An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects

An analytically formulated structural strain method is presented for performing fatigue evaluation of welded components by incorporating nonlinear material hardening effects by means of a modified Ramberg‐Osgood power law hardening model. The modified Ramberg‐Osgood model enables a consistent partit...

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Published in:Fatigue & Fracture of Engineering Materials & Structures
Main Authors: Pei, Xianjun, Dong, Pingsha
Format: Article in Journal/Newspaper
Language:unknown
Published: Abington Publishing 2019
Subjects:
Online Access:https://hdl.handle.net/2027.42/146966
https://doi.org/10.1111/ffe.12900
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author Pei, Xianjun
Dong, Pingsha
author_facet Pei, Xianjun
Dong, Pingsha
author_sort Pei, Xianjun
collection Unknown
container_issue 1
container_start_page 239
container_title Fatigue & Fracture of Engineering Materials & Structures
container_volume 42
description An analytically formulated structural strain method is presented for performing fatigue evaluation of welded components by incorporating nonlinear material hardening effects by means of a modified Ramberg‐Osgood power law hardening model. The modified Ramberg‐Osgood model enables a consistent partitioning of elastic and plastic strain increments during both loading and unloading. For supporting 2 major forms of welded structures in practice, the new method is applied for computing structural strain defined with respect to a through‐thickness section in plate structures and cross section in piping systems. In both cases, the structural strain is formulated as the linearly deformation gradient on their respective cross sections, consistent with the “plane sections remain plane” assumption in structural mechanics. The structural strain‐based fatigue parameter is proposed and has been shown effective in correlating some well‐known low‐cycle and high‐cycle fatigue test data, ranging from gusset‐to‐plate welded plate connections to pipe girth welds. Peer Reviewed https://deepblue.lib.umich.edu/bitstream/2027.42/146966/1/ffe12900.pdf https://deepblue.lib.umich.edu/bitstream/2027.42/146966/2/ffe12900_am.pdf
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op_doi https://doi.org/10.1111/ffe.12900
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doi:10.1111/ffe.12900
Fatigue & Fracture of Engineering Materials & Structures
Basan R, Franulović M, Prebil I, Kunc R. Study on Ramberg‐Osgood and Chaboche models for 42CrMo4 steel and some approximations. J Constr Steel Res. 2017; 136: 65 ‐ 74.
Dong P, Cao Z, Hong JK. Low‐cycle fatigue evaluation using the weld master SN curve. In: ASME 2006 pressure vessels and piping/ICPVT‐11 conference. American Society of Mechanical Engineers; 2006, January: 237 ‐ 246.
Markl ARC. Fatigue tests of piping components. Trans ASME. 1952; 74: 287 ‐ 303.
Scavuzzo, R.J., Srivatsan, T.S., and Lam, P.C., Fatigue of butt‐welded pipe, Report 1 in Fatigue of Butt‐Welded Pipe and Effect of Testing Methods, Weld Res Counc Bull 433, July 1998.
Dong P, Yang X. A master SN curve representation of subsea umbilical tube weld fatigue data. In: ASME 2010 29th international conference on ocean, offshore and Arctic engineering. American Society of Mechanical Engineers; 2010, January: 177 ‐ 184.
Gas Transmission and Distribution Piping Systems, ASME B31.8–2003, American Society of Mechanical Engineers, 2003
Dong P, Pei X, Xing S, Kim MH. A structural strain method for low‐cycle fatigue evaluation of welded components. Int J Press Vessel Pip. 2014; 119: 39 ‐ 51.
Pei X, Wang W, Dong P. An analytical‐based structural strain method for low cycle fatigue evaluation of girth‐welded pipes. In: ASME 2017 pressure vessels and piping conference. American Society of Mechanical Engineers; 2017, July: V03BT03A015 ‐ V03BT03A015.
Dong P, Pei X, Xing S. A structural strain method for fatigue evaluation of welded components. In: ASME 2014 33rd international conference on ocean, offshore and Arctic engineering. American Society of Mechanical Engineers; 2014, June: V005T03A037 ‐ V005T03A037.
American Society of Mechanical Engineers, 1997, ASME Boiler and Pressure Vessel code, Section 3, Rules for Construction of Nuclear Power Plant Components, NB, Class 1 Components and Section VIII, Rules for Construction of Pressure Vessels, Division 2‐Alternate Rules.
Ramberg, Walter, and William R. Osgood. Description of stress‐strain curves by three parameters. ( 1943 ).
Liu N, Jeffers AE. Adaptive isogeometric analysis in structural frames using a layer‐based discretization to model spread of plasticity. Comput Struct. 2018; 196: 1 ‐ 11.
