Abstract

Despite significant technological progress in recent years, elastic–plastic fatigue analysis of pressure-retaining components remains a time-consuming venture. Accordingly, nuclear pressure vessel design codes such as ASME Section III provide simplified elastic–plastic analysis procedures as a practical alternative. This approach can be excessively conservative under certain conditions due to the bounding nature of the applied plasticity correction factor, Ke. While this over conservatism was tolerable in the past, recent technical challenges arising due to consideration of environmentally assisted fatigue and design for long-term operation have posed difficulty in achieving acceptable fatigue usage based on extant Code assessment procedures for certain components. The incorporation of more accurate Ke factors has since been identified as a nuclear industry priority. This paper presents a critical review of Ke factors within ASME Section III, with particular attention given to an approach proposed by Ranganath, which has recently been approved for publication as an ASME Section III Code Case. Correction factors adopted within other nuclear and nonnuclear codes and standards (C&S) were also considered. The code-based Ke factors were compared with Ke factors obtained directly from various elastic–plastic finite element (FE) models of representative plant components. The results revealed a considerable difference in conservatism between the code-based methods. Based on the elastic–plastic finite element analysis (FEA) results, an alternative improved plasticity correction method is proposed in this paper. The need for a harmonized approach to determining Ke based on elastic–plastic FE analysis and further development of efficient plasticity correction methods for total life assessment are highlighted as desirable industry objectives.

References

1.
ASME
,
2017
, “
ASME Boiler and Pressure Vessel Code, Section III, Division 1
,” American Society of Mechanical Engineers, New York.
2.
Clarkson
,
D. M.
,
Asada
,
S.
,
Shi
,
J.
,
Wei
,
L.
,
Choi
,
H.
, and
Rababah
,
M.
,
2020
, “
Comparison of Fatigue Life Analysis Methods, Report 1: Comparison of Pressure Vessel Fatigue Codified Design Rules Based on S-N Approach
,” World Nuclear Association (WNA), Cooperation on Reactor Design Evaluation and Licensing (CORDEL) Working Group, Mechanical Codes and Standards Task Force (MCSTF), London, UK, Report No. 2020/004.
3.
Langer
,
B. F.
,
1970
, Design-Stress Basis for Pressure Vessels (The William M. Murray Lecture), Experimental Mechanics, Springer, Berlin.
4.
ASME
,
2009
, “
Code Case N-779: Alternative Rules for Simplified Elastic-Plastic Analysis, Class 1 Section III, Division 1
,” American Society of Mechanical Engineers, New York.
5.
Adams, S. A., 2008, “Alternative Rules for Simplified Elastic-Plastic Analysis,” ASME Code Committee Correspondence: Working Group Design Methodology, BC05-90, American Society of Mechanical Engineers, New York.
6.
Ranganath
,
S.
, and
Palm
,
N. A.
,
2017
, “
Alternative Approaches for ASME Code Simplified Elastic-Plastic Analysis
,”
ASME
Paper No. PVP2017-66240.10.1115/PVP2017-66240
7.
Grandemange
,
J. M.
,
Heliot
,
J.
,
Vagner
,
J.
,
Morel
,
A.
, and
Faidy
,
C.
,
1991
, “
WRC 361: Part 1, Improvements on Fatigue Analysis Methods for the Design of Nuclear Components Subjected to the French RCC-M Code
,” The Welding Research Council, Shaker Heights, OH.
8.
Reinhardt
,
W.
, and
Ranganath
,
S.
,
2018
, “
Comparison of New Proposal for Simplified Elastic-Plastic Analysis and Code Case N-779
,”
ASME
Paper No. PVP2018-85146.10.1115/PVP2018-85146
9.
Ranganath
,
S.
, and
Stevens
,
G.
,
2018
, “
Alternative Approaches for ASME Code Simplified Elastic-Plastic Analysis
,”
Presentation at NRC Public Meeting on EAF Research and Related ASME Activities (Rockville, MD), EPRI, Palo Alto, CA.
10.
ASME
,
2020
, “
Record 17-225, Proposed Nuclear Code Case, Alternative Rules for Simplified Elastic-Plastic Analysis in Section III,
” American Society of Mechanical Engineers, New York.
