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Analytical study on the mode III stress fields due to blunt notches with cracks
Author(s) -
Zappalorto Michele,
Salviato Marco,
Maragoni Lucio
Publication year - 2019
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.12936
Subject(s) - curvilinear coordinates , antiplane shear , stress field , torsion (gastropod) , stress intensity factor , materials science , coordinate system , elasticity (physics) , structural engineering , shear stress , mechanics , geometry , fracture mechanics , mathematics , composite material , engineering , finite element method , physics , medicine , surgery
This work presents an analytical study on the stress fields induced by cracks nucleated at the tip of radiused notches under antiplane shear and torsion loadings. Closed‐form solutions for both shallow and deep notches are derived leveraging a combination of proper curvilinear coordinate systems and the complex potential method for antiplane elasticity. Based on the exact stress field solutions, convenient expressions for the stress intensity factors are derived. The accuracy of all the analytical formulations is verified by comparison with the results from a bulk of numerical analyses.