Stoyanov, Miroslav (2013) Investigation Of Small Punch Creep Testing .

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The University ofNottinghamUNITED KINGDOM· CHINA· MALAYSIAINVESTIGATION OF SMALL PUNCH CREEP TESTINGMIROSLAVSTOYANOVBEng. (Mechanical Engineering)Thesis submitted to the University of Nottinghamfor the degree of Doctor of PhilosophyDECEMBER 2012

ABSTRACTCreep in metals has been a major engineering problem for many years. Most ofthe creep failures which occur at high temperature are in welds, due to creep.Assessing the damage level of in-service components and obtaining materialproperties for welded structures exposed to creep is essential for the safeoperating of power generation industry. Standard creep testing techniquesrequire relatively large volumes of material for the machining of testingsamples. For that reason they are not usually suitable for obtaining creepproperties of in-service structures. It has been found that significant amount ofthe failures in welds exposed to elevated temperatures occur in an area formeddue to the complex thermal and cooling cycles during the welding process.Because of this a different approach is needed for the derivation of creepproperties from small amounts of metal. The small punch creep testing methodis considered to be a, potentially, powerful technique for obtaining creep andcreep rupture properties of in-service welded components. However, relatingsmall punch creep test data to the corresponding uniaxial creep data has notproved to be simple and a straightforward approach is required.The small punch creep testing method is highly complex and involvesinteractions between a number of non-linear processes. The deformed shapesthat are produced from such tests are related to the punch and specimendimensions and to the elastic, plastic, and creep behaviour of the test material,under contact and large deformation conditions, at elevated temperature.Owing to its complex nature, it is difficult to interpret small punch creep test1

data in relation to the corresponding uniaxial creep behaviour of the material.One of the aims of this research is to identify the important characteristics ofthe creep deformation results from 'localized' deformations and from the'overall' deformation of the specimen. For this purpose, the results ofapproximate analytical methods, experimental tests and detailed finite elementanalyses, of small punch tests, have been obtained. It is shown that the regionsof the uniaxial creep test curves dominated by primary, secondary and tertiarycreep are not those that are immediately apparent from the displacement versustime records produced during a small punch test. On the basis of theinterpretation of the finite element results presented, a method based on thereference stress approach is proposed for interpreting the result of small punchexperimental test data and relating it to the corresponding uniaxial creep data.Another aim of this study is to investigate the effect of friction between thesample and the punch as well as the effects of the basic dimensions, on thesmall punch creep testing data.2

ACKNOWLEDGEMENTSI would like to take this opportunity to express my sincere appreciationto the following people who have helped me in the preparation of this PhDthesis during the course of this research.First, I would like to give my deepest thanks and appreciation toProfessor T. H. Hyde, my supervisor. He offered me his invaluable guidance,patience and support during the course of this research.I would also like to acknowledge the support, expertise, encouragementand advice that have been given to me in the project by Associate Professor W.Sun, my second supervisor.Also, I would like to acknowledge the support of EPSRC through theSupergen programme and the University of Nottingham for providing me withthe opportunity to do this work and for financial support for the research work.I would like to thank my parents for their never ending faith and all ofmy friends for their support throughout the project, especially Shukri Afazov.3

CONTENTSABSTRACT . 1-2ACKNOLEDGEMENTS . 3NOMEN CLATURE . 8-9CHAPTER 1 INTRODUCTION. 10-16CHAPTER 2 LITERATURE REVIEW. 17-462.1Tensile Uniaxial Tests . 172.2Cross - Weld Tests . 202.3Small Scale Specimen Tests . 242.3.1Impression creep tests . 262.3.2Small punch creep tests . 272.4Basics of Damage Mechanics . 302.4.1Single damage parameter constitutive equations . 332.4.2 Material constants calculation . 342.4.3Reference stress method . 37CHAPTER 3 INTERPRETATION OF RESULTS FROM SMALLPUNCH CREEP TESTS . 46-1063.1General Description of Small Punch Test SpecimenBehaviour. . 464

3.1.1Problem definition . 463.1.2Approximate theoretical models . 473.1.3Estimate of "general" strain levels and membrane stresses in aSPT specimen . 483.1.4.1 Ductile failure ofa uniaxial specimen obeying a Norton's creeplaw . 483.1.4.2 Brittle failure ofa uniaxial specimen obeying a Norton's creeplaw and Kachanov damage model. . 493.1.5A qualitative explanation for the shape of an SPT creepcurve . 503.2Finite Element Modelling . 503.2.1Finite element analysis details . 513.2.2Elastic-creep behaviour . 523.2.2.1 Norton creep model . 523.2.2.2 Single damage-parameter creepmodel. . 553.3Application of the Reference Stress Method . 573.3.1Basis of the reference stress method . 583.3.2Inferring uniaxial behaviour from small punch specimentests . 605

