Strip yield model for multiple straight cracks with coalesced yield zones: A theoretical study

Article type: Research Article

Authors: Hasan, S.^a; | Akhtar, N.^b | Shekhar, S.^a

Affiliations: [a] Department of Mathematics, Jamia Millia Islamia, New Delhi, India | [b] Department of Applied Sciences and Humanities, Jamia Millia Islamia, New Delhi, India

Correspondence: [*] Corresponding author: S. Hasan. E-mail: shasan@jmi.ac.in

Abstract: The paper presents a complicated case of coalescence of yield zones between two internal cracks out of four collinear straight cracks weakened an infinite isotropic plate. Two solutions are presented for the case of opening and closing of multiple cracks under general yielding conditions. Using these two solutions and the principle of superposition, we found the analytical expressions for load-bearing capacity of the plate using complex variable method. A numerical study has been carried out to investigate the behavior of yield zone length concerning remotely applied stresses at the boundary of the plate and the impact of two outer cracks on the propagation of inner cracks due to coalesced yield zones. Results obtained are reported graphically.

Keywords: Coalesced yield zone, dugdale model, multiple cracks, stress intensity factor

DOI: 10.3233/SFC-210276

Journal: Strength, Fracture and Complexity, vol. 14, no. 2, pp. 59-73, 2022