The problem of the critical angle for edge and center V-notched structures

Alberto Carpinteri (1) , Pietro Cornetti (1) , Nicola Pugno (1) , Alberto Sapora (1)

1 Department of Structural Engineering and Geotechnics

In the present paper, the problem of detecting the critical notch angle, i.e. the angle providing the minimum failure load, for brittle or quasi-brittle structures containing either edge or center V-notches is investigated. The expression of the generalized fracture toughness is obtained according to Finite Fracture Mechanics. It is shown that a critical angle is always present: its value depends, through the brittleness number, on both material and geometric characteristics. Thus, the crack is not the most dangerous configuration. The result is supported by experimental results presented in the Literature.

Mots clés: Ede & center V-notched structures; Notch; Finite Fraxcture Mechanics

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Alberto Carpinteri, Pietro Cornetti, Nicola Pugno, Alberto Sapora. The problem of the critical angle for edge and center V-notched structures. European Journal of Mechanics - A/Solids, 2011, ⟨10.1016/j.euromechsol.2010.12.017⟩. ⟨hal-00734541⟩