Unconventional cracks with dislocation-free zones. (15th May 2022)

• Record Type: Journal Article
• Authors: Wang, Xu; Schiavone, Peter
• Is Part Of: International journal of solids and structures. Volume 243(2022)
• Publication Date: 2022-05-15
• Subjects: Unconventional crack -- Dislocation-free zone -- Plastic zone -- Singular integral equation -- Condition on remote loading -- Stress intensity factor; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2022.111566
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: Using the method of continuously distributed dislocations, we study the dislocation-free zones for unconventional internal cracks in an infinite isotropic elastic medium under uniform remote anti-plane shear stress. The unconventional cracks are represented by a symmetric lip crack with two cusp tips and a symmetric airfoil crack with a single cusp tip. For each case, the equilibrium condition is formulated in terms of a single singular integral equation in the image plane. The resulting singular integral equation is solved numerically to arrive at the dislocation distribution function and the total number of dislocations in the plastic zone, the condition on remote loading and the local mode III stress intensity factor at the cusp tip. In the absence of the dislocation-free zones, the results are valid for the Dugdale model of these unconventional cracks.