Dental Materials Journal 2011;; 30(6): 881–886 Premolars restored with posts of different materials: fatigue analysis Pablo-­Jesús RODRíGUEZ-­CERVANTES1, Joaquín-­Luis SANCHO-­BRU1, Carmen GONZÁLEZ-­LLUCH1, Antonio PÉREZ-­ GONZÁLEZ1, Amaya BARJAU-­ESCRIBANO2 and Leopoldo FORNER-­NAVARRO2 Department of Mechanical Engineering and Construction, University Jaume I, E-­12071, Castellón de la Plana, Spain Department of Stomatology, University of Valencia, E-­ 46010, Valencia, Spain Corresponding author, Pablo-­Jesús RODRíGUEZ-­CERVANTES;; E-­mail: cervante@emc.uji.es 1 2 3UHYLRXVZRUNVVWXGLHGWKHHIIHFWRIWKHPDWHULDODQGWKHGLPHQVLRQVRIWKHSRVWRQWKHELRPHFKDQLFDOSHUIRUPDQFHIUDFWXUHVWUHQJWK DQGVWUHVVGLVWULEXWLRQRIUHVWRUHGWHHWKXQGHUVWDWLFORDGV7KHDLPRIWKLVZRUNZDVWRVWXG\WKHHIIHFWRIWKHSRVWPDWHULDOJODVV ÀEUHDQGVWDLQOHVVVWHHORQUHVWRUHGWHHWKZKLFKKDYHWKHÀQDOFURZQXQGHUG\QDPLFFRQGLWLRQV7KHXVHRIDELRPHFKDQLFDOPRGHO LQFOXGLQJDIDWLJXHDQDO\VLVIURP)($LVSUHVHQWHGDVDSRZHUIXOPHWKRGWRVWXG\WKHHIIHFWRIWKHPDWHULDORIWKHLQWUDUDGLFXODUSRVW 7KHLQFOXVLRQRIWKHIDWLJXH DQDO\VLVDOORZVIRUD PRUH UHDOLVWLFVWXG\ WKDW WDNHV LQWR DFFRXQWWKH G\QDPLF QDWXUHRI PDVWLFDWRU\ IRUFHV$WWKHVDPHWLPHWKHUHVXOWVREWDLQHGDUHHDVLHUWRLQWHUSUHWE\ERWKGHQWLVWVDQGPHFKDQLFDOHQJLQHHUV1RGLIIHUHQFHVZHUH IRXQGZLWKWKHORDGDQGQXPEHURIF\FOHVFRQVLGHUHGEHWZHHQJODVVÀEUHDQGVWDLQOHVVVWHHODVPDWHULDOIRUWKHLQWUDUDGLFXODUSRVW used in premolars restorations. Keywords)DWLJXH5HVWRUHGWHHWK3UHIDEULFDWHGLQWUDUDGLFXODUSRVWV,QÁXHQFHRISRVWPDWHULDO)($ INTRODUCTION Endodontically treated teeth have less moisture in the FDOFLÀHGWLVVXHWKDQYLWDOWHHWKZKLFKOHDGVWRLQFUHDVHG brittleness1). The ability of a post and core system to survive masticatory forces (the instantaneous loading RYHU WLPH DQG UHPDLQ ÀUPO\ VHDWHG LQ WKH WRRWK LV critical to the survival of a restoration. If either the post DQGRUWKHFRUHPDWHULDOIDLOVWKHFURZQZLOOXOWLPDWHO\ IDLO7KHUHIRUHWKHUHWHQWLRQRIDSRVWDQGWKHVWDELOLW\RI a core is an important factor in preventing restoration failures. Much of the literature has described techniques and methods for the construction of posts and cores including cast systems and prefabricated post systems. 