An improved semi-analytical solution for stress at round-tip notches. (November 2015)

• Record Type: Journal Article
• Authors: Liu, Mingchao; Gan, Yixiang; Hanaor, Dorian A.H.; Liu, Bin; Chen, Changqing
• Is Part Of: Engineering fracture mechanics. Volume 149(2015)
• Page Start: 134
• Page End: 143
• Publication Date: 2015-11
• Subjects: Key-hole notches -- Crack tip blunting -- Stress concentration -- Stress equilibrium -- Failure criterion; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2015.10.004
• Languages: English
• ISSNs: 0013-7944

Abstract

Highlights: 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. 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.