Zappalorto M, Maragoni L. Nonlinear mode III crack stress fields for materials obeying a modified Ramberg‐Osgood law. Fatigue Fract Eng Mater Struct. 2018; 41 ( 3 ): 708 ‐ 714.
Qian L. Principle of complementary energy. Sci China Ser A. 1950; 1 ( 2 ): 449 ‐ 456.
Simo JC, Hughes TJ. Computational Inelasticity. 7 Springer Science & Business Media; 2006.
Hibbit Karlson, Sorensen Inc, ABAQUS Version 6. 12, 2003.
James LA. Ramberg‐Osgood strain‐hardening characterization of an ASTM A302‐B steel. J Press Vessel Technol. 1995; 117 ( 4 ): 341 ‐ 345.
Harrison, J. D. Fatigue performance of welded high strength steels, a compendium of reports from sponsored research programme. The Welding Institute, Abington Hall, Arbinton, Cambridge CBI 6AL, England ( 1974 ).
Hinnant, Chris, and Tony Paulin. Experimental evaluation of the markl fatigue methods and ASME piping stress intensification factors. ASME 2008 Pressure vessels and piping conference. American Society of Mechanical Engineers, 2008.
Osage DA, Dong P, Spring D. Fatigue assessment of welded joints in API 579‐1/ASME FFS‐1 2016‐existing methods and new developments. Procedia Engineering. 2018; 213: 497 ‐ 538.
Pei, X and Dong, P, Application of structural strain method for fatigue evaluation of welded components of different materials (to be submitted)
Dong P. A structural stress definition and numerical implementation for fatigue analysis of welded joints. International Journal of Fatigue. 2001; 23 ( 10 ): 865 ‐ 876.
Code of practice for fatigue design and assessment of steel structures. BS7608, British Standards Institution, 1993.
Design of steel structures—part 1‐1. ENV 1993‐1‐1. Eurcode 3, European Committee for Standardization, Brussels, 1992.
Hobbacher A. Fatigue Design of Welded Joints and Components: Recommendations of IIW Joint Working Group XIII–XV. Abington, Cambridge: Abington Publishing; 1996.
Hobbacher A. Basic philosophy of the new IIW recommendations on fatigue design of welded joints and components. Welding in the World. 1997; 39 ( 5 ): 272 ‐ 278.
Radaj D. Review of fatigue strength assessment of non‐welded and welded structures based on local parameters. Int J Fatigue. 1996; 18 ( 3 ): 153 ‐ 170.
Lawrence FV, Mattos RJ, Higashida Y, Burk JD. Estimating the fatigue crack initiation life of welds. ASTM STP. 1978; 648: 134 ‐ 158.
Dong P, Hong JK, De Jesus AM. Analysis of recent fatigue data using the structural stress procedure in ASME div 2 rewrite. J Press Vessel Technol. 2007; 129 ( 3 ): 355 ‐ 362.
AASHTO. LRFD. AASTO LRFD Bridge Design Specifications. 3rd ed. D.C.: Washington; 2004.
Zhang G, Richter B. A new approach to the numerical fatigue‐life prediction of spot‐welded structures. Fatigue Fract Eng Mater Struct. 2000; 23 ( 6 ): 499 ‐ 508.
ZHANG, GENBAO, Martin EIBL, and Sumanjit SINGH. Methods of predicting the fatigue lives of laser‐beam welded lap welds subjected to shear stresses. Weld Cut 2 ( 2002 ): 96 – 103.
Morgenstern C, Sonsino CM, Hobbacher A, Sorbo F. Fatigue design of aluminium welded joints by the local stress concept with the fictitious notch radius of rf= 1 mm. Int J Fatigue. 2006; 28 ( 8 ): 881 ‐ 890.
Schmidt H, Baumgartner J, Melz T. Fatigue assessment of joints using the local stress field. Materialwissenschaft Und Werkstofftechnik. 2015; 46 ( 2 ): 145 ‐ 155.
Dong P, Hong JK, Cao Z. Stresses and stress intensities at notches: ‘anomalous crack growth’ revisited. Int J Fatigue. 2003; 25 ( 9–11 ): 811 ‐ 825.
Mei J, Dong P. An equivalent stress parameter for multi‐axial fatigue evaluation of welded components including non‐proportional loading effects. Int J Fatigue. 2017; 101: 297 ‐ 311.
