Mathematical modelling for multiple straight cracks in piezoelectric ceramics

Article type: Research Article

Authors: Saifi, Irshad^a; | Akhtar, Naved^a | Hasan, Shehzad^a

Affiliations: [a] Department of Mathematics, Jamia Millia Islamia, New Delhi, India

Correspondence: [*] Corresponding author: Irshad Saifi, Department of Mathematics, Jamia Millia Islamia, New Delhi, India. E-mail: [email protected]

Abstract: Piezoelectric materials are widely used in electronic devices like sensors. In this study, a strip saturation zone model is provided for a transversely isotropic piezoelectric plate which is cut along three equal collinear impermeable cracks. The developed saturation zones are assumed to be subjected to the linearly varying electric displacement conditions. The problem is solved using Stroh formalism and the complex variable approach. Analytic closed-form expressions are obtained for fracture parameters including crack opening displacement, crack opening potential, and saturation zone length. A numerical study also presented showing the effect of linearly varying electric displacement on the saturation zone length.

Keywords: Piezoelectric materials, yield zones, saturation zones, crack opening displacement, multiple cracks

DOI: 10.3233/SFC-230010

Journal: Strength, Fracture and Complexity, vol. 16, no. 2, pp. 109-130, 2023