Fatigue User Guide JBJv2

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    CAVS REPORT

    MSU.CAVS.CMD.2009-Rxxxx

    DRAFT

    USAMP-PM AMD410 Users Guide

    Y. Hammi, R.L. Carino, T.W. Son!, P.A. A""i#on, H.S. $r!%a", M.F. Hor#!m!&!r

    Pr!'ar!( )&C!n!r *or A(+an!( V!i"ar S!m#Mi##i##i''i Sa! Uni+!r#i&Mi##i##i''i Sa!, MS /912

    W!) #i! '33%%%.a+#.m##a!.!(

    4o *or ')"i r!"!a#!.

    May 2009

    http://www.cavs.msstate.edu/http://www.cavs.msstate.edu/
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    Software Application License Agreement

    Version 3.23.09b

    This License Agreement (Agreement) is a legal agreement between LICENEE an! Mississi""itate #ni$ersity (M#) %&r &nline access t& the s&%tware a""licati&n %&r material m&!eling (&%tware

    A""licati&n)' y sing the &%tware A""licati&n* LICENEE is agreeing t& be b&n! by the terms &%

    this Agreement' LICENEE agrees that LICENEE+s se &% the &%tware A""licati&n ac,n&wle!ges that

    LICENEE has rea! this Agreement* n!erstan!s it* an! agrees t& be b&n! by its terms an! c&n!iti&ns'

    -' Grant of License.b.ect t& the terms an! c&n!iti&ns &% this Agreement* M# hereby grants t&

    LICENEE a n&n/eclsi$e license t& se the &%tware A""licati&n' LICENEE may se the &%tware &n

    a single c&m"ter an! ma,e &ne c&"y &% the &%tware in machine/rea!able %&rm %&r bac," "r"&ses

    &nly' LICENEE mst re"r&!ce &n sch c&"y M#+s c&"yright n&tice an! any &ther "r&"rietary legen!s

    that were &n the &riginal c&"y &% the &%tware'

    2' Restrictions.The &%tware A""licati&n c&ntains c&"yrighte! material* tra!e secrets an! &ther

    "r&"rietary material' In &r!er t&"r&tect them* an! ece"t as "ermitte! by a""licable legislati&n*

    LICENEE may n&t !ec&m"ile* re$erse engineer* !isassemble* &r &therwise re!ce the &%twareA""licati&n t& a hman/"ercei$able %&rm* &r &therwise attem"t t& !isc&$er the s&rce c&!e &%

    any &%tware A""licati&n "r&$i!e! in c&m"ile! %&rm1 m&!i%y* netw&r,* rent* len!* l&an*

    !istribte &r create !eri$ati$e w&r,s base! "&n the &%tware A""licati&n in wh&le &r in "art1electr&nically transmit the &%tware A""licati&n %r&m &ne c&m"ter t& an&ther &r &$er a

    netw&r,1 c&"y the &%tware A""licati&n1 &r* trans%er LICENEE+s license rights t& se the

    &%tware A""licati&n* the relate! !&cmentati&n* &r this Agreement t& an&ther "arty'

    . Copyright an !raemar". The &%tware A""licati&n an! 3&cmentati&n are &wne! by M#'All title* &wnershi"* rights* an! intellectal "r&"erty rights in an! t& the &%tware A""licati&n an!

    3&cmentati&n shall remain with an! in M#' The &%tware A""licati&n an! the 3&cmentati&n are

    "r&tecte! by the c&"yright laws &% the #nite! tates an! internati&nal c&"yright treaties' LICENEE shall

    n&t se the names* l&g&s* tra!emar,s &r any &ther mar, &r image c&nsi!ere! by M# t& be i!enti%ie! with

    &r "r&tecte! by M#* &r th&se &% any &% its em"l&yees &r %&rmer em"l&yees* &r any a!a"tati&n there&%* in

    any a!$ertising* "r&m&ti&nal &r sales literatre with&t "ri&r written c&nsent being &btaine! %r&m M# in

    each case* ece"t that LICENEE may state that it is license! by M# n!er this Agreement'