7UDGLWLRQDOO\DSRUFHODLQIXVHGWRPHWDOFURZQKDV EHHQ XVHG LQ WRRWK UHVWRUDWLRQ ZKHQ DQ DHVWKHWLF DSSHDUDQFH LV UHTXLUHG +RZHYHU EHFDXVH RI FRQFHUQV about allergic reactions or biocompatibility4) SDWLHQWV DQGGHQWLVWVKDYHFRPHWRSUHIHUPHWDOIUHHUHVWRUDWLRQV It is possible to replicate the aesthetic characteristics and vitality of natural teeth by using ceramics5). The PDMRUSUREOHPZLWKDOOFHUDPLFIXOOFURZQVLVWRSURYLGH H[FHOOHQWDHVWKHWLFVDQGDGHTXDWHVWUHQJWKi.e.ORQJHYLW\ at the same time. Ceramic materials are superior in WHUPVRISHUPHDELOLW\WROLJKWDQGELRFRPSDWLELOLW\EXW WKH\ FDQ EH LQKHUHQWO\ EULWWOH DQG ZHDN ZKHQ SODFHG under tensile and torsional stresses6)7KLVGUDZEDFNKDV EHHQ UHGXFHG XVLQJ UHLQIRUFHG JODVVFHUDPLF PDWHULDOV 6XUYLYDOUDWHVRIJODVVFHUDPLFFURZQVHYHQRQSRVWHULRU WHHWKKDYHIDUH[FHHGHGWKRVHRIWUDGLWLRQDODOOSRUFHODLQ FURZQVGHVSLWHKDYLQJQHDUO\HTXLYDOHQWVWUHQJWKVDQG WKLFNQHVVHV7). $OWKRXJK FOLQLFDO WULDOV ZRXOG EH WKH EHVW ZD\ WR DVVHVVWKHHIIHFWVRIGLIIHUHQWYDULDEOHVWKLVW\SHRIVWXG\ &RORUÀJXUHVFDQEHYLHZHGLQWKHRQOLQHLVVXHZKLFKLVDYDLO DEOHDW-67$*( 5HFHLYHG$SU$FFHSWHG-XO GRLGPM-2,-67-67$*(GPM LVWLPHFRQVXPLQJH[SHQVLYHDQGHWKLFDOO\TXHVWLRQDEOH 2WKHU W\SHV RI VWXG\ DUH KHOSIXO LQFOXGLQJ in vitro VWXGLHVDQGÀQLWHHOHPHQWDQDO\VHV)($%RWKPHWKRGV have advantages and disadvantages. In vitro tests can VLPXODWH DOPRVW UHDOLVWLF FRQGLWLRQV EXW DUH WLPH consuming and only a limited number of specimens can be tested. The transfer of results from in vitro tests to FOLQLFDO VLWXDWLRQV LV DOVR FKDOOHQJLQJ )($ HQDEOHV VLPXODWLRQ RI DQ\ VLWXDWLRQ EXW WKH DFFXUDF\ RI WKH results depends on construction of an appropriate model. A meticulous construction process is therefore necessary. 3UHYLRXVZRUNV have combined the advantages of both PHWKRGV WR DVVHVV WKH HIIHFWV RI WKH PDWHULDO DQG WKH GLPHQVLRQV RI WKH SUHIDEULFDWHG SRVWV 7HHWK UHVWRUHG ZLWK VWDLQOHVV VWHHO SRVWV VKRZHG VLJQLÀFDQWO\ ORZHU IDLOXUHORDGVWKDQWHHWKUHVWRUHGZLWKJODVVÀEUHSRVWV 7KHH[SHULPHQWDOUHVXOWVZHUHXVHGWRYDOLGDWHDÀQLWH HOHPHQW PRGHO RI D UHVWRUHG WRRWK )URP WKDW PRGHO LW ZDV FRQFOXGHG WKDW SRVW UHVWRUDWLRQ V\VWHPV LQ ZKLFK the elastic modulus of the post is similar to that of GHQWLQH DQG FRUH RIIHU D EHWWHU ELRPHFKDQLFDO SHUIRUPDQFH ,Q WKHVH VWXGLHV D PRQRWRQLF VWDWLF ORDG ZDV DSSOLHG ZKLFK GRHV QRW UHSUHVHQW WKH FOLQLFDO VLWXDWLRQZKHUHDG\QDPLFORDGLVFKDUDFWHULVWLF )DWLJXH WHVWV KDYH EHHQ HVWDEOLVKHG DV EHLQJ DQ essential research tool for testing adhesive restorations. They reproduce cyclical loading pattern FRPSDUDEOHWRSK\VLRORJLFDOIXQFWLRQDQGWKHUHIRUHFDQ VLPXODWH WKH UHVXOWV RI WLPHFRQVXPLQJ FOLQLFDO WULDOV 0RUHWLPHFRXOGEHVDYHGLIWKRVHWHVWVZHUHSHUIRUPHG by means of computer simulation. 7KHSXUSRVHRIWKLVLQYHVWLJDWLRQZDVWRFRPSDUHWKH QXPEHU RI ORDG F\FOHV ZLWKRXW IDLOXUH VXVWDLQHG E\ D UHVWRUHGSUHPRODUZLWKDFRQYHQWLRQDOFRPSOHWHFURZQ GHVLJQ DQG WZR GLIIHUHQW SRVWDQGFRUH V\VWHPV 7KH V\VWHPV VHOHFWHG ZHUH D SUHIDEULFDWHG VWDLQOHVV VWHHO 882 Dent Mater J 2011;; 30(6): 881–886 SRVWDQGFRPSRVLWHFRUHDQGDSUHIDEULFDWHGJODVVÀEUH post and composite core. MATERIALS AND METHODS $WKHRUHWLFDOPHWKRGZDVXVHGWRVWXG\WKHLQÁXHQFHRI SRVW PDWHULDO RQ HQGRGRQWLFDOO\ WUHDWHG DQG UHVWRUHG ZLWK D SRVWFRUHFURZQ V\VWHP KXPDQ SUHPRODUV 7KH SRVWVXVHGIRUWKHVWXG\ZHUHWKHParaPost Fiber White and the ParaPost Stainless Steel (Coltène/Whaledent ,QF 0DKZDK 1- 86$ 7KHVH SRVWV ZHUH VHOHFWHG because their geometry is similar and they are PDQXIDFWXUHG LQ WKH VDPH VL]HV EXW KDYH VLJQLÀFDQWO\ GLIIHUHQWHODVWLFPRGXOL*3DIRUWKHParaPost Fiber White DQG*3DIRUWKHParapost Stainless Steel). Finite element model 7KH ÀQLWH HOHPHQW DQDO\VLV )($ LV FXUUHQWO\ XVHG LQ YHU\ GLIIHUHQW ÀHOGV ,W KDV EHHQ VXFFHVVIXOO\ XVHG LQ ELRPHFKDQLFV DQG LQ SDUWLFXODU LQ RUWKRSDHGLFV 7KLV WHFKQLTXH ZDV RULJLQDOO\ GHYHORSHG IRU VWUXFWXUDO DQDO\VLVLQPHFKDQLFDOHQJLQHHULQJEXWLWVIRXQGDWLRQLV also applicable to biological problems. The results of a )($ DUH H[SUHVVHG DV VWUHVVHV GLVWULEXWHG LQ WKH structures under investigation. These stresses may be WHQVLOHFRPSUHVVLYHVKHDURUDFRPELQDWLRQNQRZQDV equivalent von Mises stress. Von Mises stresses depend RQWKHHQWLUHVWUHVVÀHOGDQGDUHDZLGHO\XVHGLQGLFDWRU of the possibility of damage occurrence. 