wind turbine blade reliability, effects of manufacturing defects and composite repairs
TRANSCRIPT
WindTurbineBladeReliability,EffectsofManufacturingDefectsand
CompositeRepairsPresentedbyDougCairns,Lysle A.WoodDistinguishedProfessor
JaredNelson,AssistantProfessor,SUNYNewPaltzMichaelLeman,MSMETammyRichey,MSME
FemiIbitoye,MSMECandidateDanielSamborsky
JoshPaquette,TaskLeaderforLaboratoryandFieldTestingofWindTurbineBlades
Today’sTopics
• EffectsofDefectsinWindTurbineCompositeLaminates• Laminates• AdhesiveJoints• Coupons• Substructures(SandwichBeams)
• CompositeLaminateRepair• Coupons• Substructure
CompositeWindTurbineBlades
• Turbinesaregettinglarger• Lowcostmanufacturingmeanshigher
probabilityformanufacturingdefects• Increasedlengthmeansincreasedweight• Can’taffordthetypicaloverdesignoftheblade 747Jumbo Jet
LowHangingFruitforWindTurbineBladeReliability
• ThesestructuresareBIG>100mdiameter• “Nearaerospace”designrequirements• Theyhavehighstructuraldemands,manyhours/dayfor20years
• Extremeenvironments,Alaska,Hawaii,Antarctica• Lessthan$10/lbcosts• Theonlymechanicalfastenersarebetweentherootandthemetalturbinehub
• Waves:bendingorwavinessalongfiberlength• In-plane(IP):fiberwavesonsurface(left)• Out-of-plane(OP):fiberwavesthroughthickness(right)
EffectsofDefects:UnderstandDefectTypes
In-PlaneWaves Out-of-PlaneWaves
BondingQuality
• TypicalBladeBondLines• Difficult tocontrol• Blindbonds• Scalingeffects
• Shear-WebBonding• Bond-LineVoids• Bond-LineWeakness(withoutmajorvoids)• CommentaryfromaBladeManufacturingManager
• “Themostdifficultpartofmanufacturingprocessistrying tobond thetwoshellstogether.”
• “Trailingedgedefectscangrowtofullbladefailure.”• “Bondingproblemsarethebiggest issue.”
MinorVoids
• Waves:bendingorwavinessalongfiberlength• In-plane(IP):fiberwavesonsurface(left)• Out-of-plane(OP):fiberwavesthroughthickness(right)
EffectsofDefects:UnderstandDefectTypes
In-PlaneWaves Out-of-PlaneWaves
ImagesofutilityscalebladesectionswerecollectedatNREL
Imageprocessingwasperformedtoextractquantifiablewavegeometry
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DefectDataCollection
12v
DataProcessing- IP• Flawparameterstendto
followdistributions• Dataare‘sanitized’to honor
NonDisclosureAgreements• Thesedatawereusedto
developtestarticles
Typical
Anomalous
Typical
Anomalous
Typical
Anomalous
• ContinuumDamageModeling(CDM)– A“pseudo-representation”– Doesnotmodeltheexactdamage– Updatesconstitutivepropertiesasdamageoccurs– Asthemodeliterates,theconstitutivematrix,CorS, isupdatedto
reflectequilibriumdamage– CorS maysimplify;basedonmaterialandlay-up
ContinuumDamageModeling
=
xy
zx
yz
zz
yy
xx
xy
zx
yz
zy
yz
x
xz
z
zy
yx
xy
z
zx
y
yx
x
xy
zx
yz
zz
yy
xx
G
G
G
EEE
EEE
EEE
2100000
0210000
0021000
0001
0001
0001
Asdamageoccurs,thematerialproperties (E,ν &G)maybeadjustedtoaccountforadifferentresponse inthedamagedspecimen.
