirectional electromechanical loads
open the cracks in mode-I such that the saturation zone developed at the interior tips of
cracks gets coalesced. The developed saturation zones are arrested by distributing over
their rims in-plane normal cohesive electrical displacement. The problem is solved using
the Stroh formalism and the complex variable technique. The expressions are derived for
the stress intensity factors (SIFs), the lengths of the saturation zones developed, the crack
opening displacement (COD), and the energy release rate. An illustrative numerical case
study is presented for the poled PZT-5H ceramic to investigate the effect of prescribed
electromechanical loads on parameters affecting crack arrest. Also, the effect of different
lengths of cracks on the SIFs and the local energy release rate (LERR) has been studied.
The results obtained are graphically presented and analyzed.
Key words crack opening displacement (COD
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