3.3.3Reference, stress ure! and multiplier, D, related to the minimumdisplacement rate, Li min , in a SPT . 643.3.4 Variation ofa and with /Jja p . 673.4Discussion. 683.4.1The equivalent uniaxial stress . 703.4.2Converting SPT displacements to corresponding uniaxial creepstrains . 733.5Conclusions . 77CHAPTER 4 FINITE ELEMENT ANALYSES . 107-1204.1Liu and Murakami Creep Damage ModeL . 1074.2General Methodology for Obtaining Creep Properties . 1084.3FE Analyses for Eon Testing Rig . :. 1094.4FE analyses for Tinius Testing Rig . 1114.5Discussion and Conclusions . 112CHAPTER 5 PARAMETRIC ANALYSES OF SMALL PUNCHCREEP TESTS . 121-1395.1Typical Specimen Behaviour. 1235.1.1Problem definition . 1245.1.2 Typical behaviour. 1246

5.1.3Typical specimen dimensions . 1255.2Finite Element Analyses . 1255.3Finite Element Results . ,. 1255.3.1Illustrative results and uniaxial behaviour. 1265.3.2Relationship between minimum deformation rate and load . 1265.3.3Relationship between failure life and load . 1275.3.4Effects of the dimension Rs/a p and to/a p . 1275.3.5Effect offriction. 1285.4Discussion and Conclusions . 128CHAPTER 6 EXPERIMENTAL VERIFICATION . . . . 140-1496.1Experimental Equipment and Procedures . 1416.2Testing Results and Discussion . 1436.3Conclusion . 144CHAPTER 7 DISCUSSIONS and CONCLUSIONS . 150-152REFEREN CES . 1537

NOMENCLATUREtemperatures defining the formation of y phase in steelconstants in Norton's creep lawBM,HAZ,WMbase material, heat-affected zone, and weld metalrespectivelyDreference multiplierEYoung's modulusEomodulus of elasticity for undamaged materialFEFinite elementKscorrection factor for membrane stressM,cpconstants in the Kachanov damage modelP,P Lload and limit loadQthe activation energyq2constant in the Liu and Murakami damage modelRthe Boltzmann constantSijdeviatoric stressSCFstress concentration factorSPTsmall punch testTabsolute temperatureTppeak temperaturet, tftime and failure timeap, Rs, to,Ddimensions of small punch specimens8

displacementdisplacement rate and minimum displacement rate,creep strain ratreference stress scaling factor or material constant inaKachanov damage model ,11reference conversion parametersXconstant in the Kachanov damage modelJ.lcoefficient of friction()cone angeE, EC,Eeng , E C eq' Emstrain, creep strain engineering strain, equivalent creepstrain, and mean strain respectivelystrain rate, minimum creep strain rate, and strain rate atreference stress respectivelystress, meridional membrane stress, and yield stressrespectivelymaximum principal stress and von-Mises equivalentstressnominal stress and initial (nominal) stressR(Jref, (J refreference stress and rupture reference stressro,cOdamage variable and damage rate in Kachanov damagemodel9

CHAPTER 1. INTRODUCTIONThe growth of any economy requires an efficient and uninterrupted supply ofelectricity. Major technological advances and the increasing population, ingeneral, lead to steep rises in the amount of power being consumed. Thecommon types of power stations in UK are nuclear, fossil fired and hydroelectrical. The future of nuclear energy is uncertain because the consequencesof accidents (e.g. Chernobyl, Fukushima). Another technological problem isrelated to the radioactive waste and the cost for storage and recycling it. A lotof effort and resources have been used in the development of renewable andgreen sources of energy. However, fossil fired power stations are still a mainsource for the supply of electricity. There are strict environmental requirementsapplied to those power plants, i.e. they have to produce power with reducedeffect on the environment, by controlling the levels of exhaust gases releasedfrom the plant. The present power stations therefore need to provide a reliableand constant supply of power, while at the same time maintaining a safeoperating environment. These new policies, relating to environmentalprotection and to the safety at work, together with major advances in analyticaltechniques for life assessment (which suggest the initial safety factors of theseplants were excessively conservative) have made it more profitable to invest inthe modernisation of existing plants rather than in building new ones.However, such modernisation only makes economic sense if existing plantshave sufficient residual life. Therefore, reducing the u certainty in evaluatingremaining plant life is of primary importance to the power generating industry.This can be achieved by understanding the reasons for failure and preventing10

