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REPORT DOCUMENTATION PAGE Form Approved OMB NO. 0704-0188 The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggesstions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA, 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any oenalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. 1. REPORT DATE (DD-MM-YYYY) 2. REPORT TYPE 3. DATES COVERED (From - To) New Reprint - 4. TITLE AND SUBTITLE 5a. CONTRACT NUMBER Optimization of nickel nanocomposite for large strain sensing W911NF-08-1-0350 applications 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 611102 6. AUTHORS 5d. PROJECT NUMBER Oliver K. Johnson, George C. Kaschner, Thomas A. Mason, David T. Fullwood, George Hansen 5e. TASK NUMBER 5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAMES AND ADDRESSES 8. PERFORMING ORGANIZATION REPORT NUMBER Brigham Young University ORCA Brigham Young University Provo, UT 84602 -1231 9. SPONSORING/MONITORING AGENCY NAME(S) AND 10. SPONSOR/MONITOR'S ACRONYM(S) ADDRESS(ES) ARO U.S. Army Research Office 11. SPONSOR/MONITOR'S REPORT P.O. Box 12211 NUMBER(S) Research Triangle Park, NC 27709-2211 54633-MS.3 12. DISTRIBUTION AVAILIBILITY STATEMENT Approved for public release; distribution is unlimited. 13. SUPPLEMENTARY NOTES The views, opinions and/or findings contained in this report are those of the author(s) and should not contrued as an official Department of the Army position, policy or decision, unless so designated by other documentation. 14. ABSTRACT A novel large strain sensor has been developed using a silicone/nickel nanostrand/nickel coated carbon fiber nanocomposite system. The effect of conductive filler volume fraction on the piezoresistive response of the nanocomposite sensor has been studied in order to determine the optimal composition for use in large strain/motion sensing applications. Electromechanical testing of various compositions revealed that optimum performance was achieved using 11 vol% nickel nanostrands with 2 vol% nickel coated carbon 15. SUBJECT TERMS Nanocomposite, Strain Sensor, Piezoresistive, Nanostrand 16. SECURITY CLASSIFICATION OF: 17. LIMITATION OF 15. NUMBER 19a. NAME OF RESPONSIBLE PERSON a. REPORT b. ABSTRACT c. THIS PAGE ABSTRACT OF PAGES David Fullwood UU UU UU UU 19b. TELEPHONE NUMBER 801-422-6316 Standard Form 298 (Rev 8/98) Prescribed by ANSI Std. Z39.18 Report Title Optimization of nickel nanocomposite for large strain sensing applications ABSTRACT A novel large strain sensor has been developed using a silicone/nickel nanostrand/nickel coated carbon fiber nanocomposite system. The effect of conductive filler volume fraction on the piezoresistive response of the nanocomposite sensor has been studied in order to determine the optimal composition for use in large strain/motion sensing applications. Electromechanical testing of various compositions revealed that optimum performance was achieved using 11 vol% nickel nanostrands with 2 vol% nickel coated carbon fiber in the silicone matrix. Initial results indicate that this nanocomposite is capable of sensing strains of over 40% elongation. REPORT DOCUMENTATION PAGE (SF298) (Continuation Sheet) Continuation for Block 13 ARO Report Number 54633.3-MS Optimization of nickel nanocomposite for large s ... Block 13: Supplementary Note © 2011 . Published in Sensors and Actuators A: Physical, Vol. 166, (1), Ed. 0 (2011), (Ed. ). DoD Components reserve a royalty-free, nonexclusive and irrevocable right to reproduce, publish, or otherwise use the work for Federal purposes, and to authroize others to do so (DODGARS §32.36). The views, opinions and/or findings contained in this report are those of the author(s) and should not be construed as an official Department of the Army position, policy or decision, unless so designated by other documentation. Approved for public release; distribution is unlimited. This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit: http://www.elsevier.com/copyright Author's personal