Energy Release Rate for Fiber Reinforced Polymer Composite

Transcription

1 IOSR Jounal o Applie Physics IOSR-JAP e-issn: Volume 9, Issue Ve. II Jan. Feb. 7, PP Enegy Release Rate o Fibe Reinoce Polyme Composite Hisham Mohamme ali Hasan, Ela Ael Albee Univesity o Al-Qaisiyah Abstact: An expeimental investigation using ag-out tensile test to calculate the inteacial shea stength o ieent embee lengths an aius o Kevla -49, cabon an ulta high polyethylene ibes einoce epoxy matix, the enegy elease ate calculate by using Nain moel. he enegy elease ate incease as the embee ibe length incease an also o ibe aius o peect ahesion, o specimens with bubbles at inteace which seems to euce the actue toughness the enegy elease ate be less than specimens with peect ahesion, the themal stess an iction oces wee inclue in the enegy elease ate in Kevla-49 an cabon einoce epoxy the inteacial shea oce ue to iction pat ecease while in soli ulta high polyethylene the inteacial shea oce ue to iction pat incease. Keywos: Enegy elease ate, Cack, Dag-out, Inteacial shea stess I. Intouction he eiciency o ibe-einoce composites is oten contolle by the popeties o the ibe-matix inteace. Goo inteacial boning o peect ahesion, to ensue loa tanse om matix to einoce ibe, is a pimay equiement o eective use o einocement popeties. hus, a unamental unestaning o inteacial popeties an a quantitative chaacteization o inteacial ahesion stength can help in evaluating the mechanical behavio an capabilities o composite mateials [,]. A lage numbe o analytical techniques have been evelope o unestaning inteacial ahesion o Kevla an cabon ibes einoce epoxy matix such as ag-out ahesion test o U-shape single ibe specimen, the inteacial shea stength which is an inteacial paamete calculate using Kelly-yson as analytical moel [3] an the ag-out micomechanical test o U-shape specimen [4] to measue the maximum pull-out oce o peak oce om oce-isplacement cuve an also the enegy elease ate inclue the themal stess an action oce by Nain[]. II. heoy he elemental oces balance in ibe einoce matix shown in Fig. Fig : Diections o shea stesses Whee : б = stess applie to the ibe =ibe aius m =matix aius τ=shea stess z=element length an le is the ibe embee length which equal to the specimen length DOI:.979/ Page

2 Enegy Release Rate o Fibe Reinoce Polyme Composite DOI:.979/ Page z z z o Fig Aveage shea stess I we neglecte the stess tansee at the en o ibe at z= z o solve the integal we must know as unction o Z, Kelly-yson moel [3] assume the matix to be igiplastic Fig so equation be z e l e l p F Substitute equation 3 in equation Kelly-yson moel [4] e p iss l F he enegy elease ate by Nain inclue themal stess an iction oce given [8]: A V V C D a k D ka C a G m m s s Whee: β is the shea-lag paamete an eine as: [6,7].

3 E A Em m E AEm V V m ln 4G A Gm Vm V he axial stess at peak oce in oce- isplacement cuve Enegy Release Rate o Fibe Reinoce Polyme Composite F K=the actional stess tanse = an le = the ieent between stess ee tempeatue an the specimen tempeatue he volume action o ibe V an matix V m eine in the eeence [5, 8] An othe constant eine in eeence [8] Fibe an matix popeties liste in table an table able : he popeties o ibes: Popeties Cabon ibe AS4 Kevla ibe 38 3 ensile Moulus E A Gpa 4 ansvese moulus E Gpa 5 Axial shea moulus G A Gpa.. Axial poisson atio A.5.35 ansvese poisson atio Axial coeicient o themal expansion A -6 c - ansvese coeicient o themal expansion -6 c - -6 able : he popeties o matix Popeties Epoxy ensile moulus E mgpa 5 Axial shea moulus G m Gpa.3.35 Axial poisons atio m Axial coeicient o themal expansion m -6 c - 5 III. Specimen pepaation A polysiloxane mol o ieent embee lengths ibe 3.9mm,4.mm,5.4mm use to get U- shape specimen as shown in Fig. 3.hee kins o ibe A kevla-49, cabon ibe with iametes.mm,.34mm,o.43mm an ulta high polyethylene ibe UHPE with iametes.45mm use to einoce epoxy matix cue at oom tempeatue o six ays in polysiloxane mol beoe tensile test by Micocompute Contolle electonic Univesal esting machine moel WDW-5E. Fig 3 A: Polysiloxane U-shape mol Fig 3 B: U-shape ag-out specimen DOI:.979/ Page

4 Enegy Release Rate o Fibe Reinoce Polyme Composite IV. Results an iscussion he oce vs. isplacement cuves om ag-out test o specimens shown in Fig 4,5,6,7,8,9 Fig 4 the ag-out oce vs. coss hea isplacement cuves o epoxy-cabon ibe post cue at 5 o C o iamete.mm. Fig 5 the ag-out oce vs. coss hea isplacement cuves o epoxy-cabon ibe post cue at 5 o C o iamete.34mm. Fig 6 the ag-out oce vs. coss hea isplacement cuves o epoxy-cabon ibe post cue at 5 o C o iamete.43mm. DOI:.979/ Page

