Weight functions and stress intensity factors for longitudinal semi-elliptical cracks in thick-wall cylinders

Journal Article · Wed Nov 01 04:00:00 EST 1995 · Journal of Pressure Vessel Technology

DOI:https://doi.org/10.1115/1.2842140· OSTI ID:131631

Zheng, X J; Glinka, G ^[1]

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1. Univ. of Waterloo, Ontario (Canada). Dept. of Mechanical Engineering

Semi-elliptical surface cracks are occasionally found in pressure vessels and pipes during service or production. Subsequent fracture and fatigue analysis of such cracks is of great practical interest, and requires the determination of stress intensity factors. Here, weight functions for the surface and the deepest point of an internal longitudinal semi-elliptical crack in a thick-wall cylinder (R{sub i}/t = 1) were derived from a general weight function and two reference stress intensity factors. For several linear and nonlinear crack face stress fields, the weight functions were validated against finite element data. Stress intensity factors were also calculated for the Lame through the thickness stress distribution induced by internal pressure. The weight functions appear to be particularly suitable for fatigue and fracture analysis of surface semi-elliptical cracks in complex stress fields. All stress intensity factor expressions given in the paper are valid for cylinders with the inner-radius-to-wall-thickness ratio, R{sub i}/t = 1.

• Sponsoring Organization: USDOE
• OSTI ID: 131631
• Journal Information: Journal of Pressure Vessel Technology, Journal Name: Journal of Pressure Vessel Technology Journal Issue: 4 Vol. 117; ISSN 0094-9930; ISSN JPVTAS
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
COMPARATIVE EVALUATIONS
CRACKS
FINITE ELEMENT METHOD
NONLINEAR PROBLEMS
PRESSURE VESSELS
STRESS INTENSITY FACTORS
VALIDATION
WEIGHTING FUNCTIONS