A numerical study on the crack tip constraint of pipelines subject to extreme plastic bending

Abstract This study investigates the fracture response and crack tip constraint of thick wall pipelines subject to large plastic bending. Such a circumstance frequently occurs during the installation of offshore pipelines (such as the reeling method), and accidental overloading, both inducing inelastic bending. The near-tip stress and strain fields are obtained through the fully nonlinear 3D finite element models constructed to examine the response of a practical range of cracked pipeline geometries and material properties. It is observed that throughout the loading history (up to the large scale yielding of the pipeline), by incorporation of the J – Q two parameter fracture theory, the near crack tip fields do indeed resemble those obtained from a K – T modified boundary layer formulation. This analogy provides sufficient proof for the applicability of the similitude concept inherent and fundamental to any fracture assessment procedure. All the pipelines considered in this study, which had realistic crack sizes, exhibited low constraint behavior (i.e. −1.4  Q Q was observed to decrease as a linear function of the global bending strain. Based on this correlation, simplified design equations are presented by which the constraint of such pipelines could be effectively estimated. The equations would be suitable for incorporation in the constraint-matched integrity assessment procedures that would in turn overcome the overt conservatism produced by the use of single parameter fracture mechanics approaches. Suitability of the low constraint laboratory specimens for fracture toughness measurements is also confirmed.

[1]  Nikzad Nourpanah,et al.  Development of a reference strain approach for assessment of fracture response of reeled pipelines , 2010 .

[2]  J. Hutchinson Fundamentals of the Phenomenological Theory of Nonlinear Fracture Mechanics , 1983 .

[3]  R. McMeeking,et al.  On criteria for J-dominance of crack-tip fields in large-scale yielding , 1979 .

[4]  A. S. Argon,et al.  Topics in fracture and fatigue , 1992 .

[5]  Guandong Wang,et al.  Two Parameter Fracture Mechan-ics: Theory and Applications , 1993 .

[6]  M. D. German,et al.  Requirements for a one parameter characterization of crack tip fields by the HRR singularity , 1981, International Journal of Fracture.

[7]  John W. Hutchinson,et al.  Singular behaviour at the end of a tensile crack in a hardening material , 1968 .

[8]  J. W. Hancock,et al.  J-Dominance of short cracks in tension and bending , 1991 .

[9]  Erling Østby,et al.  Fracture response of pipelines subjected to large plastic deformation under tension , 2004 .

[10]  Yuh J. Chao,et al.  J-A2 Characterization of Crack-Tip Fields: Extent of J-A2 Dominance and Size Requirements , 1998 .

[11]  J. Rice,et al.  Plane strain deformation near a crack tip in a power-law hardening material , 1967 .

[12]  J. Hancock,et al.  Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields , 1991 .

[13]  Claudio Ruggieri,et al.  Correlation of fracture behavior in high pressure pipelines with axial flaws using constraint designed test specimens––Part I: Plane-strain analyses , 2005 .

[14]  C. Shih,et al.  Relationships between the J-integral and the crack opening displacement for stationary and extending cracks , 1981 .

[15]  C. Shih,et al.  Family of crack-tip fields characterized by a triaxiality parameter—I. Structure of fields , 1991 .

[16]  Bård Nyhus,et al.  SENT Specimens an Alternative to SENB Specimens for Fracture Mechanics Testing of Pipelines , 2003 .

[17]  Noel P. O’Dowd,et al.  Constraint in the failure assessment diagram approach for fracture assessment , 1995 .

[18]  M. Williams,et al.  On the Stress Distribution at the Base of a Stationary Crack , 1956 .

[19]  Robert A. Ainsworth,et al.  The assessment of defects in structures of strain hardening material , 1984 .

[20]  Noel P. O’Dowd,et al.  A Framework for Quantifying Crack Tip Constraint , 1993 .

[21]  D. M. Parks,et al.  Advances in Characterization of Elastic-Plastic Crack-Tip Fields , 1992 .

[22]  Tomasz Tkaczyk,et al.  Fracture Assessment Procedures for Steel Pipelines Using a Modified Reference Stress Solution , 2009 .

[23]  Henryk G. Pisarski,et al.  Fracture Toughness Estimation for Pipeline Girth Welds , 2002 .

[24]  C. Shih,et al.  Family of crack-tip fields characterized by a triaxiality parameter—II. Fracture applications , 1992 .

[25]  Claudio Ruggieri,et al.  Correlation of fracture behavior in high pressure pipelines with axial flaws using constraint designed test specimens. Part II: 3-D effects on constraint , 2006 .

[26]  Wolfgang Brocks,et al.  Quantification of constraint effects in elastic-plastic crack front fields , 1998 .

[27]  J. Hancock,et al.  Constraint and Toughness Parameterized by T , 1993 .

[28]  Noel P. O’Dowd Applications of two parameter approaches in elastic-plastic fracture mechanics , 1995 .

[29]  Jonas Faleskog,et al.  Effects of local constraint along three-dimensional crack fronts—a numerical and experimental investigation , 1995 .