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Research Papers: Design and Analysis

Improved J Estimation by GE/EPRI Method for the Thin-Walled Pipes With Small Constant-Depth Circumferential Surface Cracks

[+] Author and Article Information
X. Liu

Institute of Solid Mechanics,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China
e-mail: liuxia@lnm.imech.ac.cn

Z. X. Lu

Institute of Solid Mechanics,
Beijing University of Aeronautics
and Astronautics,
Beijing 100190, China
e-mail: luzixing@buaa.edu.cn

Y. Chen

State Key Laboratory of Nonlinear Mechanics,
Institute of Mechanics,
Chinese Academy of Science,
Beijing 100190, China;
School of Engineering Science,
University of Chinese Academy of Sciences,
Beijing 101408, China
e-mail: chenyan@lnm.imech.ac.cn

Y. L. Sui

Pipeline Research Institute of China National
Petroleum Corporation,
Langfang Hebei 065000, China
e-mail: suiyl1970@126.com

L. H. Dai

State Key Laboratory of Nonlinear Mechanics,
Institute of Mechanics,
Chinese Academy of Science,
Beijing 100190, China;
School of Engineering Science,
University of Chinese Academy of Sciences,
Beijing 101408, China
e-mail: lhdai@lnm.imech.ac.cn

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received December 18, 2016; final manuscript received September 28, 2017; published online November 30, 2017. Assoc. Editor: David L. Rudland.

J. Pressure Vessel Technol 140(1), 011201 (Nov 30, 2017) (10 pages) Paper No: PVT-16-1238; doi: 10.1115/1.4038226 History: Received December 18, 2016; Revised September 28, 2017

Abstract

Application of thin-walled high strength steel has become a trend in the oil and gas transportation system over long distance. Failure assessment is an important issue in the construction and maintenance of the pipelines. This work provides an engineering estimation procedure to determine the J-integral for the thin-walled pipes with small constant-depth circumferential surface cracks subject to the tensile loading based upon the General Electric/Electric Power Research (GE/EPRI) method. The values of elastic influence functions for stress intensity factor and plastic influence functions for fully plastic J-integral are derived in tabulated forms through a series of three-dimensional (3D) finite element (FE) calculations for a wide range of crack geometries and material properties. Furthermore, the fit equations for elastic and plastic influence functions are developed, where the effects of crack geometries are explicitly revealed. The new influence functions lead to an efficient J estimation and can be well applied for structural integrity assessment of thin-walled pipes with small constant-depth circumferential surface cracks under tension.