copy SensorsandActuatorsA166 (2011) 40–47 ContentslistsavailableatScienceDirect Sensors and Actuators A: Physical journal homepage: www.elsevier.com/locate/sna Optimization of nickel nanocomposite for large strain sensing applications OliverK.Johnsona,∗,GeorgeC.Kaschnerb,ThomasA.Masonb,DavidT.Fullwooda,GeorgeHansenc aDepartmentofMechanicalEngineering,BrighamYoungUniversity,435CrabtreeBuilding,Provo,UT84602,USA bLosAlamosNationalLaboratory,30BikiniAtollRd,LosAlamos,NM87545-0001,USA cConductiveComposites,LLC,855S600W,HeberCity,UT84032-2256,USA a r t i c l e i n f o a b s t r a c t Articlehistory: Anovellargestrainsensorhasbeendevelopedusingasilicone/nickelnanostrand/nickelcoatedcarbon Received7July2010 fibernanocompositesystem.Theeffectofconductivefillervolumefractiononthepiezoresistiveresponse Receivedinrevisedform21October2010 ofthenanocompositesensorhasbeenstudiedinordertodeterminetheoptimalcompositionforusein Accepted25December2010 largestrain/motionsensingapplications.Electromechanicaltestingofvariouscompositionsrevealedthat Available online 31 December 2010 optimumperformancewasachievedusing11vol%nickelnanostrandswith2vol%nickelcoatedcarbon fiberinthesiliconematrix.Initialresultsindicatethatthisnanocompositeiscapableofsensingstrains Keywords: ofover40%elongation. Nanocomposite © 2011 Elsevier B.V. All rights reserved. Strain Sensor Piezoresistive Nanostrand 1. Introduction repeatability,focuswasplacedonminimizationofthemeasure- mentuncertaintyduetomeasurementerrorbetweensensors(εerr). The sensing of mechanical strain is integral to many engi- Silicone/nickelnanostrand(Si/NiNs)compositeshavebeenshown neering applications such as ballistic testing, biomechanics (e.g. tobeeffectiveatmeasuringstrainsinexcessof40%elongation[6]. advanced prosthetics), haptic interfaces, structural health moni- Theirexponentialpiezoresistiveresponseprovideshighmeasure- toring,etc.However,atpresent,mostconventionalstraingauges mentresolution.Atthesametimetheirelastomericmatrixandlow can only measure strain reliably up to a few percent [1]. Sev- Young’smodulus(∼6.5MPa)allowthemtodeformtolargestrains eralmethods,suchasinterferometricstrain/displacementgauges without significantly stiffening the substrate to which they are (ISDG)[2],digitalimagecorrelation(DIC)[1],anddifferentialdig- attached.However,duetothepercolativenatureofchargetrans- italimagetracking(DDIT)[3]havebeendevelopedinordertobe portinCPCs,Si/NiNsnanocompositeshaveanidiosyncraticcritical abletomeasurelargerstrains;however,suchmethodsareexpen- strain,εc,belowwhichtheirpiezoresistiveresponseisnearlyzero. sive,complicatedandcumbersome.Thereisanobviousneedfor In order to improve the material response of this nanocompos- asimple,inexpensivestraingaugetechnologythatcouldbeeasily ite system such that it becomes viable for use as a large strain integratedintothemanyengineeringdesignsinwhichlargestrains sensor,astudywasconductedtoexaminetheeffectoffillervol- mustbesensed. umepercentageonthepiezoresistiveresponseofthematerial.As Conductivepolymercomposites(CPCs)haveshownpromiseas partofthisstudytheeffectoftheadditionofasecondconductive inexpensivelargestrainsensors[4–7];however,theirusehasbeen fillerparticleofadistinctlengthscale,namelynickelcoatedcarbon limitedduetotheirprohibitivelackofreproducibility[8,9].Acan- fibers(NCCFs),wasinvestigated.Theoptimizedcompositionwas didatelargestrainsensorwillhavethefollowingcharacteristics: showntobecapableofsensingstraininexcessof40%elongation (1)anobviousabilitytosensestrainsinexcessofthosecapable whileshowingsignificantrepeatabilitybetweengauges.Thisini- usingconventionalmethods;(2)highmeasurementfidelity;and tialoptimizationofanovelSi/NiNs/NCCFnanocompositematerial (3)goodrepeatabilitybetweensensors.Theobjectiveofthisstudy demonstratesthegreatpotentialofthismaterialforuseasaninex- wastodesignasensorcapableofmeasuringstrainsofεmax≥40% pensivestraingaugetechnologythatcanmeasurestrainsgreater elongation. In order to ensure high measurement fidelity and than8timesthoseofconventionalgauges. 