them. The kind of failures which are relevant here are long term failuresgenerally occurring with normal operating conditions, mainly due to thematerial degradation during service. Fossil fuel power stations have boilers andsteam generators. The boiler section consists of many kilometres of tubing. Aboiler section in repair is shown in Fig. 1.1. A schematic diagram of coal-firedpower plant is illustrated in Fig. 1.2. The working principle of those plantsinvolve water, which is heated up in the boiler into steam usually attemperature between 560 and 600 0 C and at pressure up to 30MPa. Then thesteam drives the turbine which in turn powers the connected generator. Thesteam is, after it has expended its energy in the turbine, liquefied in thecondenser at ambient temperature. In some cases the steam from the boiler canbe passed through a re-heater or a super heater, where it is heated up further toproduce a higher temperature and pressure. From the above, it is clear that thecomponents of the boiler, re-heater and the turbine are subjected to highoperating pressures and temperatures, thereby making them vulnerable to creepfailure. In addition to these main components, the plant also contains straightand branched pipes which are susceptible to failure. One of the main reasonsfor failure of welded constructions in power stations is high temperature creep.Creep in metals is the deterioration of materials under load and exposed toelevated temperatures for extended periods of time. The phenomenon of creepis most relevant to welded components in the power generating and nuclearindustries, where the equipment includes steam. pipes, boiler and heatexchanger tubes, which are subj ected to high operating temperatures of around560 and 600 0 C, for periods of over fifteen to twenty years. Assessment ofcreep and fatigue interaction is also a major area of concern in other industrial11

and aerospace components such as gas turbines. Since many conventional, hightemperature plants, in power generating industries, have now been operatingfor periods in excess of 150,000 hrs, i.e. near the end of their original designlife, there is an increasing risk of failure of steam piping components due tocreep. As a result of this, interest in innovative and efficient life assessmenttechniques, which can enhance the safety and help to improve the creepresistance of components, has increased.Most creep studies use theoretical and analytical techniques as well as actualexperimental testing in order to: a) assess the level of material deterioration andthe remaining creep life of in-service components; b) improve the design ofnew components. Life assessment methods form an integral part in thedevelopment of design codes and life extension technology for ageing plant.These life assessment techniques involve conducting experimental tests onspecimens, at a desired temperature. Material tests are relatively short andrequire the extrapolation of the results in order to predict the life of thecomponents. Welds and welded components are essential parts of any powerstation. The development of fusion welding technology had enabled theconstruction of large plants, which consist of large pipes welded together. Boththe parent and weld metals of existing pipes are mostly made from low alloyferritic steels such as CrMoV. However, a new creep resistant high chromiumalloy steel called P91 was developed in the late 1970s in order to extend theoperating life and the efficiency of power plants.P91, which contains 9% chromium, 1% molybdenum with additions ofniobium and vanadium, is utilized in conventional power stations for pipingsystems with operating temperatures of about 600 0 C and high pressures in the12

range of 270 bar. The premature failure of welded and individual componentsof these materials has been a problem for engineers and researchers for a longtime. The higher quality of the weld metal in comparison with the base metalof the welded component cannot guarantee the integrity of the weldedconstruction. A basic weld has a heterogeneous structure which is formed dueto the complex heating and cooling cycles taking place during the weldingprocess. Obtaining properties for those various material zones and predictingtheir behaviour is the key to accurate and reliable creep life assessments.Previous studies of failures in welds [1-3] show that the most vulnerable zonefor creep micro voids and micro cracks is the so called heat-affected zone(HAZ). The testing of small scale creep specimens is potentially one of themost useful approaches for deriving the creep properties of HAZ's. A varietyof creep testing techniques are reviewed in the next chapter. However, standarduniaxial creep tests are not suitable for the purpose of obtaining properties forthe various material zones of welds, because they require large volumes ofmetal, which is not available in those zones. Another conventional creeptesting method is the testing of cross-welded specimens. That techniqueprovides useful information for the likely failure location in welds, but it is notappropriate for the derivation of material properties. Many components inconventional and nuclear power plant, chemical plant and aeroengines, forexample, operate at temperatures high enough for creep strains, creep damage,microstructure degradation etc. to occur [4]. These phenomena may result inthe premature failure of components [5]. Hence, non - destructive testing isoften carried out as part of remaining plant life assessment processes [6]. Forsome components it is possible to extract small samples of material without13

