Fracture analysis of two unequal collinear cracks weakening a piezo-electromagnetic media via complex variable approach

Article type: Research Article

Authors: Jangid, Kamlesh^a;

Affiliations: [a] Rajasthan Technical University, Department of HEAS (Mathematics), Kota, India E-mail: jangidkamlesh7@gmail.com

Correspondence: [*] E-mail: jangidkamlesh7@gmail.com

Abstract: In this paper, the problem of two unequal collinear semi-permeable cracks in a piezo-electromagnetic media is proposed and addressed mathematically using a complex variable technique. The problem is mathematically modeled as a non-homogeneous Riemann–Hilbert problem in terms of unknown complex potential functions. The solutions to the fracture parameters are obtained in explicit forms by solving the Hilbert problem. An illustrative numerical case study is presented for poled BaTiO3-CoFe2O4 ceramic cracked plate to show the effect of volume fractions, prescribed loads and inter-crack distance on fracture parameters.

Keywords: Complex variable, intensity factor, piezo-electromagnetic ceramic, semi-permeable cracks

DOI: 10.3233/SFC-200249

Journal: Strength, Fracture and Complexity, vol. 13, no. 1, pp. 15-30, 2020