2. Theory ∗ Correspondingauthor.Tel.:+12068416967. Inpreviouswork,tensiletestingofvariouselastomericmate- E-mailaddresses:[email protected], [email protected](O.K.Johnson). rials filled with NiNs demonstrated the extreme piezoresistive 0924-4247/$–seefrontmatter© 2011 Elsevier B.V. All rights reserved. doi:10.1016/j.sna.2010.12.022 Author's personal copy O.K.Johnsonetal./SensorsandActuatorsA166 (2011) 40–47 41 Considerforamomenttheproblemofelectricalconductivityfor aCPCinthecontextofacontinuumbondpercolationmodel.Inthis casethenodesrepresenttheconductivephaseandthebondsrep- resent conductive paths through the non-conductive phase (due to, e.g. tunneling, electron hopping, etc.). When a bond is open thereisnoconductionbetweenadjacentnodes,whenitisclosed thereisconductionbetweennodes.InthecaseofSi/NiNscompos- itesthisisthoughttobeduetoquantummechanicaltunneling,in whichcaseabondisopenonlyiftheconductivephaseparticlesare within∼1nmofeachother[11].Wenotethatinthisformulation eachconductivephaseparticleisreducedtoapointontheper- colationgraph,andthebondsconnectconductivephaseparticles onlyalongtheshortestpathbetweenparticles(i.e.notcentroidto centroid).Ifarepresentativeelementor‘unitcell’ofagivengraph isexamined(Fig.2)thethresholdprobabilityforconductioncan bededuced.Foraconductivepathtoexistthroughanodeatleast twoofthebondsconnectedtothatnodemustbeclosed.Itwould thenbeexpectedthatthethresholdprobabilitybeapproximately equaltothenumberofrequiredclosedbondsdividedbythetotal numberofavailablebondlocations.Forthehoneycomblatticein Fig. 2 one would expect a critical probability of pc≈2/3, for the square lattice pc≈1/2, and for the triangular lattice pc≈1/3 and indeedthesevaluesmatchwellwiththosereportedintheliterature Fig.1. TypicalpiezoresistiveresponseofSi/NiNscomposite. [12].Fig.2alsoshowsarepresentative‘unitcell’foracontinuum modelwherethecentralnodeisconnectedto6adjacentnodes, responseofelastomer/NiNscomposites[6].However,thepotential for which we would again expect pc≈1/3. This is to say that by applicabilityofthesepreviouslytestedcompositesystemstostrain increasingthenumberofbondsattachedtoeachnodethepercola- sensingapplicationswaslimitedbytheirpercolationlikeresponse. tionthresholdcaneffectivelybelowered.Thisfactcanbeexploited As these composites were pulled in tension, an effective critical tomanipulatethecriticalstrainatwhichSi/NiNsnanocomposites strain,εc,wasobserved.Onceεcwasexceededthesystemwould begin to respond piezoresistively. By some means, as this mate- begintorespond,similartothecriticalvolumefractioninperco- rialisstrainedthespatialdistributionofNiNswithrespecttoone lationtypesystems(Fig.1)[10].Intheelastomer/NiNscomposites another (which directly corresponds to the distribution of bond previously studied, εc typically occurred between 10% and 20% lengthsinthecontinuumpercolationgraph)isalteredsuchthatthe elongation. materialpassesfromasub-criticalpercolationregimethroughthe Intraditionalpercolationtheory,asystemisrepresentedbyan percolationthresholdandintoahighlyconductivesuper-critical undirectedgraphofnodesandconnectinglines.Thelinesinthis regime. By increasing the initial (unstrained) number of poten- latticearecalled‘bonds’andthenodesorintersectionsofthelines tialpathsbetweenconductivephasenanoparticlesthethreshold arecalled‘sites’.Foraparticularsimulation,sites(inthecaseofsite (εc)canbeloweredandtheamountofstrainrequiredtocrossthe percolation)orbonds(inthecaseofbondpercolation)areeither threshold should be less. Increasing the proximity of conductive closedoropenwithagivenprobability,p.Aspincreases,clusters phase particles for a static system (i.e. one that is not subjected of closed sites or bonds will develop and one can define a criti- tomechanicalloading)istypicallyaccomplishedbyincreasingthe calorthresholdprobability,pc,whichisequivalenttothenumber volume fraction of the conductive phase. However, in nanocom- fractionofclosedsitesorbondsrequiredtocreateaclusterthat posites this strategy can require prohibitively