Effect of Poisson’s Ratio on the Elastic Strain Concentration Factor of Notched Bars under Static Tension and under Pure Bending

As a contribution to the field of strain concentration studies, the coupled influences of poisson's ratio and the geometric configuration upon the strain concentration factor, defined under triaxial stress state, of notched bars with u-notch, are investigated using the finite element method. circumferentially u-notched cylindrical bars under tension and rectangular bars with a single edge u-notch under bending with different notch depths are employed here. the results clearly show that the poisson's ratio has a significant effect on the strain concentration factor, especially for deep and intermediate notch depths. for shallow notches, the elastic strain concentration factor nearly independent of poisson's ratio. however, for any notch depth the effect of poisson's ratio becomes prominent with decreasing notch radius. finally, by fitting the results of fem analysis, a set of convenient formulas of the elastic strain concentration factor as a function of poisson's ratio are introduced. these formulas will be useful for any notch depth and radius under the same type of loading employed in the present study.