7KH PRGHO XVHG LQ WKLV VWXG\ ZDV EDVHG RQ WKH JHRPHWU\RIDUHDOWRRWKREWDLQHGWKURXJKD'VFDQQHU DQG WKH ' PRGHOOLQJ VRIWZDUH 3UR(QJLQHHU 37& 1HHGKDP 0$ 86$ ZDV XVHG WR JHQHUDWH DQG ODWHU DVVHPEOH WKH JHRPHWULHV IRU DOO WKH FRPSRQHQWV 7KLV PRGHOKDVEHHQSURSHUO\YDOLGDWHGLQSUHYLRXVZRUNV. )LJXUHVKRZVDORQJLWXGLQDOVHFWLRQRIWKHJHRPHWULFDO PRGHO FRQVLGHUHG LQFOXGLQJ DOO WKH FRPSRQHQWV WKDW ZHUHPRGHOOHGERQHFRUWLFDODQGWUDEHFXODUFRPSRQHQWV SHULRGRQWDO OLJDPHQW URRW JXWWDSHUFKD SRVW SRVW FHPHQWFRUHFURZQDQGFURZQFHPHQW7KHPHFKDQLFDO 7DEOH SURSHUWLHVRIWKHGLIIHUHQWFRPSRQHQWVRIWKHPRGHOZHUH obtained from the literature and from the manufacturer RIWKHSRVWV&ROWqQH:KDOHGHQW,QF0DKZDK1-86$ DQG IURP WKH PDQXIDFWXUHU RI WKH JODVVFHUDPLF FURZQ ,YRFODU 9LYDGHQW $* 6FKDDQ /LHFKWHQVWHLQ 7KH aforementioned properties are presented in Table 1. 7KH 3UR0HFKDQLFD PRGXOH DYDLODEOH ZLWKLQ 3UR (QJLQHHUZDVXVHGWRGLYLGHPHVKWKH&$'JHRPHWU\ 6ROLG WHWUDKHGUDO HOHPHQWV ZHUH FUHDWHG ZLWK D PHVK FRQWURO RI PP PD[LPDO VL]H RQ DOO WKH FRPSRQHQWV H[FHSW RQ WUDEHFXODU DQG FRUWLFDO ERQH ZKHUH D PP PD[LPDOVL]HFRQWUROZDVDSSOLHG7KHGHÀQLWLYHPRGHO KDG HOHPHQWV $V ERXQGDU\ FRQGLWLRQV WKH displacements of all nodes on the lateral surface and EDVH RI WKH FRPSRQHQW UHSUHVHQWLQJ WKH ERQH ZHUH constrained. 7KHDQDO\VLVZDVFDUULHGRXWXVLQJWKHÀQLWHHOHPHQW DQDO\VLV VRIWZDUH 06&3$75$11$675$1 06& )LJ 6HFWLRQ RI WKH JHRPHWULFDO PRGHO JHQHUDWHG Modelled components. 0HFKDQLFDOSURSHUWLHVRIWKHPDWHULDOVXVHGLQWKHÀQLWHHOHPHQWPRGHO Component/Material 5RRW'HQWLQH (ODVWLF0RGXOXV(*3D 5HIHUHQFHV *XWWDSHUFKD Periodontal ligament Cortical bone Trabecular bone 5 47) Post cement/Self cure resin cement Core/ParaPost ParaCore 18.6 3RLVVRQ&RHIÀFLHQWǎ) Manufacturer 62 Manufacturer &URZQFHPHQW'XDOFHPHQW 47) Stainless steel post Manufacturer *ODVVÀEUHSRVW Manufacturer &URZQ Dent Mater J 2011;; 30(6): 881–886 6RIWZDUH&RUSRUDWLRQ6DQWD$QD&$86$7KHVWXG\ ZDV XQGHUWDNHQ ZLWK D PRGHO RI D PD[LOODU\ SUHPRODU restored using the ParaPost Fiber White and the ParaPost Stainless SteelDQGZLWKWKHGHÀQLWLYHFURZQ DGGHG$1ORDGZDVDSSOLHGWRWKHSDODWDOVLGHRIWKH WRRWKDWDDQJOHWRWKHUDGLFXODUD[LVLQWKHYHVWLEXODU