Innovative theory for the compliance computation in rotors

The conventional energy release rate approach to the computation of the crack compliance in rotors is critically reviewed and its shortcoming is highlighted. The state functions and the generic compliance are introduced, dened, and veried. The proposed functions are dened based on the end statesʹ conditions and are exact. The crack compliance of the shaft in torsion is explicitly dened as the function of the crack depth ratio and recommended as a good alternative to the classical procedure of the energy release rate method. The accuracy and eciency of the work are veried by concise mathematical formulation and comparison of the results of the work with the others in four examples.