11.
AFCEN
,
2014
, “
RCC-M: Design and Construction Rules for the Mechanical Components of PWR Nuclear Islands,” French Association for Design, Construction and In-Service Inspection Rules for Nuclear Island Components (AFCEN), Paris, France.
12.
Asada
,
S.
, and
Nakamura
,
T.
,
2011
, “
Simplified Elastic-Plastic Analysis Methods in the JSME Rules on Design and Construction
,”
J. Environ. Eng.
,
6
(
4
), pp.
753
764
.10.1299/jee.6.753
13.
Saito
,
I.
, and
Shimakawa
,
T.
,
2004
, “
Outline of the JSME (Japan Society of Mechanical Engineers) Rules on Design and Construction of Nuclear Power Plants
,”
ASME
Paper No. PVP2004-2690.10.1115/PVP2004-2690
14.
JSME
,
2008
, “
Code Case NC-CC-005: Alternative Structural Evaluation Criteria for Class 1 Vessels Based on Elastic-Plastic Finite Element Analysis
,” Japan Society of Mechanical Engineers, Tokyo, Japan (in Japanese).
15.
Asada
,
S.
,
Hirano
,
T.
,
Nagata
,
T.
, and
Kasahara
,
N.
,
2010
, “
Overview of Code Case on Alternative Design Methodology by Using Elastic-Plastic Finite Element Analysis for Class 1 Vessels in the JSME Rules on Design and Construction
,”
ASME
Paper No. PVP2010-25525.10.1115/PVP2010-25525
16.
GOST
,
1987
, “
Rules of Strength Calculation for Equipment and Pipelines of Nuclear Power Plants
,” GOST, Moscow, Russia, Standard No. PNAE G-7-002-86.
17.
EDF Energy Nuclear Generation
,
2014
, “
R5, Assessment Procedures for the High Temperature Response of Structures, Revision 4
,” EDF Energy Nuclear Generation Ltd., Barnwood, Gloucestershire, UK.
18.
American Society of Mechanical Engineers
,
2015
, “ASME BPVC, Section VIII, Division 2: Alternative Rules,”
American Society of Mechanical Engineers
, New York, Standard No. Section VIII, Division 2.
19.
ASME
,
2007
, “
ASME VIII-2, Annex 5-C: Alternative Plasticity Adjustment Factors and Effective Alternating Stress for Elastic Fatigue Analysis
,” American Society of Mechanical Engineers, New York.
20.
European Committee for Standardization (CEN), 2014, “
Unfired Pressure Vessels - Part 3: Design, Clause 18: Detailed Assessment of Fatigue Life”, CEN,
Brussels, Belgium, Standard No. EN 13445.
21.
Baylac
,
G.
, and
Koplewicz
,
D.
,
2004
, “
Unfired Pressure Vessels, Background to the Rules in Part 3 Design
,” Union de Normalisation de la Mécanique, Paris, France, Standard No. EN 13445.
22.
Arbeitsgemeinschaft Druckbehälter (AD)
,
2004
, “
AD 2000-Merkblatt, Special Cases, S2: Analysis for Cyclic Loading
,” Arbeitsgemeinschaft Druckbehälter (AD), Berlin, Germany.
23.
Emslie
,
J.
,
Watson
,
C.
, and
Wright
,
K.
,
2014
, “
ASME III Fatigue Assessment Plasticity Correction Factors for Austenitic Stainless Steels
,”
ASME Paper No. PVP2014-28633.
10.1115/PVP2014-28633
24.
Jones
,
D. P.
,
Holliday
,
J. E.
,
Leax
,
T. R.
, and
Gordon
,
J. L.
,
2004
, “
Analysis of a Thermal Fatigue Test of a Stepped Pipe
,”
ASME
Paper No. PVP2004-2748.10.1115/PVP2004-2748
25.
Faidy, C., Wasylyk, A., and Rababah, M.
,
2019
, “
Non-Linear Analysis Design Rules, Part 2a: Specification of Benchmarks on Nozzles Under Pressure, Thermal, and Piping Loads
,” World Nuclear Association (WNA), Cooperation on Reactor Design Evaluation and Licensing (CORDEL) Working Group, Mechanical Codes and Standards Task Force (MCSTF), London, UK, Report No. 2019/004.
