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- Title
Two semi-permeable equal collinear cracks weakening a piezoelectric plate - A study using complex variable technique.
- Authors
Bhargava, R. R.; Jangid, Kamlesh; Verma, Pooja Raj
- Abstract
In this paper, a mode-I crack problem is address for a piezoelectric plate cut along two-equal-collinear semi-permeable cracks. The plate being subjected to combined in-plane mechanical and electric displacement loads, respectively. Problem is formulated using Stroh formalism and solved using complex variable technique. Closed form expressions are derived for crack opening displacement, crack opening potential drop, field intensity factors, mechanical and total energy release rates. Theoretical derivations are validated by exact solutions existing in literature. Numerical examples considered for poled ceramics PZT-4, PZT-5H, and PZT-7A show the effect of applied mechanical and electrical displacement loadings on field intensity factors, mechanical and total energy release rates. Moreover, the effect of inter-crack distance as well as different types of crack-face electric boundary conditions on field intensity factors, mechanical and total energy release rates are presented graphically, discussed, and concluded.
- Subjects
ELECTRIC displacement; GEOMETRIC function theory; DISPLACEMENT currents (Electric); PHYSIOGNOMY; INDUSTRIAL chemistry
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015, Vol 95, Issue 1, p66
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/zamm.201300109