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Research Papers: Design and Analysis

The Influence of Imperfections and Nonlinearities on the Failure and B2 Stress Index of Thin-Walled Pipes

[+] Author and Article Information
Henry Schau

Mem. ASME
TÜV SÜD Energietechnik GmbH,
Dudenstrasse 28,
Mannheim 68617, Germany
e-mail: henry.schau@tuev-sued.de

Lilit Mkrtchyan

Cooperative State University Baden-Wuerttemberg,
Coblitzallee 1-9,
Mannheim 68163, Germany
e-mail: lilit.mkrtchyan@dhbw-mannheim.de

Michael Geier

TÜV SÜD Energietechnik GmbH,
Dudenstrasse 28,
Mannheim 68617, Germany
e-mail: michael.geier@tuev-sued.de

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received April 28, 2014; final manuscript received April 8, 2015; published online May 20, 2015. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 137(6), 061205 (Dec 01, 2015) (7 pages) Paper No: PVT-14-1072; doi: 10.1115/1.4030366 History: Received April 28, 2014; Revised April 08, 2015; Online May 20, 2015

The effects of imperfections and nonlinearities on the failure mode and the B2 stress index of thin-walled straight pipes are investigated with finite element (FE) analyses. The analyses were performed for pipes made of an ideal elastic–plastic material and the austenitic steel X6CrNiNb18-10. The B2 index is calculated from the instability bending moments obtained by limit load analyses. The effects of initial imperfections as well as the D/t-ratio and the yield stress on the B2 stress index are studied. As a first result, it is noted that thin-walled straight pipes and imperfections fail due to local plastic buckling. Further analyses show that the type of imperfections, the ovality, the D/t-ratio, and the yield stress have significant influences on the B2 index. The obtained B2 indices for thin-walled straight pipes with D/t > 40 and possible technical imperfections are considerably higher than 1.0. The results have been compared with those of other investigations.

