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http://dx.doi.org/10.12989/sem.2013.47.1.131

Constraint-based fracture mechanics analysis of cylinders with internal circumferential cracks  

Bach, Michael (Department of Mechanical and Aerospace Engineering, Carleton University)
Wang, Xin (Department of Mechanical and Aerospace Engineering, Carleton University)
Publication Information
Structural Engineering and Mechanics / v.47, no.1, 2013 , pp. 131-147 More about this Journal
Abstract
In this paper, constraint-based fracture mechanics analyses of hollow cylinders with internal circumferential crack under tensile loading are conducted. Finite element analyses of the cracked cylinders are carried out to determine the fracture parameters including elastic T-stresses, and fully-plastic J-integrals. Linear elastic finite element analysis is conducted to obtain the T-stresses, and elastic-plastic analysis is conducted to obtain the fully plastic J-integrals. A wide range of cylinder geometries are studied, with cylinder radius ratios of $r_i/r_o$ = 0.2 to 0.8 and crack depth ratio a/t = 0.2 to 0.8. Fully plastic J-integrals are obtained for Ramberg-Osgood power law hardening material of n = 3, 5 and 10. These fracture parameters are then used to construct conventional and constraint-based failure assessment diagrams (FADs) to determine the maximum load carrying capacity of cracked cylinders. It is demonstrated that these tensile loaded cylinders with circumferential cracks are under low constraint conditions, and the load carrying capacity are higher when the low constraint effects are properly accounted for, using constraint-based FADs, comparing to the predictions from the conventional FADs.
Keywords
circumferential crack; cylinder; J-integral; stress intensity factor; T-stress; failure assessment; constraint effect;
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