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References

Shih, C. F. , and Hutchinson, J. W. , 1976, “ Fully Plastic Solutions and Large-Scale Yielding Estimates for Plane Stress Crack Problems,” ASME J. Eng. Mater. Technol., 98(4), pp. 289–295.
Kumar, V. , German, M. D. , and Shih, C. F. , 1981, An Engineering Approach for Elastic-Plastic Fracture Analysis, Electric Power Research Institute, Palo Alto, CA.
Zahoor, A. , 1989, Ductile Fracture Handbook, Electric Power Research Institute, Palo Alto, CA.
Chiodo, M. S. G. , and Ruggieri, C. , 2010, “ J and CTOD Estimation Procedure for Circumferential Surface Cracks in Pipes Under Bending,” Eng. Fract. Mech., 77(3), pp. 415–436.
Foxen, J. , and Rahman, S. , 2000, “ Elastic-Plastic Analysis of Small Cracks in Tubes Under Internal Pressure and Bending,” Nucl. Eng. Des, 197(1–2), pp. 75–87.
Kumar, V. , German, M. D. , Wilkening, W. W. , Andrews, W. R. , Delorenzi, H. G. , and Mowbray, D. F. , 1984, Advances in Elastic–Plastic Fracture Analysis, Electric Power Research Institute, Palo Alto, CA.
Kumar, V. , and German, M. D. , 1988, Elastic-Plastic Fracture Analysis of Through-Wall and Surface Flaws in Cylinders, Electric Power Research Institute, Palo Alto, CA.
Paredes, M. , and Ruggieri, C. , 2015, “ Engineering Approach for Circumferential Flaws in Girth Weld Pipes Subjected to Bending Load,” Int. J. Pressure Vessels Piping, 125, pp. 49–65.
Mohan, R. , Krishna, A. , Brust, F. W. , and Wilkowski, G. M. , 1998, “ J-Estimation Schemes for Internal Circumferential and Axial Surface Cracks in Pipe Elbows,” ASME J. Pressure Vessel Technol., 120(4), pp. 418–423.
Chattopadhyay, J. , Tomar, A. K. S. , Dutta, B. K. , and Kushwaha, H. S. , 2005, “ Elastic-Plastic J and COD Estimation Schemes for Through wall Circumferentially Cracked Elbow Under in-Plane Closing Moment,” Eng. Fract. Mech., 72(14), pp. 2186–2217.
Chattopadhyay, J. , 2006, “ Improved J and COD Estimation by GE/EPRI Method in Elastic to Fully Plastic Transition Zone,” Eng. Fract. Mech., 73(14), pp. 1959–1979.
Parise, L. F. S. , Ruggieri, C. , and O'Dowd, N. P. , 2015, “ Fully-Plastic Strain-Based J Estimation Scheme for Circumferential Surface Cracks in Pipes Subjected to Reeling,” ASME J. Pressure Vessel Technol., 137(4), p. 041204.
Ainsworth, R. A. , 1984, “ The Assessment of Defects in Structures of Strain-Hardening Material,” Eng. Fract. Mech., 19(4), pp. 633–642.
Kim, Y. J. , Kim, J. S. , Lee, Y. Z. , and Kim, Y. J. , 2002, “ Non-Linear Fracture Mechanics Analyses of Part Circumferential Surface Cracked Pipes,” Int. J. Fract., 116(4), pp. 347–375.
Kim, Y. J. , and Budden, P. J. , 2002, “ Reference Stress Approximations for J and COD of Circumferential Through-Wall Cracked Pipes,” Int. J. Fract., 116(3), pp. 195–218.
Kim, Y. J. , Kim, J. S. , Park, Y. J. , and Kim, Y. J. , 2004, “ Elastic-Plastic Fracture Mechanics Method for Finite Internal Axial Surface Cracks in Cylinders,” Eng. Fract. Mech., 71(7–8), pp. 925–944.
Kim, N. H. , Oh, C. S. , Kim, Y. J. , Kim, J. S. , Jerng, D. W. , and Budden, P. J. , 2011, “ Limit Loads and Fracture Mechanics Parameters for Thick-Walled Pipes,” Int. J. Pressure Vessels Piping, 88(10), pp. 403–414.
Cho, D. H. , Seo, H. B. , Kim, Y. J. , Chang, Y. S. , Jhung, M. J. , and Choi, Y. H. , 2011, “ Advances in J-Integral Estimation of Circumferentially Surface Cracked Pipes,” Fatigue Fract. Eng. Mater. Struct., 34(9), pp. 667–681.
Park, J. S. , Choi, Y. H. , and Im, S. , 2014, “ Generation of Plastic Influence Functions for J-Integral and Crack Opening Displacement of Thin-Walled Pipes With a Short Circumferential Through-Wall Crack,” Int. J. Pressure Vessels Piping, 117–118, pp. 117–24.
Cho, D. H. , Woo, S. W. , Chang, Y. S. , Choi, J. B. , Kim, Y. J. , Jhung, M. J. , and Choi, Y. H. , 2010, “ Enhancement of J Estimation for Typical Nuclear Pipes With a Circumferential Surface Crack Under Tensile Load,” J. Mech. Sci. Technol., 24(3), pp. 681–686.
Jayadevan, K. R. , Østby, E. , and Thaulow, C. , 2004, “ Fracture Response of Pipelines Subjected to Large Plastic Deformation Under Tension,” Int. J. Pressure Vessels Piping, 81(9), pp. 771–783.
API, 2013, “ Welding of Pipelines and Related Facilities,” American Petroleum Institute, Washington, DC, Standard No. API 1104.
Anderson, T. L. , 2005, Fracture Mechanics: Fundamentals and Applications, CRC Press, Boca Raton, FL.
Hutchinson, J. W. , 1968, “ Singular Behaviour at the End of a Tensile Crack in a Hardening Material,” J. Mech. Phys. Solids, 16(1), pp. 13–31.
Rice, J. R. , and Rosengren, G. F. , 1968, “ Plane Strain Deformation Near a Crack Tip in a Power-Law Hardening Material,” J. Mech. Phys. Solids, 16(1), pp. 1–12.
Ilyushin, A. A. , 1946, “ The Theory of Small Elastic-Plastic Deformations,” Prikadnaia Matematica i Mekhanika, 10, pp. 347–356 (in Russian).
Hibbitt, H. , Karlsson, B. , and Sorensen, P. , 2011, “ ABAQUS Analysis User's Manual Version 6.10,” Simulia-Dassault Systèmes, Providence, RI.
Mostaghel, N. , and Byrd, R. A. , 2002, “ Inversion of Ramberg-Osgood Equation and Description of Hysteresis Loops,” Int. J. Nonlinear Mech, 37(8), pp. 1319–1335.
Kim, Y. J. , Shim, D. J. , Nikbin, K. , Kim, Y. J. , Hwang, S. S. , and Kim, J. S. , 2003, “ Finite Element Based Plastic Limit Loads for Cylinders With Part-Through Surface Cracks Under Combined Loading,” Int. J. Pressure Vessels Piping, 80(7–8), pp. 527–540.