    4' #$port Law Ass%rance' LICENEE hereby agrees that it shall n&t sell* trans%er* e"&rt &r re/

    e"&rt any &%tware A""licati&n &r relate! in%&rmati&n in any %&rm* &r any !irect "r&!cts &% sch

    in%&rmati&n* ece"t in c&m"liance with all a""licable laws* incl!ing the e"&rt laws &% any #''

    5&$ernment agency an! any reglati&ns theren!er* an! will n&t sell* trans%er* e"&rt &r re/e"&rt anysch &%tware A""licati&n &r in%&rmati&n t& any "ers&ns &r any entities with regar! t& which there eist

    gr&n!s t& ss"ect &r belie$e that they are $i&lating sch laws' LICENEE shall be s&lely res"&nsible %&r

    &btaining all licenses* "ermits &r ath&ri6ati&ns re7ire! %r&m the #'' an! any &ther g&$ernment %&r any

    sch e"&rt &r re/e"&rt' T& the etent n&t inc&nsistent with this Agreement* M# agrees t& "r&$i!e

    LICENEE with sch assistance as it may reas&nably re7est in &btaining sch licenses* "ermits &r

    ath&ri6ati&ns'

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    8' &isclaimer of 'arranty' M# MAE N: ;EA;;ANTIE :? AN@ IN3* EITE; E=

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    -ower (etal -erformance (oeling of A%tomotie Components

    ,sers G%ie

    !able of Conten ts

    Intr&!cti&n ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    A' Material M&!eling ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' ''

    A'-'

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    A'' Elast&/Bisc&"lasticity As"ects'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    A'''a Elasticity'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    A'''b ?l&w ;le'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    A'''b ar!ening ;le'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    A'''c Material

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    C'-'-'c Creati&n an! Meshing &% the

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    C'8'-'b &n!ary C&n!iti&ns''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    C'8'-'c Ma" &lti&n %r&m "ringbac,Gintering Analysis'''''''''''''''''''''''''''''''''''''''''

    C'8'-'! Ma""ing &% Elastic

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    3'4'2 :t"t ?iles ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    3'4' Men Items '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    3'4'4 3ata et C&ntr&ls'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''

    3'4'8

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    A.1. (%ltiStage atig%e (oel

    A.1.4 )ntro%ction

    This secti&n !escribes a high %i!elity mltistage %atige (M?) m&!el em"l&ye! t& "re!ict the am&nt &%

    %atige cycling re7ire! t& case the a""earance &% a measrable crac, an! the crac, si6e as a %ncti&n &%

    l&a!ing cycles' The m&!el inc&r"&rates micr&strctral %eatres int& the %atige li%e "re!icti&ns %&rincbati&n* micr&strctrally small crac, gr&wth* an! l&ng crac, gr&wth stages in b&th high cycle an!

    l&w cycle regimes' ecti&n 2 "r&$i!es a the&retical basis %&r the M?' ecti&n is a m&!el ser manal'

    ecti&n 4 !escribes a s&%tware tility %&r calibrating the M? m&!el %r&m e"erimental !ata'

    A.1.2 !heoretical basis for (S moels

    The micr&strctre/base! mlti/stage %atige (M?) m&!el inc&r"&rates !i%%erent micr&strctral

    !isc&ntinities ("&res* inclsi&ns* etc') &n "hysical !amage "r&gressi&n'

    This m&!el "artiti&ns the %atige li%e int& three stages base! &n the %atige !amage %&rmati&n an!

    "r&"agati&n mechanismsH

    - crac, incbati&n*- micr&strctrally small crac, (MC) an! "hysically small crac, (

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    are n&t a$ailable Kammann et al'* -99' ere* the generali6e! %&rmlati&n that was eten!e! t& a

    08/T8- Al all&y* i'e'*

    limlim *

    =D

    l

    D

    l

    thper

    tha

    -*)-(- limlim

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    [ ]N

    02- )-(

    d

    D

    DyRyY

    ++=

    whereD0is the !iameter &% the "&re in the s"ecimens that case %atige %ailre* !!e"icts the e%%ect&% the "&re si6e t& l&cal "lastic strain* which is ta,en as 0'- !0'* the rati&Ris base! &n the

    maimm "rinci"al stress* an!"#an!"$are c&nstants'

    A.1.2.b (icrostr%ct%rally small crac" growth

    Crac, gr&wth in the MCG

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    critical crac, gr&wth n!er %atige l&a!ing in the same way that characteri6e! critical* &r %ast

    %ractre' e eamine! a nmber &% all&ys an! reali6e! that "l&ts &% crac, gr&wth rate against range

    &% stress intensity %act&r ga$e straight lines &n l&g/l&g scales' This im"lies thatH

    ( )mKAdN

    da)(l&gl&g =

    which is e7i$alent t&

    AKmdN

    dal&gl&gl&g +=

    whereAis the crac, gr&wth "arameter an! mthe e"&nent in

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    ?igre '42 F ?atige crac, gr&wth rate $erss stress intensity %act&r range'

    A.1.2.c (aterial -arameters

    Table 2' The mltistage %atige m&!el "arameters &% a 208 "&w!er'

    (S

    (oel(oel (Sfit Val%e &escription

    )*C,/A!)+*

    t,

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    S(AL

    L

    CRAC5

    theta 0'28 Maimm stress c&m"&nents c&ntribti&n %act&r

    m 4'Q00-- E"&nent in mall crac, gr&wth

    CI Q0000' C? c&nstant in small crac, gr&wth

    CII '492 LC? c&nstant in small crac, gr&wth

    5 0'-94 Crac, gr&wth rate c&nstant

    CT3T 0'0002Q0 CT3 thresh&l! $alea%nl- 280' ?inal crac, si6e length (micr&ns)

    3Ce" 0' ha"e "arameter

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    / )nterpolation ))H the %atige li$es NSC an! N"C se the same linear inter"&lati&n as %&r

    micr&strctral c&nstants1 the %atige li%e N!nc is inter"&late! with res"ect t& "&r&sity %r&m

    %atige li$es !etermine! at 9'8 an! -9 "&r&sities1 the !ensity is heter&gene&s an!

    ma""e! %r&m the c&m"acti&n analysis1

    [ ]( ))()()( -- !nc!nc N"#&'(xpN +=

    with

    [ ] [ ]

    -2

    -2

    -2

    -2 )()(an!)C&nstants()C&nstants(

    )

    N"#&)N"#&'

    )

    )a !nc!nc==

    The M? %atige analysis Inter"&lati&n I an! Inter"&lati&n II se the same heter&gene&s "&r&sity*

    strain an! strain an! stress !istribti&ns* &nly the %atige li%e is calclate! sing a !i%%erent meth&!

    &% inter"&lati&n %&r each analysis'

    The %atige li%esN!nc* NSC* N"C an!NT#tal(Table SSSS) are limite! in the ser sbr&tine #BA;M

    with a maimm $ale' Their res"ecti$e limits areH

    /

    +ax!ncN

    R -0*000*000 cycles

    /

    +axSCN

    R -00*000 cycles

    /

    +axSCN

    R 2*000*000 cycles

    /

    +ax"C

    +axSC

    +ax!nc

    +axT#tal NNNN ++=

    R -2*-00*000 cycles

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    !able 4. Mlti/tage ?atige &t"t $ariables &% ser sbr&tine #BA;M'

    Component &efinition ,ar

    train Am"lit!e

    "#ad+ine"#ad+axee UU = #$ar(-)

    train Am"lit!e

    "#ad+ine"#ad+ax,hea r,hea r UU = #$ar (2)

    Mises tressAm"lit!e

    "#adin+eq"#ad+axeqeq UU =

    #$ar ()

    ?atige Li%e NIncF Inter"&lati&n I #$ar (4)

    ?atige Li%e NIncF Inter"&lati&n II #$ar (8)

    ?atige Li%e NCF Inter"&lati&n I #$ar ()

    ?atige Li%e NCF Inter"&lati&n I #$ar ()

    ?atige Li%e NLCF Inter"&lati&n II #$ar (Q)

    ?atige Li%e NLCF Inter"&lati&n II #$ar (9)