GLUHFWLRQ LQ RUGHU WR VLPXODWH UHDO ELWLQJ IRUFH·V direction. An unfavourable situation of malocclusion KDV EHHQ FRQVLGHUHG i.e. WKH IRUFH ZDV DSSOLHG WR WKH buccal incline of the palatal cusp. The value of the RFFOXVDOIRUFHZDVFKRVHQWRUHSUHVHQWDUHODWLYHO\KLJK biting force24)7KLVYDOXHKDVEHHQXVHGLQVHYHUDOZRUNV GHDOLQJZLWKSUHPRODUV8QGHUWKLVORDGWKHVWUHVV GLVWULEXWLRQSDWWHUQRIWKHUHVWRUHGWRRWKZDVVWXGLHGIRU WZR GLIIHUHQW SRVW PDWHULDOV 7KH VWUHVV GLVWULEXWLRQ pattern provided information about the fracture PHFKDQLVPRIWKHUHVWRUHGWRRWKIRUWKHVDPHH[WHUQDO ORDG KLJKHU VWUHVVHV LQGLFDWHG D KLJKHU SUREDELOLW\ RI reaching the failure load. $V ELRPHFKDQLFDO SHUIRUPDQFH ZDV QRW IRXQG WR depend on post length WKH ZLGHVSUHDG 28) recommendation that post length should be about three TXDUWHUV RI URRW OHQJWK ZDV XVHG 7KH SRVW GLDPHWHU 7DEOH FRQVLGHUHG LQ WKLV ZRUN VDWLVÀHV WKH ZLGHO\ H[WHQGHG UHFRPPHQGDWLRQ WKDW SRVW ZLGWK VKRXOG QRW EH JUHDWHU WKDQ RQHWKLUG RI WKH URRW ZLGWK DW LWV QDUURZHVW section1DPHO\WKHWKLFNQHVVUDWLRSRVWGLDPHWHU URRWWKLFNQHVVFKRVHQZDVHTXDOWR Fatigue Model from previous FEA The behaviour of materials under dynamic loads is GLIIHUHQW WR WKDW XQGHU VWDWLF ORDGV )DWLJXH FDQ EH GHÀQHG DV WKH SURJUHVVLYH DQG ORFDOL]HG VWUXFWXUDO GDPDJH WKDW RFFXUV ZKHQ D PDWHULDO LV VXEMHFWHG WR cyclical loading. The material collapses at maximum stress values that are lesser than the ultimate tensile VWUHVV OLPLW DQG PD\ EH EHORZ WKH \LHOG VWUHVV OLPLW RI the material. 7KHYRQ0LVHVVWUHVVHVREWDLQHGIURPWKHSUHYLRXV ÀQLWH HOHPHQW DQDO\VHV ZHUH XVHG WKURXJK WKH &26026:RUNVPRGXOHDYDLODEOHZLWKLQWKHPRGHOOLQJ VRIWZDUH 6ROLG:RUNV 'DVVDXOW 6\VWqPHV 6ROLG:RUNV &RUS 6XUHVQHV )UDQFH 7KH 61 FXUYHV 6WUHVV YV 1XPEHURI&\FOHVWR)DLOXUHZHUHGHÀQHGIRUHDFKRIWKH PDWHULDOV FRQVLGHUHG LQ WKH PRGHO 7KH 61 FXUYH IRU GHQWLQH ZDV REWDLQHG IURP WKH OLWHUDWXUH 7KH 61 )OH[XUDOVWUHQJWKVIRUWKHGLIIHUHQWFRPSRQHQWPDWHULDOVRIWKHPRGHO )OH[XUDOVWUHQJWK03D Source 3DUD3RVW)LEHU:KLWH Manufacturer ParaPost Stainless Steel Manufacturer ParaCore 48) 'XDO&HPHQW 45.1 47) 'HQWLQH &URZQ Manufacturer Parapost Cement )LJ61FXUYHIRUFURZQPDWHULDO 