Assuch,Cmaybeadjusteddepending onfailurecriteria.i.e.C =C(ε,σ)
ComplianceMatrixforOrthotropicMaterial:
13
• DiscreteDamageModeling(DDM)– Modelsthedamageasitoccurs(priorknowledgeishelpful)– Generally,computationallymoreexpensive– UtilizingCohesiveElements;improvementonVCCT/LEFMbecause
crackpathnotnecessary
DiscreteDamageModeling
14
• CohesiveElements– Traction-separationbasedmodelingforbondedinterfaces
(composites)– Layerofessentiallyzerothicknesselementsaddedbetweenlayers
wherecrackisexpected– Modelstheinitialloading,theinitiationofdamage,andthe
propagationofdamageleadingtoeventualfailure
DDM:CohesiveElements
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• GroupA:Control(noinduceddefects)• GroupB:Porosity—2%byvolumeofmatrix• CroupC:In-PlaneWaves
– IP1=1.9mmA,23.8mmλ,25°– IP2=4.5mmA,23.8mmλ,49°– IP3=1.9mmA,10mmλ,48°
• GroupD:Out-of-PlaneWaves– OP1=2.9mmA,22.8mmλ,37°– OP2A=0.7mmA,5.4mmλ,35°– OP4A=0.6mmA,22.8mmλ,9°
• 2-5samplesfromeachgrouptestedinbothtensionandcompressionwith0° and±45°layups.– Morethan35testgroups– Totalsamplestestedover180
OutlineofStaticTesting
Instron 8802:servohydraulic250kN (56,000 lb),150mm(6in)stroke
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0° TensionIPWaveDamage
UltimatePlyFailureMatrixCracking
DamagevisualizedwithimagesandAramisdigitalimagecorrelation(DIC)system.
17
• Round3• Combinationofnon-linearshearUMAT&
cohesiveelement– CDM/DDMapproach
• Sameinputsasutilizedfromeachindividualapproachabove
• Nofailurecriteriaforcontinuumelements(tows)– Sheardrivendegradation
• FailureforCOHelements
CombinedCDMw/Non-LinearShearUMATandDDMw/CohesiveElementApproach
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CombinedCDM&DDMApproach:IPWaveinTension
Initialfailureoccurringatdiscontinuousfiberedges
Modelfailsmoresuddenlythroughoutentirewaveduetomodeluniformity
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• Usingdataandanalysisfromastructurewithwavesconstrainedtoaregionispresumedtobeconservative(i.e.wavedoesnotextendacrosstheentirewidthofthestructurelikeinthecouponsandanalysis)
• But,byhowmuch?• Whatistheloadre-distributioncapabilityuptofinalfailure?
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WhatAboutPartialWaves?MichaelLerman,JaredNelson,JocelynThompson
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PartialDefectTestsandAnalysis
Laminates with Wavy Fibers in Middle, Straight Fibers on Edges
a) FE Model b) FE Model, full straight edge width wavy fibersfibers
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DifferencesinProgressiveDamagebetweenFullWidthandPartialWidthWaves
Full Width Wave, extensive matrix damage leading to
failure
Partial Width Wave, local matrix damage leading to
ultimate straight fiber failure
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GoodExperimental/AnalyticalCorrelationsofPartialWidthWaves
DIC from Experiment: Finite Element Model(longitudinal strain) (“soft inclusion” local
strain concentration)
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BIGDifferencebetweenFullWidthWavesandPartialWidthWaves
Full Width Wave
Partial Width Wave(acts as a “soft inclusion”; strain
concentration, but local failure does not immediately lead to catastrophic failure)
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However,BothProgressiveDamageLeadingtoFailurecanbeadequatelyPredicted
Full Width Wave Partial Width Wave
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Substructures(SandwichBeams)
Montana State University’s Multi-Scale, Multi-Axial Test Facility, beams of approximately 2m• Capable of Multi-Axes
(bending and torsion)• Intermediate step
between coupons and full scale blades
• Much faster and lower cost than full blade
4 Pt Bending of Sandwich Beam
Unflawed Beams vs. Flawed Beams• Load to Failure
– No Flaw – 6.2kN– Full Width Flaw 3.8-4.4 kN, depending on severity– Partial Width Flaw, wavy fibers in middle, straight fibers on edges,
5.8 kN, substantial capacity for load redistribution
