This paper describes general techniques for predicting multiaxial notch stresses and strains under elastic-plastic and creep conditions. The Neuber method, which is often used in elastic-plastic analysis, has been adapted and extended for predicting creep equivalent notch stresses and strains, based on a time-stepping integration scheme. A linear interpolation method, often used in creep analysis, is adapted and extended for predicting elastic-plastic equivalent stresses and strains. Then notch principal stresses and strains are obtained by applying plasticity theory in combination with assumptions concerning the ratios of the stress or strain components. The accuracy of the predicted equivalent and principal stress and strain values are assessed by comparing predictions based on them with results obtained from finite element analyses.
TiptonS. M.NelsonD. V.Advances in multiaxial fatigue life prediction for components with stress concentrationsInt. J. Fatigue, 1997, 19, 503–515.
2.
DowlingN. E.BroseW. R.WilsonW. K.Notched member fatigue life predictions by the local strain approach in fatigue under complex loading In Advances in Engineering (Ed. WetzelR. M.), Vol. 6, 1997, pp. 55–84 (Society of Automotive Engineers, Warrendale, Pennsylvania).
PluvinageG.Fatigue and fracture emanating from notch, the use of the notch stress intensity factorJ. Nucl. Engng Des., 1998, 185, 173–184.
5.
ABAQUS User's and Theory Manuals, Version 6.3, (Hibbit, Karlsson and Sorensen, Pawtucket, Rhode Island).
6.
NeuberH.Theory of stress concentration for shear-strained prismatical bodies with arbitrary non-linear stress-strain lawTrans. ASME, J. Appl. Mechanics, 1961, 27, 544–551.
7.
HoffmannM.SeegerT.Estimating multiaxial elastic-plastic notch stresses and strains in combined loading In Biaxial and Multiaxial Fatigue, 1989, pp. 3–24 (Mechanical Engineering Publications Limited, London).
8.
HoffmanM.SeegerT.A generalised method for estimating elastic-plastic notch stresses and strains. Part 1: TheoryJ. Engng Mater. Technol, 1995, 107, 250–254.
9.
HoffmanM.SeegerT.A generalised method for estimating elastic-plastic notch stresses and strains. Part 2: Application and general discussionJ. Engng Mater. Technol., 1995, 107, 255–260.
10.
TopperT. H.WetzelR. M.MorrowJ.-D.Neuber's rule applied to fatigue of notched specimensJ. Mater., March 1969, 4 (1), 200–209.
11.
SharpeW. N.Jr.YangC. H.TregoingR. L.An evaluation of the Neuber and Glinka relations for monotonic loadingTrans. ASME, J. Appl. Mechanics, 1992, 59, S50-S56.
12.
MolskiK.GlinkaG.A method of elastic-plastic stress and strain calculation at a notch rootJ. Mater. Sci. Engng, 1981, 50, 93–100.
HydeT. H.OuH.TaylorJ. W.Prediction of elastic-plastic response of a spoke-type structure using approximate and FE methods In Proceedings of the 4th International Conference on Modern Practice in Stress and Vibration Analysis, Nottingham, UK, September 2000, pp. 459–468.
15.
HarkegardG.MannT.Neuber prediction of elastic-plastic strain concentration in notched tensile specimens under large-scale yieldingJ. Strain Analysis, 2003, 38 (1), 79–94.
16.
CalladineC. R.Rapid method for estimating the greatest stress in a structure subject to creepProc. Instn Mech. Engrs, 1963–4, 178, 198–206.
17.
PennyR. K.MarriottD. L.Design for Creep, second edition, 1995 (Chapman & Hall, London).
18.
HydeT. H.SabesanR.LeenS. B.Approximate prediction methods for notch stresses and strains under elastic-plastic and creep conditionsJ. Strain Analysis, 2004, 39 (5), 515–527.
19.
KrausH.Creep Analysis, 1980 (John Wiley, New York).
20.
EvansR. W.WilshireB.Creep of Metals and Alloys, 1984 (Institute of Metals, London).
21.
NuñezJ. E.GlinkaG.Analysis of non-localised creep induced strains and stresses in notchesEngng Fracture Mechanics, 2004, 71, 1791–1803.
22.
PetersonR. E.Stress Concentration Factors, 1974 (John Wiley, New York).
23.
HydeT. H.XiaL.BeckerA. A.Prediction of creep failure in aeroengine materials under multi-axial stress statesInt. J. Mech. Sci., 1996, 38 (4), 385–403.
24.
HydeT. H.SunW.WilliamsJ. A.Prediction of creep failure life on internally pressurised thick walled CrMoV pipesInt. J. Pressure Vessels Piping, 1999, 76, 925–933.
25.
WebsterG. A.AinsworthR. A.High Temperature Component Life Assessment, 1994 (Chapman & Hall, London).
26.
HillR.The Mathematical Theory of Plasticity, Oxford Engineering Science Series, 1950 (Clarendon, Oxford).
27.
SeegerT.HeulerP.Generalised application of Neuber's ruleJ. Test. Evaluation, July 1980, 8, 199–204.