significantly reducing the integrity of the structure from which the material istaken [6]. Also, in some regions, such as the heat - affected zones of welds [7],the amount of material which exists may be small. Similarly, when new alloysare being developed, it may only be viable to manufacture small quantities ofthe material. As a result, a number of attempts have been made to devise smallspecimen tests for determining mechanical properties from small materialsamples [8].The main goal of the present research is to study the small punch creep testingmethod in detail by means of both analytical and experimental testingapproaches. It is also an aim to provide a straightforward technique for relatingthe small punch creep data to the corresponding uniaxial data.Chapter 2 consists of a description of the main problems of the powergenerating industry. A literature survey has been made for the main creeptesting techniques and different evaluation methods with their advantages andweaknesses. Chapter 2 also describes damage constitutive equations and creepmaterial constant calculation approaches.Detailed numerical and finite element analyses of small punch creep tests havebeen presented in Chapter 3. A technique based on the reference stress methodhas been suggested for the interpretation of the small punch creep test data tothe corresponding uniaxal creep data.Further finite element results of.small punch creep tests using the Liu andMurakami damage model have been described in Chapter 4. The geometries oftwo small punch test set-ups under different coefficients of friction have beeninvestigated in order to show their effect on the creep data response.14

The effect of the geometry of small punch creep testing set-up on the creepdata has been analysed in Chapter 5. A set of parametric FE analyses has beenrun and the results have been investigated.Chapter 6 is dedicated to the creep testing of actual small punch specimens.The testing rig and experimental procedures have been outlined in this chapter.All of the samples have been manufactured from a P91 (bar 257) steel.15

Fig. 1.1 Fossil fuel power plant boiler.\/11.'pow t pI litt 1\' at r Supp yFig. 1.2 Schematic Diagram of coal-fired power plant.16

CHAPTER 2. LITERATURE REVIEW2.1Uniaxial Tensile TestsCreep is the tendency of a solid material to slowly and permanently deformunder the influence of stresses. It occurs as a result of long term exposure tohigh levels of stress that may be below the yield strength of the material. Creepis more severe in materials that are subjected to elevated temperature for longperiods. When a material like steel is plastically deformed at ambienttemperatures its strength may be increased due to work hardening. This workhardening effectively prevents any further deformation from taking place if thestress remains approximately constant. Annealing the deformed steel at anelevated temperature removes the work hardening. However if the steel isplastically deformed at an elevated temperature, then both work hardening andannealing take place simultaneously. A consequence of this is that steel under aconstant stress, at an elevated temperature, will continuo';lsly deform with time[1,2,3], it is said to 'creep'.In general, creep becomes significant at temperatures above about O.4Trn,where Trn is the absolute melting temperature. Conceptually, a creep test issimple: Apply a force to a test specimen and measure its dimensional change(extension) over time with exposure to a relatively high temperature. A typicalextension - time curve is shown in Fig. 2.1.Three regions can be identified on the curve:Stage IPrimary Creep - creep proceeds at a diminishing rate due towork hardening of the metal.17

Stage IISecondary Creep - creep proceeds at a constant rate because abalance is achieved between the work hardening and annealing(thermal softening) processes.Stage IIITertiary Creep - the creep rate increases due to damage andnecking of the specimen and the associated increase in localstress.In terms of dislocation theory, dislocations are being generated continuously inthe primary stage of creep. With increasing time, more and more dislocationsare present and they produce an increasing interference with the movement ofothers, thus causing the creep rate to decrease. In the secondary stage, asituation arises where the number of dislocations being generated is equal tothe number of dislocations being annealed out. This dynamic equilibriumcauses the metal to creep at a constant rate. Eventually, however, the creep rateincreases and the specimen fails due to localized necking, void and micro crackformation at the grain boundaries and the various metallurgical effects such ascoarsening of precipitates [4-7].When in service, it is desirable to ensure that engineering components shouldnot enter into the tertiary stage of creep. It is therefore the secondary creep rate,which is usually of prime importance as a design criterion. Components, whichare subject to creep, spend most of their lives in the primary and secondarystages, so it follows that the metals or alloys chosen for such componentsshould have as small a secondary creep rate as possible. In general, it is thesecondary creep rate, which determines the life of a given component [8, 9].18