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spelling ftumdeepblue:oai:deepblue.lib.umich.edu:2027.42/146966 2025-06-15T14:17:46+00:00 An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects Pei, Xianjun Dong, Pingsha 2019-01 application/pdf https://hdl.handle.net/2027.42/146966 https://doi.org/10.1111/ffe.12900 unknown Abington Publishing Wiley Periodicals, Inc. https://hdl.handle.net/2027.42/146966 doi:10.1111/ffe.12900 Fatigue & Fracture of Engineering Materials & Structures Basan R, Franulović M, Prebil I, Kunc R. Study on Ramberg‐Osgood and Chaboche models for 42CrMo4 steel and some approximations. J Constr Steel Res. 2017; 136: 65 ‐ 74. Dong P, Cao Z, Hong JK. Low‐cycle fatigue evaluation using the weld master SN curve. In: ASME 2006 pressure vessels and piping/ICPVT‐11 conference. American Society of Mechanical Engineers; 2006, January: 237 ‐ 246. Markl ARC. Fatigue tests of piping components. Trans ASME. 1952; 74: 287 ‐ 303. Scavuzzo, R.J., Srivatsan, T.S., and Lam, P.C., Fatigue of butt‐welded pipe, Report 1 in Fatigue of Butt‐Welded Pipe and Effect of Testing Methods, Weld Res Counc Bull 433, July 1998. Dong P, Yang X. A master SN curve representation of subsea umbilical tube weld fatigue data. In: ASME 2010 29th international conference on ocean, offshore and Arctic engineering. American Society of Mechanical Engineers; 2010, January: 177 ‐ 184. Gas Transmission and Distribution Piping Systems, ASME B31.8–2003, American Society of Mechanical Engineers, 2003 Dong P, Pei X, Xing S, Kim MH. A structural strain method for low‐cycle fatigue evaluation of welded components. Int J Press Vessel Pip. 2014; 119: 39 ‐ 51. Pei X, Wang W, Dong P. An analytical‐based structural strain method for low cycle fatigue evaluation of girth‐welded pipes. In: ASME 2017 pressure vessels and piping conference. American Society of Mechanical Engineers; 2017, July: V03BT03A015 ‐ V03BT03A015. Dong P, Pei X, Xing S. A structural strain method for fatigue evaluation of welded components. In: ASME 2014 33rd international conference on ocean, offshore and Arctic engineering. American Society of Mechanical Engineers; 2014, June: V005T03A037 ‐ V005T03A037. American Society of Mechanical Engineers, 1997, ASME Boiler and Pressure Vessel code, Section 3, Rules for Construction of Nuclear Power Plant Components, NB, Class 1 Components and Section VIII, Rules for Construction of Pressure Vessels, Division 2‐Alternate Rules. Ramberg, Walter, and William R. Osgood. Description of stress‐strain curves by three parameters. ( 1943 ). Liu N, Jeffers AE. Adaptive isogeometric analysis in structural frames using a layer‐based discretization to model spread of plasticity. Comput Struct. 2018; 196: 1 ‐ 11. Zappalorto M, Maragoni L. Nonlinear mode III crack stress fields for materials obeying a modified Ramberg‐Osgood law. Fatigue Fract Eng Mater Struct. 2018; 41 ( 3 ): 708 ‐ 714. Qian L. Principle of complementary energy. Sci China Ser A. 1950; 1 ( 2 ): 449 ‐ 456. Simo JC, Hughes TJ. Computational Inelasticity. 7 Springer Science & Business Media; 2006. Hibbit Karlson, Sorensen Inc, ABAQUS Version 6. 12, 2003. James LA. Ramberg‐Osgood strain‐hardening characterization of an ASTM A302‐B steel. J Press Vessel Technol. 1995; 117 ( 4 ): 341 ‐ 345. Harrison, J. D. Fatigue performance of welded high strength steels, a compendium of reports from sponsored research programme. The Welding Institute, Abington Hall, Arbinton, Cambridge CBI 6AL, England ( 1974 ). Hinnant, Chris, and Tony Paulin. Experimental evaluation of the markl fatigue methods and ASME piping stress intensification factors. ASME 2008 Pressure vessels and piping conference. American Society of Mechanical Engineers, 2008. Osage DA, Dong P, Spring D. Fatigue assessment of welded joints in API 579‐1/ASME FFS‐1 2016‐existing methods and new developments. Procedia Engineering. 2018; 213: 497 ‐ 538. Pei, X and Dong, P, Application of structural strain method for fatigue evaluation of welded components of different materials (to be submitted) Dong P. A structural stress definition and numerical implementation for fatigue analysis of welded joints. International Journal of Fatigue. 2001; 23 ( 10 ): 865 ‐ 876. Code of practice for fatigue design and assessment of steel structures. BS7608, British Standards Institution, 1993. Design of steel structures—part 1‐1. ENV 1993‐1‐1. Eurcode 3, European Committee for Standardization, Brussels, 1992. Hobbacher A. Fatigue Design of Welded Joints and Components: Recommendations of IIW Joint Working Group XIII–XV. Abington, Cambridge: Abington Publishing; 1996. Hobbacher A. Basic philosophy of the new IIW recommendations on fatigue design of welded joints and components. Welding in the World. 