Vol.21, No.2, 2021, pp. 157–162
UDC:

The paper analyses fracture of an inhomogeneous cylindrical structural component with two internal lengthwise cracks. The component is loaded in torsion and its cross-section is a circle. The structural component exhibits continuous material inhomogeneity in radial direction. The two cracks represent concentric circular cylindrical surfaces whose lengths differ. The structural component is made of a nonlinear elastic material and is treated as a structure of two degrees of internal static indeterminacy in order to obtain the torsion moments in the internal, interstitial, and external parts of the component (torsion moments in the internal and interstitial parts are taken as redundants). The lengthwise fracture is studied in terms of strain energy release rate. The solutions derived are verified by considering the balance of energy. Lengthwise fracture is analysed also for the case when a circular notch is cut-out in the external and interstitial parts of the component. The results obtained are compared with results for a structural component without a notch.

Keywords: lengthwise crack, inhomogeneous structural component, nonlinear elastic behaviour, fracture