large quantities of spansthelattice.Thispercolationthresholdisintimatelyrelatedto expensivenanoparticles.Analternativemethodtomodifytheini- thestructureofthegraph.Thegraphstructureoftraditionalper- tialbondlengthdistributionistointroduceasecondconductive colationtheoryisthatofaregularlattice.However,theintrinsic phaseofadistinctlengthscale—effectivelysuperimposingthetwo structureofsomephysicalsystemsdoesnotlenditselfwelltoan respectivepercolationgraphs.Theeffectofthisistocreate‘super- ordered lattice representation. For cases of this type continuum nodes’or‘super-sites’inthecompositegraphthatconnectsmall percolation theory is used. In continuum percolation theory the clustersandcreatelargerclustersatlowervolumefractions(Fig.3). locationsofsitesarenotlimitedtodiscretepointsonthelattice; The creation of these ‘super-nodes’ significantly reduces the rather, they are allowed to exist at any point in the continuous thresholdprobabilityascanbeseenfromFig.4,wherea‘super- domain.Thisallowsforthemodelingofrandomnetworks,suchas node’ connecting 50 clusters is schematically represented. The theoneunderconsideration. expectedthresholdforthiscasewouldbepc≈1/25. Fig.2. Severaltypicallatticesforpercolationsimulations. Author's personal copy 42 O.K.Johnsonetal./SensorsandActuatorsA166 (2011) 40–47 Fig.3. Schematicofthecreationof‘super-nodes’bytheinclusionofasecondphaseofdistinctlengthscale.(a)A2DrepresentationofthedistributionofNiNs(thinblack bifurcatedstructures)andNCCF(grayrectangularstructure)inthesiliconematrix.(b)Continuumpercolationrepresentationof(a),whereblacksites(blackcircles)represent discreteNiNs,graysites(graycircles)representNCCFs,andbonds(blacklines)representconductivejunctions(i.e.locationswherethedistancebetweenconductivephase particlesis∼1[11]). Whiletheintroductionofthislargersecondphasedoesincrease ensuretheusefulnessandapplicabilityoftheresultingnanocom- thevolumefractionofconductivephasematerial(withfewerand posite material as a large displacement strain sensor, the metric lessexpensiveparticles),themostimportanteffectisthatofmanip- of εerr is also used to identify the ideal composition. In previous ulatingthebondlengthdistributionsuchthattheaveragedistance electromechanical testing of Si/NiNs composites there was little betweenconductivephasedomainsisdecreased.Asthematerial tonoresponsemanifestedwithNiNsvolumefractionsbelow7%. ismechanicallyloadedthisiswhatdirectlycausestheconsequent Conversely, mechanical instability was observed at volume frac- decreaseinεc.Thereis,however,acompetingincreaseincompos- tionsabove15%.Thesepreviousresultsguidedourselectionofthe itestiffnessbecauseofthelowercomplianceinthelargerphase, followingcompositionsfortesting: whichisalimitingfactorforεmax.Therefore,thisstudyiscouched 7%NiNs + 4%NCCF asanoptimizationprobleminwhichsimultaneousminimization ofεcandmaximizationofεmaxissought.Theabovetheoryaswell aspriorworksuggeststhatbyfindingtheidealvolumefractions 9%NiNs + 1%NCCF of the nano-phase and the larger macroscopic phase conductive fillersthespatialdistributionofconductivephaseparticlescanbe 9%NiNs + 2%NCCF indirectly optimized so as to achieve this objective. In order to 9%NiNs + 3%NCCF 11%NiNs + 1%NCCF 11%NiNs + 2%NCCF where filler content was measured in volume percentage. The following compositions were also tested: 7% NiNs+1% NCCF, 7% NiNs+2%NCCF,and7%NiNs+3%NCCF.However,therewaslim- itedpiezoresistiveresponseandthereforethedataisnotincluded inthisstudy.Threetrialswereperformedforeachofthecompo- sitionsthatweretested;however,forboththe9%NiNs+1%NCCF and9%NiNs+2%NCCFcompositionsthedataforoneofthetrials wastoonoisyanddifferedsignificantlyfromtheothertwotrials andwasconsequentlythrownout. 