✍ Scribed by Peishi Yu; Wanlin Guo; Chongmin She; Junhua Zhao
No coin nor oath required. For personal study only.
The influence of Poisson's ratio (m) on the thickness-dependent stress concentration factor (SCF) along the root of elliptic holes in elastic plates subjected to tension is systematically investigated by use of three-dimensional finite element method. It is found that the thickness-dependent maximum of SCF, (K t ) max , increases significantly with increasing m. As the thickness to root radius ratio B/ q grows from 0.1 to 1000, the (K t ) max undergo a peak value, which can be increased 9% for a circular hole and 23% for an elliptic hole with length of short to long axial aspect ratio t = 0.1 when m increases from 0.1 to 0.49. It is also found that the peak value occurs in a narrow range of the thickness to elliptic short axis ratio B/b (2-3) with different t and m. When B/q is high enough, an increase of m from 0.1 to 0.49 leads to decreasing in the SCFs on the free surface (K t ) surf about 24% and 61% and increasing in the ratio of (K t ) max /(K t ) surf about 38% and 195% for circular hole and elliptic hole with t = 0.1. The m-dependent empirical formulae of the relationships among (K t ) max , (K t ) surf and the corresponding planar solution (K t ) pÀr have been obtained by fitting the numerical results with satisfied accuracy, which will be useful for strength and fatigue designs of engineering structures with notches and holes.
📜 SIMILAR VOLUMES