Distributions of the elastic principal stress due to notches in finite size plates and rounded bars uniaxially loaded

Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion

“…This function has already been proposed for uniaxially loaded notched components of finite size (Filippi and Lazzarin 2004). By inserting f(r) according to Eq.…”

“…37 is sufficient alone to describe stress distribution on the entire ligament. This case is associated to a limit value of m tending to zero, since lim m→0 f (r ) = r (Filippi and Lazzarin 2004). 2.…”

“…The finite size effect is also considered by taking advantage of a global equilibrium condition, as made in the past dealing with components under tension or bending loads (Filippi and Lazzarin 2004;Atzori et al 2005). Doing so, the expressions for shear stresses will be accurate not only in the vicinity of the notch root but on the entire net section of the shaft.…”

A stress distribution remodelling technique

“…When applied to U, V and elliptical shaped notches in plates, this new approach was shown to be very good, at least in the vicinity of the notch tip. The expression for the first principal stress distribution was subsequently extended to the entire ligament width, for the case of remotely applied tension, by invoking global equilibrium conditions (Filippi and Lazzarin 2004). More recently again, Atzori et al (2005) modified it to take into account remotely applied bending loads and combinations of bending and tension.…”

“…The parameter m is necessary to extend the validity of the expression to the whole ligament width and has been discussed in detail by Filippi and Lazzarin (2004). The parameter κ is necessary to take into account an applied bending load.…”