Semianalytical solution for the stress distribution in notched tubes

The aim of this paper is to present an alternative solution to the finite element method for the determination of the elastic stress field for an axi-symmetric notched tube under tension and bending loadings. The proposed solution is an extension of the work of Filippi and Lazzarin (2004) [8] to tubular specimens. It provides the stress field distribution along the notch bisector. A good agreement was found between the solution proposed in the present paper and the results from a finite element analysis. A sensitivity analysis is performed to establish the domain of validity of the solution with respect to the dimensions of the notched tube.

Research highlights► Item proposes a closed-form approximate solution for notch tubes. ► Item good agreement with FEM computations. ► Item sensibility analysis of the formulae permits to asses validity with respect to geometrical solution. ► Item generalization of previous formulae by Tovo, Lazzarin et al.