An improved semi-analytical solution for stress at round-tip notches

Highlights

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A semi-analytical model is developed for the notch tip maximum stress.

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Application of the formula to U and blunt V-notches is demonstrated.

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The results can be used to assess the brittle failure of notched components.

Abstract

In order to investigate the brittle failure of key-hole-notched components, the stress distribution at notch tips is studied numerically and theoretically. A semi-analytical formula is developed for the maximum notch-tip-stress, incorporating crack-tip-blunting, stress-concentration and stress-equilibrium. Stress distributions in notched plates are simulated by the finite-element method, showing improved accuracy of the formula relative to established solutions. Application of the developed equation to components containing U-notches and blunt V-notches, is explored, demonstrating its broad applicability. When combined with stress-based failure criteria, the semi-analytical model can be employed to assess brittle failure in notched components with significance toward fracture in heterogeneous materials.

https://doi.org/10.1016/j.engfracmech.2015.10.004

Engineering Fracture Mechanics