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

Dr. Hanaor - Department of Ceramic Materials - TU Berlin's picture



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

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

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



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.

Engineering Fracture Mechanics


PDF icon fracture mechanics.pdf768.07 KB
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