The mode III problem of a Dugdale-Barenblatt interfacial crack in a FGM strip bonded to a homogeneous strip by the integral method. (January 2020)

• Record Type: Journal Article
• Authors: Khelifi, Zaim Mohamed; Ferdjani, Hicheme; Brick Chaouche, Amine
• Is Part Of: Engineering fracture mechanics. Volume 223(2020)
• Publication Date: 2020-01
• Subjects: Dugdale-Barenblatt cohesive model -- FGM -- Non-homogeneity parameter -- Singular integral equation; 41 -- 44 -- 45 -- 65 -- 74; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2019.106781
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: More the non-homogeneity parameter β is high more the Fracture Load τ r is high. The non-homogeneity parameter β have a marked effect on τ r . More the substrate is stiff more the cohesive zone size is large. More the critical sliding displacement δ c is large more the cohesive zone is large. More the width of the FGM is large more τ r is sensitive to β . Abstract: The elasto-static anti-plane problem of a Dugdale-Barenblatt interfacial crack in a functionally graded strip bonded to a homogeneous substrate is formulated in term of a singular integral equation. The functionally graded strip is modeled with an exponentially variable shear modulus. The singular integral equation is solved using Tchebychev polynomials. The influence of the non-homogeneity parameter, the shear modulus of the homogeneous strip, the widths of the functionally graded strip and the homogeneous strip, and the critical sliding displacement jump in the Dugdale-Barenblatt cohesive model on the fracture load are discussed.