Statically undetermined functionally graded beam under torsion: A longitudinal fracture analysis with considering creep.

Functionally graded materials (FGM) with their superior mechanical properties are widely used in transport engineering (for instance, in aeronautics). The safety and reliability of functionally graded structural members and components depend in a high degree on their fracture behavior. This paper describes a longitudinal fracture analysis of a statically undetermined functionally graded beam structure loaded in torsion. The beam has a circular cross-section. There is a longitudinal crack in the beam. The crack represents a circular cylindrical surface. The beam is under linear creep. The time-dependent energy release rate (ERR) for the longitudinal crack is analyzed by considering the energy balance. Verification is performed by analyzing the compliance. A parametric investigation of the time-dependent ERR is carried-out. [ABSTRACT FROM AUTHOR]