On the determination of mixed mode stress intensity factors of an angled crack in a disc using FEM

Abstract

This paper is concerned with the rigorous determination of the stress intensity factors of an arbitrary located and oriented angled crack in discs using the finite element method. Three different loading conditions are examined: boundary loadings resulting from disc attachments and/or interference fit with a rotating shaft, body forces resulting from rotation at a constant angular velocity and thermal stresses associated with a quadratic radial temperature distribution. Three techniques are adopted in the evaluation of the resulting mixed-mode stress intensity factors: direct extrapolation methods, virtual crack extension and J-integral method. Verification with available referenced solutions for the simple case of a radial crack is provided and merits and limitations associated with the above three methods are discussed.