An approximate calculation of the stress and deformation concentrations in the plastic region and during creep

Abstract

1. In the normal distribution the arithmetic mean is the most probable value of the exact or true quantity [19, 20]. Therefore calculations of the maximum stresses and deformations based on Eqs. (1) and (2) lead to nearly accurate results, because their arithmetic mean errors are practically zero. 2. There are no experimental data on the stress and deformation concentrations in the plastic region and during creep for circular solid and hollow shafts with an annular notch or fillet. Therefore we cannot find the error in determining the theoretical values of the maximum stresses and deformations. Comparison with the results of other different approximate solutions, including the method of finite elements [21], shows that the error in determining the stresses does not exceed ±10%. 3. For calculation by Eqs. (1) and (2) we need a deformation curve and the modulus of elasticity of the material (or the isochronic creep curves), the theoretical stress concentration coefficient, and the nominal stress in the theoretical cross section.