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Elastic T stress estimates for circumferential surface‐cracked cylinders *
Author(s) -
HUH N.S.
Publication year - 2006
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/j.1460-2695.2006.00961.x
Subject(s) - materials science , stress intensity factor , radius , cylinder , finite element method , stress (linguistics) , surface (topology) , point (geometry) , basis (linear algebra) , bending , ranging , structural engineering , constraint (computer aided design) , geometry , mechanics , mathematics , composite material , geology , physics , engineering , computer science , linguistics , philosophy , computer security , geodesy
On the basis of detailed three‐dimensional (3D) elastic finite element (FE) analyses, this paper provides tractable approximations for elastic T stress solutions for circumferential inner‐surface cracks in cylinders. Internal pressure and global bending moment were considered. The FE model and analysis procedure employed in the analysis were verified using existing solutions for both elastic stress intensity factor and T stress. To cover a practical range, three different values of the ratio of the mean radius of cylinder to the thickness, R m / t , were selected; furthermore, four different values of the ratio of the crack depth to the thickness, a / t , ranging from 0.1 to 0.75 and three different values of θ/π ranging from 0.1 to 0.4 were selected. On the basis of FE analyses results, polynomial approximations were proposed at three different locations: surface point, middle point and deepest point. On the basis of the detailed 3D elastic FE analysis, the solutions presented are believed to be the most accurate, and thus provide valuable information for structural integrity assessment considering a crack‐tip constraint.