• Results are consistent with coupons, takeaway – coupons representative of flaws in structures
• Aconsistentmethodologyforthetreatmentofwavesincompositelaminateshasbeendeveloped
• ProgressiveDamageAnalysishasgoodexperimentalagreementoverawiderangeofwaveparameters
• UsingfullwidthwaveanalysisandtestingmaybetooconservativeforDamageTolerantDesignanalysis– Goodnews- Ifthestructureisshowntobegoodwithfullwaves,itwillbebetterwithpartial
waves– Badnews– MaybetooconservativeforstructureswithDamageTolerantDesignapproach
(However,analysiscanbedonetounderstandtheseeffects)
• Significantreinforcementprovidedbysurroundingstraightfiberswithpartialwaves
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SummaryandConclusions– LaminateswithWaves
• Geometricallycomplexcrackgrowth,withoutaprioriknowledgeofwhereitmightoccur
• Includecrackinitiation,potentialcrackbranching,andflawinteraction
• Examplefigure:shearweb-sparcapadhesivejoint&commonmfg defects
Challengesinmodelingdamagegrowthinthickadhesivejoints
Independent cracks are free to branch or join where favorable
Formation of multiple cracks
CohesiveZoneModeling,advancedmaterialfracturebehaviorinthickadhesivejoints
u CZM has been widely used to solve crack propagation problems
• Ease of implementation within conventional FEM (Seagraves 2009), Explicit representation of cracks giving clear physical picture (Molinari 2007), …
u Fracture formation is regarded as a gradual phenomenon in which the separation of the surfaces involving in the crack takes place across an extended crack tip, or cohesive zone, and is resisted by cohesive tractions (Dugdale 1960, Barenblatt 1962)
Cohesive traction
Cohesive zone (Fracture process zone)
Cohesive zone length
Physical crack length
Crack tip
CohesiveZoneModels
• Materialseparation&fractureisresistedbyinternal“cohesive”forcesoverextendedprocesszone.
• ImplementedintheFEMusingcohesiveinterfaceelements(CIEs)placedatinter-elementboundaries.
CohesiveZoneModeling– TractionSeparationLaw(TSL)
u The behavior of CZEs is governed by traction-separation law • Exponential, bi-linear, trapezoidal, …
Tmax : Maximum traction
d0, df : Initial and final separation
Gc : Fracture energy
K : Initial stiffness
Tmax
d0 df
GcK
Traction
Separation
GeneralFormulation:CZM• Representsamajoradvancementoverconventionalfracturemechanics
(LEFM)– Crackgrowthwithoutremeshing orcracktipelements– Brittle,quasi-brittle, andductilefracture– Noinitialcrackrequired
• CohesiveInterfaceElements(CIEs)areplacedwithinameshalongcontinuumelementboundaries
• CIEsaregenerallycollapsedtoformazero-thickness“interface”betweenbulkelems
• DamagedCIEsrepresentalldamageandthecohesiveforcesinfracturezone
• Therefore,theCIEsizemustbesmallenoughtoresolvethefractureprocesszone
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Cohesiveelements
BulkelementsCracktip
CohesiveZone
1
2
3
4
5
6
7
8
1,5
2,6
3,7
4,812
3
MONTANASTATEUNIVERSITY
MontanaStateUniversity’sUniqueApproach
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• Multi-pointConstraintCohesiveZoneMethod(developedatMTState,Boeingawardedusamulti-yearcontractbecausetheydon’thavethiscapability)
• EliminateDOFfromIntrinsicCohesiveElements– InsertionofCIEs
• CIEsareinsertedpriortorunningsolver(IntrinsicScheme)• Increasesnumberofelements,nodes&correspondingDOF
– DefinitionofMaster-SlaveMultipointConstraints(MPCs)• EliminatesslavenodeDOF• Returnssystemtooriginalsize• CIEsbecome“dormant”untilactivatedbyspecifiedcriterion
– DeactivateMPCs(activateCIEs)wheredamagecriterionsatisfied• CIEsare“activated”onlyasneededduringsolution(ExtrinsicScheme)
top element
bottom element
Midsurface, CIE insertion
node
MPC, tied nodes
12
3 unconstrained nodes
constrained nodes
Traction-Separation LawDefines the evolution of the traction across the CIE surfaces relative to their
separation.Tr
actio
n (N
/m2 )
Separation (m)
1
2
3
4
5
6
7
8
1,5
2,6
3,7
4,812
3Tc
Gc
Intrinsic TSL: Initial Penalty Stiffness controls the amount of interfacial separation that occurs prior to damage.
