Four circular-arc cracks with coalesced yield zones in an infinite plate: A theoretical approach

Article type: Research Article

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

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

Correspondence: [*] Corresponding author. E-mail: [email protected]

Abstract: A theoretical study has been carried out to solve the problem of four circular-arc cracks (located on the circumference of a circle) with coalesced yield zones in an infinite elastic perfectly plastic plate. The most significant part of the crack configuration is the coalesced yield zones between pairs of cracks. A well known complex variable method is used to derive closed form expressions for stress intensity factor, displacement components and crack opening displacement. A numerical study is also carried out in this paper to investigate the effect of coalesced yield zones on the load bearing capacity of the plate when the boundary of the plate is subjected to different types of stress profiles.

Keywords: Circular-arc cracks, stress intensity factor, crack-tip opening displacement, Dugdale model, coalesced yield zones

DOI: 10.3233/SFC-180229

Journal: Strength, Fracture and Complexity, vol. 11, no. 4, pp. 279-294, 2018