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References

ASME, 2013, Boiler and Pressure Vessel Code, Section III, Division 1, The American Society of Mechanical Engineers, New York.
AFCEN, 2012, RCC-M, Design and Conception Rules for Mechanical Components of PWR Nuclear Islands, French Society for Design, Construction and In-Service Inspection Rules for Nuclear Island Components, Paris (English version).
KTA 3201.2, 2013, Components of the Reactor Coolant Pressure Boundary of Light Water Reactors—Part 2: Design and Analysis, Nuclear Safety Standards Commission (KTA), Salzgitter.
KTA 3211.2, 2013, Pressure and Activity Retaining Components of Systems Outside the Primary Circuit—Part 2: Design and Analysis, Nuclear Safety Standards Commission (KTA), Salzgitter.
Rao, K. R., 2002, Companion Guide to the ASME Boiler and Pressure Vessel Code: Criteria and Commentary on Select Aspects of the ASME Boiler & Pressure Vessel and Piping Codes, ASME Press, New York.
Elchalakani, M., Zhao, X. L., and Grzebieta, R., 2002, “Bending Tests to Determine Slenderness Limits for Cold-Formed Circular Hollow Sections,” J. Constr. Steel Res., 58(11), pp. 1407–1430. [CrossRef]
Sherman, D. R., 1976, “Test of Circular Steel Tubes in Bending,” J. Struct. Div. (ASCE), 102(11), pp. 2181–2195.
General Electric Report, 1978, “Functional Capability Criteria for Essential Mark II Piping,” Report No. NEDO-21985.
Ju, G. T., and Kyriakides, S., 1991, “Bifurcation Buckling Versus Limit Load Instabilities of Elastic-Plastic Tubes Under Bending and External Pressure,” ASME J. Offshore Mech. Arct. Eng., 113(1), pp. 43–52. [CrossRef]
Vasilikis, D., Karamanos, S. A., van Es, S. H. J., and Gresnigt, A. M., 2014, “Bending Deformation Capacity of Large-Diameter Spiral-Welded Tubes,” ASME Paper No. IPC2014-33231. [CrossRef]
Kyriakides, S., and Corona, E., 2007, Mechanics of Offshore Pipelines, Volume 1: Buckling and Collapse, Elsevier, Oxford.
Simitses, G. J., 1986, “Buckling and Postbuckling of Imperfect Cylindrical Shells: A Review,” ASME Appl. Mech. Rev., 39(10), pp. 1517–1524. [CrossRef]
Yu, L., and Matzen, V. C., 1999, “B2 Stress Index for Elbow Analysis,” Nucl. Eng. Des., 192(2–3), pp. 261–270. [CrossRef]
Yu, L., Tan, Y., and Matzen, V. C., 1999, “B2 Stress Indices for Elbows and Straight Pipes Using Finite Element Analysis,” 15th International Conference on Structural Mechanics in Reactor Technology, SMiRT-15, Seoul, Vol. IV, pp. 41–48.
Matzen, V. C., and Tan, Y., 2000, “The History of the B2 Stress Index and a New Margin-Consistent Procedure for Its Calculation,” 2000 ASME Pressure Vessels and Piping Conference, Seattle, WA, PVP-Vol. 399, pp. 251–258.
Ghosh, S., and Roy, P., 2012, “Quantification of the Uncertainty in Stress Index B2 for Pipe Bends Subjected to Out-of-Plane Bending,” Int. J. Pressure Vessels Piping, 95(2), pp. 24–30. [CrossRef]
ABAQUS, Version 6.13, SIMULIA, Dassault SystÓmes Americas Corp., Waltham.
Mutz, A., 2011, “Structural Assessment of Piping Components and Systems in Energy Conversion Facilities Considering the Real Material Characteristic,” Ph.D. dissertation, Materials Testing Institute, University of Stuttgart, Stuttgart.
Houliara, S., and Karamanos, S. A., 2011, “Buckling of Thin-Walled Long Steel Cylinders Subjected to Bending,” ASME J. Pressure Vessel Technol., 133(1), p. 011201. [CrossRef]
ASTM A 530/A530 M, 2012, Standard Specification for General Requirements for Specialized Carbon and Alloy Steel Pipe, ASTM International, West Conshohocken.
Veerappan, A. R., Shanmugam, S., and Soundrapandian, S., 2010, “The Accepting of Pipe Bends With Ovality and Thinning Using Finite Element Method,” ASME J. Pressure Vessel Technol., 132(3), p. 031204. [CrossRef]
Dama, E., Gresnigt, A. M., and Karamanos, S. A., 2006, “Failure of Locally Buckled Pipelines,” ASME J. Pressure Vessel Technol., 129(2), pp. 272–279. [CrossRef]
Guo, L., Yang, S., and Jiao, H., 2013, “Behavior of Thin-Walled Circular Hollow Section Tubes Subjected to Bending,” Thin-Walled Struct., 73, pp. 281–289. [CrossRef]

Figures

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Fig. 1

Definition of the collapse and instability moment for exemplary curves

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Fig. 2

Normalized moments for ideal elastic–plastic material for different D/t-ratios without buckling

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Fig. 3

B2 index for an ideal elastic–plastic material as a function of the D/t-ratio without buckling

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Fig. 4

Ratio Mpl/MIL for austenitic steel X6CrNiNb18-10 for different D/t-ratios without imperfection

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Fig. 5

Two examples of buckling modes used as imperfections in the analyses

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Fig. 6

Two examples of numerically obtained failure modes by local buckling

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Fig. 7

Normalized moments as functions of the rotation angle for an ideal elastic–plastic material with D/t = 100 and σY = 200 MPa

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Fig. 8

B2 index for an ideal elastic–plastic material with D/t = 100 and σY = 200 MPa as a function of the ovality

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Fig. 9

B2 index for an ideal elastic–plastic material with D/t = 100 as a function of the yield stress

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Fig. 10

B2 index for an ideal elastic–plastic material with σY = 200 MPa as a function of the D/t-ratio

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Fig. 11

Normalized moments for a pipe of austenitic steel X6CrNiNb18-10 with D/t = 100 as a function of the rotation angle

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