884 Dent Mater J 2011;; 30(6): 881–886 FXUYHVIRUWKHRWKHUPDWHULDOVZHUHHVWLPDWHGIURPWKHLU VWDWLF SURSHUWLHV DQG 61 FXUYHV RI VLPLODU PDWHULDOV found in the literature. i.e.WKH61FXUYHRIPDWHULDOV ZKHQQRH[SHULPHQWDOGDWDDUHDYDLODEOHLVDSSUR[LPDWHG E\WKHIROORZLQJGDWDVWUHQJWKversusQXPEHURIF\FOHV 6fYV6fYV6DQG6f vs. a number RI F\FOHV JUHDWHU WKDQ WKRVH WHVWHG ,Q WKLV SDSHU ZH have tested 1.2 millions of cycles. Sf LV WKH ÁH[XUDO VWUHQJWKRIWKHPDWHULDOFRQVLGHUHGVKRZQLQ7DEOH$V DQ H[DPSOH )LJXUH VKRZV WKH 61 FXUYH IRU FURZQ material. $F\FOLFDOORDGIURPWR1ZDVDSSOLHGGXULQJ 1.2 millions of cycles. These conditions are believed to VLPXODWH DSSUR[LPDWHO\ \HDUV RI FOLQLFDO VHUYLFH. This number of cycles have been used in several fatigue studies7DNLQJLQWRDFFRXQWWKDWGHQWDOPDWHULDOV DUHEULWWOHWKH*RRGPDQPRGHOZDVXVHGIRUFRPSDULQJ WKH VWUHVVHV REWDLQHG LQ WKH SUHYLRXV ÀQLWH HOHPHQW DQDO\VHVZLWKWKH61FXUYHV )RUERWKSRVWV\VWHPV)LJWKHVPDOOHVWIDFWRUV ZHUHORFDWHGDWWKHIRUFHDSSOLFDWLRQ]RQH1RQHWKHOHVV LQ WKH WRRWK UHVWRUHG ZLWK D VWDLQOHVV VWHHO SRVW WKH H[WHQVLRQRIWKH]RQHZLWKWKHVPDOOHVWIDFWRUVRIVDIHW\ is bigger. i.e.WKHPRGHOSUHGLFWVWKDWUHVWRUDWLRQVXVLQJ JODVVÀEUHSRVWVDUHDEOHWREHDUKLJKHUVWDWLFVORDGV Results from the fatigue model from previous FEA The model predicted no fatigue failure for both post V\VWHPV VWXGLHG XQGHU WKH F\FOLFDO ORDG FRQVLGHUHG )LJ 7KDW PHDQV WKDW DOWKRXJK UHVWRUDWLRQV XVLQJ JODVVÀEUHSRVWVDUHDEOHWREHDUKLJKHUVWDWLFORDGVERWK SRVW V\VWHPV ZLOO VDIHO\ EHDU WKLV F\FOLFDO ORDG ,I WKH cyclical load considered is good enough to represent the UHDO FDVH WKHQ ERWK V\VWHPV FRXOG EH XVHG LQ SUDFWLFH ZLWKWKHVDPHJXDUDQWLHV RESULTS 5HVXOWVIURPWKHVWDWLFÀQLWHHOHPHQWDQDO\VLV ,QWKLVVHFWLRQWKHUHVXOWVRIWKHVWXG\RIWKHLQÁXHQFHRI WKH SRVW PDWHULDO DUH SUHVHQWHG )LJXUH VKRZV WKH stress distribution achieved. We prefer the more visual RSWLRQ RI SUHVHQWLQJ WKH )26 )DFWRU RI 6DIHW\ GLVWULEXWLRQ 7KH )26 IRU HDFK FRPSRQHQW KDV EHHQ FDOFXODWHG DV WKH UDWLR EHWZHHQ WKH VWUHQJWK RI WKH component material and the maximal von Mises stress REWDLQHG ZLWK WKH ÀQLWH HOHPHQW PRGHO LQ WKDW FRPSRQHQW )OH[XUDO VWUHQJWKV RI HDFK