The life assessment, and the design of components operating in creepenvironments is complicated and involves numerical and finite elementapproaches and analyses as well as experimental testing techniques. Manyforms of creep constitutive equations have been developed from fundamentalconcepts that the creep strain rate at any instant is a function of stress (0), time(t) and temperature (1). These equations are expressed as combinationfunctions of one or more of the above three parameters. Therefore, anygeneralized creep law must have the form [1].(2.1)Some of the most common forms for the case of a dependence on the stressfunction are summarized below:f1(a) Aan (Norton [10])f1(a) A sinh (a/ao) (Mc Vetty [11])ft(a) C'exp(a/ao) (Dom [12])f1(a) A{sinh(a/ao)}m (Garofalo [13])where A, n, C' and m are material constants.The most commonly used of the above is the function developed by Norton[10], which describes the dislocation theory of creep better than any other laws.Some commonly used functions for the dependence on time are as follows:f2(t) B't m (Bailey [14])19

where B " m,aiand ni are material constants.The best available form of the function for temperature dependence is the formsuggested by Dom [12], which includes' the combined effect of time andtemperature:13 (T) t exp( -Q / RT)where t is the time, Q is the activation energy, R is the Boltzmann constant andT is the absolute temperature.Among the definition of creep laws discussed, the combination of Norton [10]and Bailey [14] equations have been mostly used to represent primary andsecondary (m 1) creep behaviour. '(2.2)However, a simple uniaxial tensile creep testing technique cannot providecreep data for the various material regions in welds of in-service components,operating under creep conditions. Another method for estimation the materialdeterioration with time of welded components, such as boilers, heat exchangersand steam turbines, operating under elevated temperatures, is the uniaxial creeptest of cross-weld specimens.2.2Cross-Weld TestsGrade 91 steel is widely used for the production of components for fossil fuelplants, which operate under severe service conditions for many years. Greatattention has been paid to investigating the creep properties of this grade, and alot of creep data have been collected. Nevertheless experience has shown that20

some difficulties persist in production and operating of components made ofP91 steel. A number of unexpected in-service failures of grade P91 [16-22]components produced with correct tempered martensitic structure demonstratesthat study of long-term properties and failure development is still of a greatimportance. The integrity of the welded structure relies on the performance ofthe complete welded joint, not just the weld or base metal properties.In general, a weld consists of three basic material regions: the parent material(PM), weld metal (WM) and the heat-affected zone (HAZ), the last of whichmay show at least two distinct regions, i.e. the high temperature part of theHAZ and the lower temperature part of the HAZ [23]. It has been found thatthe most premature failures of P91 welds occurred in the lower temperaturepart of the HAZ, also known as Type IV cracks. Classification of cracking inweldments is shown in Fig. 2.2. A typical Type IV cracking of a power plantpipe weld can be seen in Fig. 2.3. The microstructural regions of a weld areillustrated in Fig. 2.4 and have been categorised by Manahan and Laha asfollows: (i) coarse grain region (CGHAZ): Material near the fusion boundarythat reaches a temperature well above AC3 (temperature defining the formationof y phase in steel) during welding. Any carbides, which constitute the mainobstacle to growth of the austenite grains, dissolve resulting in coarse grains ofaustenite. In the P91 steels, this austenite transforms into martensite oncooling; (ii) fine grain region (FGHAZ): Away from the fusion boundarywhere the peak temperature Tp is lower, but still above AC3' Austenite graingrowth is limited by the complete dissolution of carbides. Fine grain austeniteis produced, which subsequently transforms into martensite in the highchromium steels; (iii) intercritical region (ICHAZ): HereACt Tp AC3 ,21

resultingInpartial reversion to austenite on heating. The new austenitenucleates at the prior austenite grain boundaries and martensite lath boundaries,whereas the reminder of the microstructure is simply tempered. The austenitetransforms into untempered martensite on cooling; (iv) over tempered region:With Tp below ACl (temperature defining the formation ofy phase in steel) theoriginal microstructure of the plate material undergoes further tempering. Thetesting of full scale welded components is generally not possible oreconomically unjustified. However, the accurate estimation of the remaininglife of welds requires better understanding of the material behaviour andproperties from the various heat affected regions which formed as a result ofthecomplicated coolingandheating processesduringwelding.Acompromising method to assess the high temperature properties of the weldsand understand the failure mechanisms and micro structural degradation(Parker [24], Storesund and Tu [25]) is to use the uniaxial cross-weldspecimens. This type of specimen can be machined parallel with the weld,perpendicular to the weld interface, or, less commonly, at an intermediate angle(Fig. 2.5).The creep testing of cross-weld specimens, with the stress applied normal tothe weld iriterface, can provide an understanding of the type of failure wherethe circumferential weld in a pipe is subjected to a significant axial stresscomponent. The weakening effect of the weld is interpreted by comparingthese results to the tests on homogeneous weld and parent metals. However, thetriaxial-stress state, which is caused by the differences in material properties ofthe various zones in the weldment, makes it difficult to analytically predict thestress and strain distributions with

steam generators. The boiler section consists of many kilometres of tubing. A boiler section in repair is shown in Fig. 1.1. A schematic diagram of coal-fired power plant is illustrated in Fig. 1.2. The working principle of those plants involve water, which is heated up in the boiler into steam usually at

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