Nor
mal
Tra
ctio
n, T
(N/m
2 )
Normal Separation, Δ (m)
K03
TSL
Tc
Δ03Δ02Δ01
Gc
ΔF
Extrinsic TSL: The interface is “initially rigid”. Achieved by adaptively inserting CIEs with non-zero initial tractions.
Nor
mal
Tra
ctio
n, T
(N/m
2 )
Normal Separation, Δ (m)
T0 = Tc
Gc
TSL
ΔF
Note:We have done sensitivity studies on how the TSL affects the results:
• Tc• Gc• ∆F• Shapes other than triangular
Multicrack Growth (Pt 1)Displacement Max Principal Stress MPC Release
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Multicrack Growth (Pt 2)Displacement Max Principal Stress MPC Release
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Multicrack Growth (Pt 3)Displacement Max Principal Stress MPC Release
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Multicrack Growth (Pt 4)Displacement Max Principal Stress MPC Release
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Multicrack Growth (Pt 5)Displacement Max Principal Stress MPC Release
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Multicrack Growth (Pt 6)Displacement Max Principal Stress MPC Release
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Multicrack Growth (Pt 7)
0
50
100
150
200
250
300
0 0.001 0.002 0.003 0.004
Load
(N)
Load Point Displacement (mm)
Displacement Max Principal Stress MPC Release
Multicrack Growth (Final)Displacement Max Principal Stress MPC Release
0
10000
20000
30000
40000
50000
0 1 2 3 4 5 6 7 8 9
Num
ber o
f Act
ive
DO
F
Sample Point Along Load History
A Case Study for “Spin-On” of Advanced Technology from Wind Research
• Aerospace does not have our advanced progressive damage analysis with our unique CZM formulations
• Boeing has awarded a large research contract to implement results from the BRC program.
Bondline
1.0
8.0
0°
90° 45°
-45°
3.0
Non-stickInsert
0.125
Loadingblocks/pinhole
0.079
Thick Adhesive Joint Modeling Conclusions• The CZM is a versatile tool for modeling crack growth under complex load
and boundary conditions, but suffers from some drawbacks.
• Selective Activation of cohesive elements appears to be a natural improvement.– Removes or minimizes artificial compliance– Reduces the number of active DOF– Reactivates CIEs as needed “on-the-fly”
• It is not without exaggeration to claim that we are at the cutting edge of progressive damage modeling with cohesive zone elements.
TypicalBladeDamage• Wear
– Environmental– LifeCycleFatigue
• ImpactDamageConstructionTransportationBird&LightningStrikes
• ManufacturingFlawsPorosityFiberWaviness
RepairMethods
• StructuralRepair:ExternalPatchExternal Patch
Adhesive
Filler Parent Laminate
• SpotRepair:MatrixFill
(A.)DamagedCoupon (B.)RepairPatch
(C.)Repairprocess(Infusion orPasteAdhesive(D.)RepairedandSanded
Damage and Repair Procedures
Materialproperty
• Elastic– E11=40.6GPa,E22=E33=16.3GPa,n12=n13=0.27,n23=0.35– G12=G13=16.8GPa,G23=6.22GPa
• Cohesive– Fiber(Q/P):T1=950MPa,GIC=30N/mm,K=5x107 MPa/mm,p=2– Matrix(Q/P):T1=40MPa,T2=60MPa,GIC=0.3N/mm,GIIC=0.6N/mm,K=107 MPa/mm,p=2
– Delamination(Q/P):T1=40MPa,T2=60MPa,GIC=0.3N/mm,GIIC=0.6N/mm,K=107 MPa/mm,p=2
– Patchadhesive(Q/P):T1=20MPa,T2=30MPa,GIC=0.05N/mm,GIIC=0.3N/mm,K=107 MPa/mm,p=2
(Q:QUADSdamageinitiation,P:PowerLawdamageevolution)
Fractureshape– Unrepaired
Matrixcracking,FibersplittingMatrixcracking,