Figures

Fig. 1

(a) The geometrical dimension of the pipe with a circumferential surface crack and (b)geometry of the constant depth surface crack

Fig. 2

Finite element mesh for the pipe with a/t = 0.25, c/a= 8 and D/t = 75

Fig. 3

Comparison of F values for pipes with a/t = 0.45 and θ/π = 0.05

Fig. 4

Comparison of J-integral values for relatively thick-walled pipes with D/t = 20, a/t = 0.25 and θ/π = 0.1

Fig. 5

Comparison of J-integral values for thin-walled pipes with D/t = 100, a/t = 0.45 and θ/π = 0.05

Fig. 6

Variation of F values, resulting from the FE results and the proposed equation, with c/a for pipes with D/t = 75

Fig. 7

Determination of h1 factors from the linear variation of J¯p with (P/PL)n+1 for the pipes with n = 5 and D/t = 75: (a)a/t = 0.15and (b) a/t = 0.45

Fig. 8

Determination of h1 factors from the linear variation of J¯p with (P/PL)n+1 for the pipes with n = 10 and D/t = 75: (a)a/t = 0.15 and (b) a/t = 0.45

Fig. 9

Determination of h1 factors from the linear variation of J¯p with (P/PL)n+1 for the pipes with n = 15 and D/t = 75: (a)a/t = 0.15 and (b) a/t = 0.45

Fig. 10

Variation of the h1 values, determined from the FE results and proposed equation, with c/a: (a) n =5, (b) n = 10, and (c) n = 15

Fig. 11

Comparison of J-integral estimated by using new elastic and plastic influence functions with FE results for thin-walled pipes having D/t = 75 and n = 5: (a) a/t = 0.15 and (b) a/t = 0.45

Fig. 12

Comparison of J-integral estimated by using new elastic and plastic influence functions with FE results for thin-walled pipes having D/t = 75 and n = 10: (a) a/t = 0.15 and (b) a/t = 0.45

Fig. 13

Comparison of J-integral estimated by using new elastic and plastic influence functions with FE results for thin-walled pipes having D/t = 75 and n = 15: (a) a/t = 0.15 and (b) a/t = 0.45

Fig. 14

The effect of D/t on JP/P0 relationship for thin-walled pipes with n = 5: (a) a/t = 0.15 and (b) a/t = 0.45

Fig. 15

The effect of D/t on JP/P0 relationship for thin-walled pipes with n = 10: (a) a/t = 0.15 and (b) a/t = 0.45

Fig. 16

The effect of D/t on JP/P0 relationship for thin-walled pipes with n = 15: (a) a/t = 0.15 and (b) a/t = 0.45

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