26.
Hubel
,
H.
,
2017
,
Simplified Theory of Plastic Zones Based on Zarka's Method
,
Springer
, Berlin.
27.
Kobayashi
,
K.
, and
Yamada
,
J.
,
2012
, “
Estimation of Inelastic Behavior for a Tapered Nozzle in Vessel Due to Thermal Transient Load Using Stress Redistribution Locus Method
,”
J. Solid Mech. Mater. Eng.
,
6
(
4
), pp.
278
287
.10.1299/jmmp.6.278
28.
Kasahara
,
N.
,
2001
, “
Strain Concentration at Structural Discontinuities Its Prediction Based on Characteristics of Compliance Change in Structures
,”
JSME Int. J.
,
44
(
3
), pp.
354
361
.10.1299/jsmea.44.354
29.
American Society of Mechanical Engineers
,
2015
, “
ASME BPVC Section II, Part D
,” American Society of Mechanical Engineers, New York.
30.
Dassault Systèmes Simulia
, 2017, “
ABAQUS Version 6.14-5
,” Dassault Systèmes Simulia, Vélizy-Villacoublay, France.
31.
Kalnins
,
A.
,
2008
, “
Twice-Yield Method for Assessment of Fatigue Caused by Fast Thermal Transient According to 2007 Section VIII-Division 2
,”
ASME
Paper No. PVP2008-61397.10.1115/PVP2008-61397
32.
Chopra
,
O. K.
,
1999
, “
Effects of LWR Coolant Environment on Fatigue Design Curves of Austenitic Stainless Steels
,” U.S. Nuclear Regulatory Commission (NRC), Washington, DC, Report No. NUREG/CR-5704, ANL-98/31.
33.
Chaboche
,
J. L.
,
2008
, “
A Review of Some Plasticity and Viscoplasticity Constitutive Theories
,”
Int. J. Plast.
,
24
(
10
), pp.
1642
1693
.10.1016/j.ijplas.2008.03.009
34.
Reinhardt
,
W.
,
2005
, “
Strain Measures for Fatigue Assessment Using Elastic-Plastic FEA
,”
ASME
Paper No. PVP2005-71547.10.1115/PVP2005-71547
35.
Gilman
,
T.
, and
Ku
,
F.
,
2016
, “
Environmentally-Assisted Fatigue Analysis Using a Strain-Based Approach
,”
ASME
Paper No. PVP2016-63861.10.1115/PVP2016-63861
36.
Dowling
,
N. E.
,
2012
,
Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue
, 4th ed.,
Pearson
, London, UK.
37.
Lang
,
H.
,
Rudolph
,
J.
, and
Ziegler
,
R.
,
2011
, “
Performance Study of Ke Factors in Simplified Elastic Plastic Fatigue Analyses With Emphasis on Thermal Cyclic Loading
,”
Int. J. Pressure Vessels Piping
,
88
(
8–9
), pp.
330
347
.10.1016/j.ijpvp.2011.06.008
38.
Clarkson
,
D. M.
,
Mackenzie
,
D.
, and
Bell
,
C. D.
,
2019
, “
Performance Study of Design Code Rules for Simplified Elastic-Plastic Fatigue Analysis of Nuclear Power Plant Pressure Vessels
,” Presentation at
ESIA15 & ISSI-2019 Joint Conference on Engineering Structural Integrity Assessment
, May, Granta Park, Cambridge, UK.
39.
EDF Energy Nuclear Generation Ltd.
,
2003
, “
R5 V2/3 Appendix A7, Enhancement of Strain Range Due to Plasticity and Creep
,” EDF Energy Nuclear Generation Ltd., Barnwood, Gloucestershire, UK.
40.
Matthews
,
D. E.
,
Hill
,
R. S.
, and
Bruny
,
C. W.
,
2018
, “
2025 Nuclear Code: The Vision for the Future of ASME Nuclear Codes and Standards
,”
ASME
Paper No. PVP2018-84031.10.1115/PVP2018-84031
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