A New Method for Calculating Notch Tip Stresses and Strains Based on Neuber Method and ESED Method under Multiaxial Loading

A modified version of Neuber method and ESED method for calculating elasto-plastic notch tip stresses and strains in bodies subjected to proportional multiaxial loading, in which only the heat energy is considered as a dissipation and the stored energy is regarded as a contribution to local stress and strain ranges, has been developed in this paper. The method considers the material constant of yield stress in response to the difference between before and after the plastic phase. This approach makes the calculated results tend to be more precise and reveals its energy meaning, considers the elastic-plastic properties of material itself and avoids the blindness of selecting coefficient values. Finally, the calculated results using modified model are validated with the Finite Element Method. It is shown that, for the case of cyclic loading, the modified method further improves the accuracy of the original Neuber method and ESED method in predicting the nonlinear stresss-train behavior of notches. It is also shown that the modified model proposed in this paper can easily be used for a calculation of the local stress-strain relationship.