FRPSRQHQW PDWHULDO REWDLQHG IURP OLWHUDWXUH DUH SUHVHQWHG LQ Table 2. A smaller factor of safety means that the FRPSRQHQWLVPRUHSURQHWRIDLOXUH7KHVPDOOHVW)26RI the components can be considered as the factor of safety RIWKHRYHUDOOV\VWHP$VWKHVD\LQJJRHV´$FKDLQLVRQO\ DVVWURQJDVLWVZHDNHVWOLQNµ )LJ YRQ 0LVHV VWUHVV GLVWULEXWLRQ FRORXU VFDOH WKH ZDUPHU WKH FRORXU WKH KLJKHU WKH VWUHVV HVWLPDWHG E\ WKH PRGHO IRU WKH UHVWRUHG WRRWK RQ WKHVDJLWWDOVHFWLRQXVLQJJODVVÀEUHSRVWOHIWYV using stainless steel post (right). )LJ )DFWRU RI VDIHW\ FRORXU VFDOH WKH ZDUPHU WKH FRORXU WKH VPDOOHU WKH IDFWRU HVWLPDWHG E\ WKH PRGHO IRU WKH UHVWRUHG WRRWK RQ WKH VDJLWWDO VHFWLRQ XVLQJ JODVV ÀEUH SRVW OHIW DQG XVLQJ stainless steel post (right). )LJ /LIH SUHGLFWLRQ number of cycles) for the cyclical ORDG FRQVLGHUHG FRORXU VFDOH WKH ZDUPHU WKH FRORXUWKHVKRUWHUWKHOLIHH[SHFWHGHVWLPDWHGE\ WKH PRGHO IRU WKH UHVWRUHG WRRWK RQ WKH VDJLWWDO VHFWLRQ XVLQJ JODVV ÀEUH SRVW OHIW YV XVLQJ stainless steel post (right). Dent Mater J 2011;; 30(6): 881–886 885 DISCUSSION CONCLUSION ,QWKHSUHVHQWVWXG\WZRGLIIHUHQWSRVWV\VWHPVPRGHOV JODVVÀEUHDQGVWDLQOHVVVWHHOSRVWKDYHEHHQH[SRVHGWR F\FOLF ORDGLQJ %RWK SRVW V\VWHPV VXUYLYHG WKH F\FOLFDO ORDG FRQVLGHUHG 7KDW PHDQV WKDW ERWK V\VWHPV ZRXOG KDYHDVLPLODUOLIHGHVSLWHWKHGLIIHUHQFHVIRXQGLQWKH static analysis. It has to be pointed out that the results VKRZQLQWKLVZRUNKDYHWREHWDNHQZLWKFDUHEHFDXVH RIWKH61FXUYHVWKDWKDYHEHHQHVWLPDWHG The magnitude and direction of the force applied are FRPSDUDEOH ZLWK YDOXHV UHSRUWHG LQ WKH OLWHUDWXUH IRU premolars. The analysis of the factor of safety (under DVWDWLFORDGUHYHDOHGWKDWWKHIDLOXUHZRXOGRFFXUDWWKH FURZQLQWKHDUHDZKHUHWKHORDGLVDSSOLHG,QDQ\FDVH WKHPRGHRIIDLOXUHSUHGLFWHGE\WKHPRGHOIRUFURZQHG UHVWRUHGWHHWKZRXOGQRWDIIHFWWKHURRW Many studies in the literature address fatigue of a FRUH VXSSRUWHG E\ D SRVW H[SHULPHQWDOO\. 1RQHWKHOHVVPRVWRIWKHPGRQRWWDNHLQWRDFFRXQWWKH SURWHFWLYHHIIHFWRIWKHGHÀQLWLYHFURZQLQWKHUHVWRUDWLRQ ,QWKLVZD\WKHLUUHVXOWVDUHVLPLODUWRWKDWRIWKHVWDWLF VWXGLHV i.e. SRVW UHVWRUDWLRQ V\VWHPV LQ ZKLFK WKH elastic modulus of the post is similar to that of dentine DQGFRUHRIIHUDEHWWHUELRPHFKDQLFDOSHUIRUPDQFH. 