3. Experimentalprocedures 3.1. Themold Small‘dog-bone’tensilesampleswerepreparedusinganalu- minummold.Toaccommodatebothsmallandlargebatcheseach Fig.4. Schematic‘unit-cell’fora‘super-node’. slot in the mold was made for a set of three dog-bone samples Author's personal copy O.K.Johnsonetal./SensorsandActuatorsA166 (2011) 40–47 43 with 20wt% nickel (∼80nm thick) and cut to lengths of about 2mm. The silicone base was mixed with the NiNs in a planetary centrifugal mixer in order to achieve uniform dispersion of the nanoparticles.TheSi/NiNssolutionwasthenscreenedthrougha 40gaugemeshtoeliminateanylargeparticlesthatmayhaveinfil- tratedthesolutionandtoprovidesomedegreeofuniformparticle size. To this concentrated solution were added the NCCF, addi- tionalsiliconebase,andthecross-linkingcatalyst.Withincreasing fillervolumepercentageitbecamenecessarytoaddsmallamounts of solvent as well, in order to decrease the viscosity sufficiently suchthatpropermixingcouldoccurandtodecreaseshearstresses that could destroy the unique structure of the NiNs particles. This mixture was then mixed again in a planetary centrifugal mixer. After mixing, the solution was then placed in the mold using a metal spatula. This method of filling the mold introduced air Fig.5. Dog-bonemoldschematic(unitsincm). bubblesintothesamples.Therefore,inordertopreventporosity inthecuredsamples,theyweredegassedundervacuumatroom (Fig.5).Channelswerecutintothemoldalongitslengthsothatcop- temperature.Thesampleswerethencuredat100◦Covernight. perwirescouldbecastintothedog-bonesamplesforimprovedand consistentelectricalcontact(Figs.5and6).Themoldwastreated 3.3. Testing with an aerosol polytetrafluoroethylene (PTFE) mold release in order to facilitate post-cure removal of the nanocomposite MechanicaltestingwasperformedonthesamplesusinganMTS samples. 880MaterialTestSystem.Themetallicclamshellgripsthatwere usedwereinsulatedfromtherestofthetestsystemusingcustom 3.2. Nanocompositepreparation madePhenolicspacers.Inordertopreventslippage,anabrasive coveringwasappliedtothegrips.Eachsamplewasconnectedin The matrix material for the Si/NiNs/NCCF nanocomposite in serieswitha120(cid:3)±0.01%precisionresistor.Thisvoltagedivider this study was Dow Corning’s® two part silicone elastomer, Syl- circuitwasshieldedandexcitedbya10VDCsource.Thesamples gard184.Theprincipalconductivefillerthatwasusedwasnickel were pulled in tension at a strain rate of 2.5mm/min until frac- nanostrands.NiNsarehighaspectrationanoparticleswithaunique ture.Strainwascalculatedfromthedisplacementofthetestsystem bifurcatedstructure[6,7,13,14].TheyaremadebyConductiveCom- cross-headandthegaugelengthofthesamples. posites,LLCthroughaproprietarylowtemperature,atmospheric Aseachsamplewaspulled,thevoltagedropacrossitdecreased. pressurechemicalvapordeposition(LTAPCVD)process[13].Forthe Theresistivityofthesamplewascalculatedfromthechangeinvolt- largersecondphase,carbonfiberswereused,whichwerecoated ageusingthefollowingformula,derivedfromthevoltagedivider Fig.6. Materialschematic. Author's personal copy 44 O.K.Johnsonetal./SensorsandActuatorsA166 (2011) 40–47 Fig.7. PiezoresistiveresponseofcandidateSi/NiNs/NCCFcompositions. ruleandthedefinitionofvolumeresistivity: Exceptingthe7%NiNs+4%NCCFcomposition,allofthetested (cid:2) (cid:3) (cid:2) (cid:3) R V tw compositionsachievedgreaterthan40%elongation. (cid:4)= 1 0 × (1) V −V l s 0 5. Discussion where R is the resistance of the 120(cid:3) series resistor, V the 1 0 measured voltage signal, Vs the excitation voltage, t the sample 5.1. Performancecomparison thickness, w the sample width, and l the distance between the coppercontacts. Thenegativegaugefactorthatwasobservedshowsadiametri- callyoppositeresponsetothatoftypicalconductivefilledpolymer 4. Results composites,butwhichischaracteristicofthisnanocompositesys- tem [6,7,15,16]. For clarity, gauge factor is defined by(cid:5)R/R=Gε, The response of each of the tested compositions is shown in whereRiselectricalresistanceandGisthegaugefactor.Ingeneral, Fig.7.Inallcasesthevolumeresistivitydecreasedsignificantlyas theincreaseinresistivitywithstrainofconventionalconductive thematerialwasstrainedintension.Averagedoverthethreetri- filled polymer composites is thought to be a result of the net