Two-parameter fracture mechanics and circumferential crack growth in surface cracked pipelines using line-spring elements

A procedure for constraint correction of crack growth resistance curves for single edge notched specimens and for pipe geometries is presented. The procedure is based on FE models with the combination of shell- and line-spring finite elements. Crack tip opening displacement and T-stress are employed, and ductile crack growth is accounted for. Experimental crack growth resistance curves are obtained for both single edge notched tension- and bending-specimens for different crack depths to cover significantly different constraint levels. To account for different constraint levels, a method to scale the resistance curve using the T-stress is implemented. The analyses include ductile crack growth in both the circumferential and thickness directions. The effect of circumferential crack growth with biaxial loading is also presented. The results from the line-spring model are compared with detailed 3D-models for verification of the implementation of circumferential crack growth. The importance of including crack growth in circumferential direction is discussed based on numerical parametric studies. A measure to quantify the importance of circumferential crack growth is proposed.

[1]  J. Hancock,et al.  The effect of non-singular stresses on crack-tip constraint , 1991 .

[2]  Erling Østby,et al.  A probabilistic fracture mechanics model including 3D ductile tearing of bi-axially loaded pipes with surface cracks , 2008 .

[3]  T. Sham The determination of the elastic T-term using higher order weight functions , 1991 .

[4]  C. S. White,et al.  Elastic-Plastic Line-Spring Finite Elements for Surface-Cracked Plates and Shells , 1982 .

[5]  J. Rice,et al.  The Part-Through Surface Crack in an Elastic Plate , 1972 .

[6]  John R. Rice,et al.  The line spring model for surface flaws. , 1972 .

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

[8]  Bjørn Skallerud,et al.  Thin shell and surface crack finite elements for simulation of combined failure modes , 2005 .

[9]  Hyungyil Lee,et al.  Fully plastic analyses of plane strain single-edge-cracked specimens subject to combined tension and bending , 1993 .

[10]  Bjørn Skallerud,et al.  Two-parameter fracture assessment of surface cracked cylindrical shells during collapse , 2006 .

[11]  Carlos A. Felippa,et al.  Membrane triangles with corner drilling freedoms II: the ANDES element , 1992 .

[12]  Matteo Chiesa,et al.  Closed form line spring yield surfaces for deep and shallow cracks: formulation and numerical performance , 2002 .

[13]  Erling Østby,et al.  Ultimate fracture capacity of pressurised pipes with defects – Comparisons of large scale testing and numerical simulations , 2008 .

[14]  D. Parks,et al.  Evaluation of the elastic T-stress in surface-cracked plates using the line-spring method , 1992 .

[15]  Matteo Chiesa,et al.  Efficient numerical procedures for fracture assessments of surface cracked shells , 2001 .

[16]  Bjørn Skallerud,et al.  Collapse of thin shell structures—stress resultant plasticity modelling within a co-rotated ANDES finite element formulation , 1999 .

[17]  Bård Nyhus,et al.  Constraint correction of high strength steel Selection of test specimens and application of direct calculations , 2004 .

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

[19]  Hyungyil Lee,et al.  Enhanced elastic-plastic line-spring finite element , 1995 .

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

[21]  Bård Nyhus,et al.  Fracture Control of pipelines using LINKpipe. From rule based design to direct calculations , 2006 .

[22]  A. J. Carlsson,et al.  Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials , 1973 .

[23]  Erling Østby,et al.  Numerical investigation of ductile tearing in surface cracked pipes using line-springs , 2006 .

[24]  Bård Nyhus,et al.  Structural integrity of pipelines: T‐stress by line‐spring , 2005 .