An efficient method for calcualting multiaxial elasto-plastic notch tip strains and stresses under proportional loading

摘要

A method for calculating elasto-plastic motch tip strains and stresses in bodies subjected to proportional multiaxial loading is presented. Notch tip strains and stresses are estimated using the generalized Nehuber'' rule and equivalent strain energy density methods. These estimates form upper and lower bounds of the exact solution. All necessary relationships in the form of five simultaneous algebraic equations are derived for a general multiaxial stress state. An efficient solution method is proposed enabling fast calculation of numerical values and the choice of the appropriate soolutio. This method may be particularly useful for fatigue analysis of notched components.