alsforeachcomposition,the9%NiNs+1%NCCFand9%NiNs+2% increaseindistancebetweenconductivefillerparticles[15,17–19]. NCCFcompositionsdroppedaboutthree-and-a-halfordersofmag- However,reportsofanotherelastomer/nickelfilamentsystemhave nitudeinresistivity;the11%NiNs+1%NCCF,aboutthreeordersof beenmadethatshowanegativegaugefactor,whichisattributed magnitude;the9%NiNs+3%NCCFand11%NiNs+2%NCCF,about to increased filament alignment upon tensile loading [20]. The two-and-a-half orders of magnitude; and the 7% NiNs+4% NCCF decrease in resistivity of the Si/NiNs/NCCF system is believed to almostoneorderofmagnitude. be largely attributable to the unique bifurcated structure of the Fig.8. Comparisonofgaugefactor,G,asafunctionofstrainforallofthetestedcompositions.Only0–15%elongationisshownforclarityandbecauseallcompositions approachedthesamegaugefactorvaluewithincreasingstrain. Author's personal copy O.K.Johnsonetal./SensorsandActuatorsA166 (2011) 40–47 45 Fig.9. Comparisonofεcandεmaxforeachcomposition.Thevaluesreportedinthis figurearethearithmeticmeansforalltrialsthatwereconsidered. Fig.10. Schematicrepresentationofhowεerrwascalculatedfromtherangeofthe NiNs particles [7]. In fact, previous work has shown that these volumeresistivityforagivenstrain. nanocompositeshaveanegativegaugefactorinbothtensionand compression[13]. AsisapparentfromFig.7,whenNCCFcontentisincreasedthere tivitywasequaltotheminimumresistivity.εerr isdefinedasthe differencebetweenthesetwoquantities.Thisprocessisillustrated isadramaticcorrespondingincreaseintheoverallconductivityof inFig.10. thecomposite.Thecompositeconductivityisincreasedaboutan This represents, in essence, the predicted uncertainty in the orderofmagnitudeforeachadditionalvolumepercentofNCCF. strain level indicated by the gauge—based on the uncertainty in IncreasingNCCFcontentalsotendstodecreasethemagnitude themeasuredresistivitysignal.Themeasurementerrorprofileof ofthegaugefactor,ascanbeseenfromFig.8wherethepeakgauge eachcandidatecompositionisshowninFig.11. factors generally become less and less negative with increasing NCCFcontent. We note that unlike the previously discussed parameters (εc, Thecriticalstrain,εc,wascalculatedasthelaststrainlevelfor εmax, G), εerr is not an intrinsic property of the nanocomposite whichthevolumeresistivitywaswithin5%ofthemaximumvol- umeresistivity.Aspredicted,εcdiddecreasewithincreasingNCCF contentforboththe9%NiNsand11%NiNscompositions(Fig.9). Althoughtherewasnocomparativesamplereportedtotestthis trendforthe7%NiNs+4%NCCFsample,wenotethat–asstated previously–lowerNCCFcontentsamplesweretestedat7%NiNs loadings but there was no response. This is to say that εc was neverreachedatNCCFcontentlowerthan4%forthesesamples. Thiscorroboratestheresultsoftheothersamplesbecauseεceffec- tivelydecreasedfrominfinitytoafinitevalueasNCCFcontentwas increased. Fig. 9 also indicates a general dependence of the maximum elongationonbothNiNsandNCCFcontent.Increasingthevolume percentageofeithersignificantlydecreasesthemaximumelonga- tionofthenanocompositesystembeforefracture.Thisisthought to be due to the fact that increased filler volume fraction leads toalargernumberofinhomogeneitiesinthecompositematerial. Theseinhomogeneitiesactasstressrisersandleadtovoidforma- tion[21].Thus,increasingeitherNiNsorNCCFcontentleadstoa statisticalincreaseinvoidformationprobabilityandanaccompa- nyingdecreaseinthestrainrequiredtocausefailure.Additionally, theextremedisparityinelasticmodulusbetweentheNiNs/NCCFs andthesiliconematrixmayleadtoseparationatthefiller/matrix interfaces[22],alsocausingvoidformation. 5.2. Measurementerror In order to quantify repeatability between gauges, the maxi- mumandminimumresistivityofalltrialswascalculatedforeach composition as a function of strain. The smallest possible strain thatameasuredresistivitycouldrepresentwasgivenbythestrain atwhichthemeanresistivitywasequaltothemaximumresistiv- ity.Similarly,thelargestpossiblestrainthatameasuredresistivity couldrepresentwasgivenbythestrainatwhichthemeanresis- Fig.11. Measurementerrorprofilesforeachcandidatecomposition.

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