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CALCULATION OF THE STRESS INTENSITY FACTOR FOR A PARTIAL CIRCUMFERENTIALLY CRACKED TUBE LOADED IN BENDING BY USING THE SHELL LINE‐SPRING MODEL
Author(s) -
Dai Y.,
Rödig M.,
Altes J.
Publication year - 1991
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.1460-2695.1991.tb00639.x
Subject(s) - bending , tube (container) , materials science , tension (geology) , shell (structure) , structural engineering , stress intensity factor , finite element method , spring (device) , composite material , stress (linguistics) , ultimate tensile strength , line (geometry) , fracture mechanics , engineering , geometry , mathematics , linguistics , philosophy
— In this paper the line‐spring model (LSM) developed by Rice and Levy is used to obtain an approximate solution of the stress intensity factor for a partial circumferential, externally cracked tube under axial tension and four point bending. The calculation is based on the work done by Delale and Erdogan for cylindrical shells containing a circumferential or an axial semi‐elliptical, part‐through crack. The range of utility of their analysis is enlarged to thicker wall tubes with nonelliptic and longer part‐through circumferential cracks. Values of K 1 calculated by the LSM are compared with those from a finite element analysis for remote tensile loading and bending cases, which shows fairly good agreement. The calculations are also applied to a fatigue crack growth test in a tube in four point bending to correlate the d a /d N vs λ K 1 data.