1997; 39 ( 5 ): 272 ‐ 278. Radaj D. Review of fatigue strength assessment of non‐welded and welded structures based on local parameters. Int J Fatigue. 1996; 18 ( 3 ): 153 ‐ 170. Lawrence FV, Mattos RJ, Higashida Y, Burk JD. Estimating the fatigue crack initiation life of welds. ASTM STP. 1978; 648: 134 ‐ 158. Dong P, Hong JK, De Jesus AM. Analysis of recent fatigue data using the structural stress procedure in ASME div 2 rewrite. J Press Vessel Technol. 2007; 129 ( 3 ): 355 ‐ 362. AASHTO. LRFD. AASTO LRFD Bridge Design Specifications. 3rd ed. D.C.: Washington; 2004. Zhang G, Richter B. A new approach to the numerical fatigue‐life prediction of spot‐welded structures. Fatigue Fract Eng Mater Struct. 2000; 23 ( 6 ): 499 ‐ 508. ZHANG, GENBAO, Martin EIBL, and Sumanjit SINGH. Methods of predicting the fatigue lives of laser‐beam welded lap welds subjected to shear stresses. Weld Cut 2 ( 2002 ): 96 – 103. Morgenstern C, Sonsino CM, Hobbacher A, Sorbo F. Fatigue design of aluminium welded joints by the local stress concept with the fictitious notch radius of rf= 1 mm. Int J Fatigue. 2006; 28 ( 8 ): 881 ‐ 890. Schmidt H, Baumgartner J, Melz T. Fatigue assessment of joints using the local stress field. Materialwissenschaft Und Werkstofftechnik. 2015; 46 ( 2 ): 145 ‐ 155. Dong P, Hong JK, Cao Z. Stresses and stress intensities at notches: ‘anomalous crack growth’ revisited. Int J Fatigue. 2003; 25 ( 9–11 ): 811 ‐ 825. Mei J, Dong P. An equivalent stress parameter for multi‐axial fatigue evaluation of welded components including non‐proportional loading effects. Int J Fatigue. 2017; 101: 297 ‐ 311. IndexNoFollow modified Ramberg‐Osgood model mesh‐insensitive method stress concentration structural strain method low‐cycle fatigue Materials Science and Engineering Engineering Article 2019 ftumdeepblue https://doi.org/10.1111/ffe.12900 2025-06-04T05:59:21Z An analytically formulated structural strain method is presented for performing fatigue evaluation of welded components by incorporating nonlinear material hardening effects by means of a modified Ramberg‐Osgood power law hardening model. The modified Ramberg‐Osgood model enables a consistent partitioning of elastic and plastic strain increments during both loading and unloading. For supporting 2 major forms of welded structures in practice, the new method is applied for computing structural strain defined with respect to a through‐thickness section in plate structures and cross section in piping systems. In both cases, the structural strain is formulated as the linearly deformation gradient on their respective cross sections, consistent with the “plane sections remain plane” assumption in structural mechanics. The structural strain‐based fatigue parameter is proposed and has been shown effective in correlating some well‐known low‐cycle and high‐cycle fatigue test data, ranging from gusset‐to‐plate welded plate connections to pipe girth welds. Peer Reviewed https://deepblue.lib.umich.edu/bitstream/2027.42/146966/1/ffe12900.pdf https://deepblue.lib.umich.edu/bitstream/2027.42/146966/2/ffe12900_am.pdf Article in Journal/Newspaper Arctic Unknown Ramberg ENVELOPE(13.230,13.230,68.090,68.090) Fatigue & Fracture of Engineering Materials & Structures 42 1 239 255
spellingShingle modified Ramberg‐Osgood model
mesh‐insensitive method
stress concentration
structural strain method
low‐cycle fatigue
Materials Science and Engineering
Engineering
Pei, Xianjun
Dong, Pingsha
An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
title An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
title_full An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
title_fullStr An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
title_full_unstemmed An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
title_short An analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
title_sort analytically formulated structural strain method for fatigue evaluation of welded components incorporating nonlinear hardening effects
topic modified Ramberg‐Osgood model
mesh‐insensitive method
stress concentration
structural strain method
low‐cycle fatigue
Materials Science and Engineering
Engineering
topic_facet modified Ramberg‐Osgood model
mesh‐insensitive method
stress concentration
structural strain method
low‐cycle fatigue
Materials Science and Engineering
Engineering
url https://hdl.handle.net/2027.42/146966
https://doi.org/10.1111/ffe.12900