Stresses and Elastoplastic Strains in Rods with Annular (Circumferential) Cracks

Abstract

The service life of structural elements upon a variable or long-term loading consists of three stages: stage of durability (up to crack formation in the notch), stage of vitality, and stage of final destruction. To improve the reliability of forecasting safe operation it appeared expedient to measure and determine the stress-strain state in the notches and cracks using unitary analytical approaches. We developed a method of calculating fields of local stresses and elastoplastic strains in the net section of rods with annular cracks in conditions of tension, bending or torsion proceeding from G. Neuber elastic solutions for circular notches and energy method of evaluating stress concentration and elastoplastic strains in the notches. Acceptability of the method for engineering applications is proved in comparison of the obtained results and data of experimental and analytical method of N. A. Makhutov.