5 Enegy Release Rate o Fibe Reinoce Polyme Composite Fig 7 the ag-out oce vs. coss hea isplacement cuves o epoxy-kevla ibe post cue at 5 o C o iamete.mm. Fig 8 the ag-out oce vs. coss hea isplacement cuves o epoxy-kevla ibe post cue at 5 o C o iamete.34mm. Fig 9 the ag-out oce vs. coss hea isplacement cuves o epoxy-kevla ibe post cue at 5 o C o iamete.43mm. DOI:.979/ Page

6 Enegy Release Rate o Fibe Reinoce Polyme Composite Fig the ag-out oce vs. coss hea isplacement cuves o epoxy- polyethylene ibe post cue at 5 o C o iamete.45mm. he enegy elease ate Ga o an inteacial ebon cack by Nain moel, the enegy elease ate is an inication o cack popagation at inteace. Fig4 shown the peak oce ull eboun o ieent o embee ibe lengths an as the ibe length incease the peak oce an then the enegy elease ate incease as suace aea between ibe an matix be lage an then the boun stength incease. he enegy elease ate incease when ibe iamete an embee length incease as in Fig Fig Enegy elease ate o Kevla ibe at thee iametes Fig Enegy elease ate o cabon ibe at thee iametes DOI:.979/ Page

7 Enegy Release Rate o Fibe Reinoce Polyme Composite he enegy elease ate is incease when the suace aea o the ibe incease that is to mean the ahesion aea between ibe an matix incease peect ahesion but thee ae some abnomal behavio in samples which shown a ecease in the in enegy elease ate when inceasing the iamete that can be explaine this ahesion between the ibe an the matix is impeect ahesion o seveal easons ue to the pesence o bubbles between ibe an matix o a ibe containing ilaments. he enegy elease ate o polyethylene ibe ae vey low in compae with the cabon ibe an Kevla ibe as in Fig because o the poo ahesion o ulta high polyethylene UHPE ibe with epoxy esin ue to its suace stuctue chaacteistics it have low iction coeicient, highly esistant to coosive chemicals, the suace oughness polyethylene ibe, low suace enegy. V. Conclusion. Nain moel inclue inteacial shea stength, themal stess an iction.. he inceasing in the embee length o the ibe an iamete, which leas to incease ahesion aea oes not mean inceasing o the enegy elease ate, o seveal easons ue to the pesence o bubbles between ibe an matix o a ibe containing ilaments not peect ahesion 3. Using nano ibe einoce polyme matix the ahesion between ibe an matix will be peect. 4. Dag-out test is moe lexible than pull-out an micobon tests. 5. he high ieence between the values o ictionless enegy elease ate an the values o enegy elease ate inicate the impotance o iction eect. at the iction pat o all ag-out oce-isplacement cuves thee ae two kins, slip-haening, i the suace o matix is moe ha than ibe suace cause suace ibe abasion an the iction oce woul incease ove peak oce, the secon kin was slip-soten occue when the suace o ibe is moe ha than matix suace an the iction oce woul be less than the peak oce. Reeence []. H. I. Jae, H. M. Hasan, "he Enegy Release Rate at Knik an Peak Points o Polyeste-kevla ibe an polyeste-polyethylene ibe", quately.vol,issue:3,pp.-4,7 []. Nain J.A., Liu C.H., Menels D.A. an Zhanaov S, " Factue Mechanics Analysis o the Single-Fibe Pull-Out est an the Micobon est Incluing he Eects o Fiction an hemal Stesses", J.o composites, Septembe,pp 9-. [3]. A.Kelly an W.R.yson, ensile Popeties o Fibe-Reinoce Metal Coppe/ungsten an Coppe/ Molybenum,J.Mech.Phys.Solis vol,3,39,965 [4]. Nuiel S., Katzb A., an Wagnea H.D., " Measuing ibe matix inteacial ahesion by means o a ag-out micomechanical test ",Composites: Pat A,36, PP.33-37,5. [5]. John A.Nain," Analytical actue mechanics analysis o the pull-out test incluing the eects o iction an themal stesses", Avance composites Lettes,Vol 9, pp ,, [6]. Nain J.A., Menels D.A., " On the use o plana shea-lag methos o stess-tanse analysis o multilayee composites ", Mechanics o Mateials 33,PP ,. [7]. Nain J.A., Wagne H.D., " A Revise Shea-Lag Analysis o an Enegy Moel o Fibe-Matix Deboning ",J. Avance Composite Lettes,Vol 5, No. 5,PP. 3-35,996. [8]. Schee R.J., Nain J.A., " A Compaison o Seveal Factue Mechanics Methos o Measuing Inteacial oughness with Mic obon ests ", J. Ahesion, Vol. 53 pp , 995. DOI:.979/ Page