7KH ZRUN RI *RWR et al. REWDLQHG WKDW ÀEUHUHLQIRUFHG UHVLQGRZHOVDQGERQGHGFRPSRVLWHFRUHVXQGHUIDWLJXH ORDGLQJSURYLGHGVLJQLÀFDQWO\VWURQJHUFURZQUHWHQWLRQ WKDQ FDVW JROG GRZHOV DQG FRUHV DQG WLWDQLXP DOOR\ GRZHOVZLWKFRPSRVLWHFRUHVXQGHUIDWLJXHORDGLQJ%XW UHWHQWLRQLVQRWDQLVVXHDGGUHVVHGLQWKLVZRUNZHKDYH GHDOWZLWKWKHUHVLVWDQFHRIWKHSRVWV\VWHP %HVLGHV WKH XVXDO OLPLWDWLRQV RI ÀQLWH HOHPHQW VWXGLHVRQHOLPLWDWLRQRIWKLVZRUNZDVWKHH[FOXVLYHXVH RI UHLQIRUFHG JODVVFHUDPLF FURZQV IRU WKH GHÀQLWLYH UHVWRUDWLRQ RI WKH URRWFDQDOWUHDWHG WHHWK 7KLV RQO\ JLYHVLQIRUPDWLRQDERXWWKHWHVWHGFRPELQDWLRQVRISRVWV FRUHVDQGFURZQVDQGWKHUHVXOWVFDQQRWEHJHQHUDOL]HG IRURWKHUFRPELQDWLRQVHVSHFLDOO\IRURWKHUFURZQVPDGH RIPHWDOFHUDPLFIXVHGWRPHWDORUFRPSRVLWHUHVLQ Although the method used is more clinically relevant WKDQVWXG\PHWKRGVHPSOR\LQJDPRQRWRQLFVWDWLFORDG limitations exist in the interpretation of these results from a clinical perspective. The specimens in this model ZHUH QRW VXEMHFWHG WR WKHUPDO F\FOLQJ DQG WKH IDWLJXH ORDG ZDV DOZD\V DSSOLHG LQ D XQLIRUP PDQQHU $OVR GHQWLQHERQGLQJZDVDFFRPSOLVKHGXQGHULGHDOFRQGLWLRQV that may not fully represent the clinical situation. 7KHPHWKRGSURSRVHGLQWKLVZRUNIRUVWXG\LQJWKH biomechanics of teeth restored using intraradicular SRVWV LV HDV\ WR SHUIRUP IURP D SUHYLRXV )($ ,Q DGGLWLRQ SURYLGH UHVXOWV PRUH LQWXLWLYH DQG HDVLHU WR interpret. The results are more realistic because the PHWKRG WDNHV LQWR DFFRXQW WKH G\QDPLF QDWXUH RI masticatory loads. The main limitation of the method is WKDW UHTXLUHV 61 H[SHULPHQWDO FXUYHV RI GHQWDO UHVWRUDWLYHPDWHULDOVZKLFKDUHQRWXVXDOO\SURYLGHGE\ manufacturers. %RWKSRVWV\VWHPVFRQVLGHUHGJODVVÀEUHDQGVWDLQOHVV VWHHO SRVW ZRXOG KDYH D VLPLODU OLIH GHVSLWH WKH differences found in the static analysis. ACKNOWLEDGMENTS This research is supported by both the Spanish *RYHUQPHQW DQG WKH (XURSHDQ 8QLRQ )('(5 IXQGV WKURXJK3URMHFW'3, REFERENCES *XWPDQ-/7KHGHQWLQURRWFRPSOH[DQDWRPLFDQGELRORJLF considerations in restoring endodontically treated teeth. 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