Fibersplitting,Delamination
…
Fiberfracture
…
Stress-straincurve– Unrepaired
0
100
200
300
0 0.005 0.01 0.015 0.02 0.025Strain
Stress(M
a)
ExperimentsAnalysis
Fractureshape– Repaired
Matrixcracking,Fibersplitting
Matrixcracking,Fibersplitting,Delamination
Fiberfracture… Laminate-patch
separation
Stress-straincurve– Repaired
0
100
200
300
0 0.005 0.01 0.015 0.02 0.025Strain
Stress(M
a)
ExperimentsAnalysis
Materialproperty
• Elastic– E11=40.6GPa,E22=E33=16.3GPa,n12=n13=0.27,n23=0.35– G12=G13=16.8GPa,G23=6.22GPa
• Cohesive– Fiber(Q/P):T1=950MPa,GIC=30N/mm,K=5x107 MPa/mm,p=2– Matrix(Q/P):T1=40MPa,T2=60MPa,GIC=0.3N/mm,GIIC=0.6N/mm,K=107 MPa/mm,p=2
– Delamination(Q/P):T1=40MPa,T2=60MPa,GIC=0.3N/mm,GIIC=0.6N/mm,K=107 MPa/mm,p=2
– Patchadhesive(Q/P):T1=20MPa,T2=30MPa,GIC=0.05N/mm,GIIC=0.3N/mm,K=107 MPa/mm,p=2
(Q:QUADSdamageinitiation,P:PowerLawdamageevolution)
0
100
200
300
400
500
0 0.005 0.01 0.015 0.02 0.025Strain
Stress(M
a)
UsedmatrixCZEpropsforpatchadhesive
Current
Possibilityofincreasedrepairstrength
PENDINGWORK1. Determinemoreeffectiverepairmethods.2. Extendrepairstocouponsofdifferentplyconfigurations.3. Conductexperimentalrepairsonbeamstructures.4. FiniteElementModelingtocorrelatewithexperimental
results.
1. Withindustryrepairrecommendations,Ultimatestrengthinrepairedcaseislowerthanundamagedstrength• RepairEffectiveatlowstrainlevels• Needtodevelopbetterfieldrepairmethods
2. Stressconcentrationsarounddamageregionsisreducedinrepairedcasewhichwillinvariablyreducefracturetendencyatlowstress.
PreliminaryConclusions
• Wehavenotyetfoundanyrepairwithwindturbineindustryrecommendedproceduresthatwillrestoretheundamagedstrengthofhighlyunidirectionallaminatestoundamagedlevels.
• Ifyoudoarepair,youneedtoensurethatitactuallyimprovesthestrengths
• Anassessmentneedstobemadethattheworkingstrainoftherepairedregionisbelowthestrainatwhichitmaydisbond fromtheparentlaminate.• Static• Fatigue
NotesonBondedRepair
-100
0
100
200
300
400
500
600
700
800
900
1000
-0.5 0 0.5 1 1.5 2 2.5 3 3.5
Strain
Stress_StrainPlot
Undamaged_6(VE6)
Unrepaired_2(VE1)
Infusion_Repaired_8(VE2)
Infusion_Repaired_7(VE1)
Adhesive_Repaired_1(VE2)
Adhesive_Repaired_3(VE1)
Stress(M
Pa)
0.00.51.01.52.02.53.0
Strain,%
WorkingStress-Stainneedstobewellbelowonsetofrepairfailure
ScarfedPatchFailure
UndamagedLaminate
ScarfedandUnrepaired
Stress,M
Pa
NominalStress-Strain
Ongoing Work• Effects of Defects – moving on to carbon laminates• Thick Adhesive Joints
– Continuing Cohesive Zone Model Development– Carbon Fiber Adherands– Comparisons to aerospace adhesive joints (collaborative project
with Boeing• Multi-Scale, Multi-Axial Test Facility
– Building database, more replications– Using for Repair studies. Answer basic question: How high can a
composite laminate repair be compared to undamaged structures?
• Continuing with repair studies – progressive damage analysis
• ThisworkwassponsoredbyDOEundertheSandiaLedBladeReliabilityCollaborativeandtheMSUDOEWindTurbineDevelopmentprogram.
• JoshPaquette,BrianNaughton,andToddGriffithofSandiaNationalLaboratories– WindandWaterEnergyTechnologywereinstrumentalinthetechnicalguidanceofthiswork.
• TheentireMSUCompositesGroupwasinstrumentalinsupportingthiswork.
ThankYou!!
Acknowledgments
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