    ?atige Li%e NT&talF Inter"&lati&n I #$ar (-0)?atige Li%e NT&talF Inter"&lati&n II #$ar (--)

    ?atige Li%e NIncF Inter"&lati&n I (n&t limite! t&

    +ax!ncN

    )#$ar (-2)

    ?atige Li%e NIncF Inter"&lati&n II (n&t limite! t&

    +ax!ncN

    )#$ar (-)

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    C.7 atig%e Analysis of the (ain /earing Cap

    C.7.4 -re-rocessing %sing Aba8%sCA#

    C.7.4.a Creationg an (eshing of -arts

    All the "arts* ece"t the sha%t* are !e%&rmable b&!ies an! create! sing 3 c&ntinm elements

    C3Q t& minimi6e the C

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    ?igre F r%ace interacti&n !e%initi&n between the MC an! the ring'

    The c&ntact interacti&n between the threae bolt an! the !ie can be !e%ine! sing athreae bolt connectionin Aba7sGCAE (?igre SSSS)' The initial clearance is c&m"te!by Aba7sGCAE %&r a singlethreae bolt' The b&lt s"eci%icati&ns sch as the halfthrea

    angle (in !egrees)* the pitch an! bolt iameter (ma.&r in this case) are re7ire!

    "arameters %&r the c&ntact interacti&n' The c&ntact interacti&n "r&"erty is !e%ine! by a Co%lombfriction law* which a %ricti&n c&e%%icient &% 0'2'

    T& create a threa!e! b&lt c&nnecti&nsH

    - )np%t ile ,sage

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    ig%reF Threa!e! b&lt sr%ace !e%initi&n in AA#GCAE (highlighte! in re! %&r a s"eci%ic b&lt)'

    C.7.4.c Loaing an /o%nary Conitions

    The base &% the MC %itre is encastre! (?igre SSSS)'

    The re%erence n&!e that "il&ts the sha%t rigi! sr%ace has c&nstraine! b&n!ary c&n!iti&ns t& "re$ent

    rigi! r&tati&n ab&t any ais (?igre SSSS)'

    An assembly l&a! is "rescribe! &n t& each &% $ertical b&lts t& simlate the "rel&a!ing t&r7e &% 0

    %tWlbs' This "re/tensi&ning is simlate! in Aba7sGtan!ar! by a!!ing a ctting sr%ace* &r "re/

    tensi&n secti&n* in the b&lt* as sh&wn in ?igre SSSS* an! sb.ecting it t& a tensile l&a!' The

    "r&ce!re t& create this assembly l&a! isH

    - )np%t ile ,sage

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    --2

    K2dT=

    (')

    where Tis the t&r7e l&a! (lb%W%t)*Kthe t&r7e c&e%%icient (!imensi&nless)* dthe n&minal !iameter

    (in)* an!2the !esire! clam" l&a! tensi&n (lbs)' The $ale &% Kis a !imensi&nless t&r7e c&e%%icient

    that enc&m"asses $ariables sch as th&se liste! ab&$e* as well as the m&st signi%icant $ariable*%ricti&n' The $ale &% can range %r&m 0'-0 %&r a well lbricate!Gwae! assembly* t& &$er 0'0 %&r

    &ne that is !irty &r rsty' The $ale &% se! in the %atige analysis is 0'20* which c&rres"&n!s t& a

    "lain* as recei$e! c&n!iti&n* slightly &ily assembly' There%&re* the tor8%e&% 0 lb%W%t a""lie! &n

    each b&lt is c&n$erte! t& a tension force&% 2*02'2 Newt&ns in AA# (?igre SSSS)'

    ?igre F

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    ?igre F M&!eling &% the %atige %itre in AA#GCAE1 the win!&w inter%ace !escribes the

    b&lt l&a! !e%initi&n* which is highlighte! in re! %&r a s"eci%ic b&lt* an! in yell&w %&r &ther b&lts'

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    ?igre F

    C.7.4. (aterial &efinition

    3e%&rmable c&m"&nents &% the MC %itreH

    - &m&gen&s elastic material !e%ine! sing the ,eyw&r! >#LAS!)C'

    - @&ng+s m&!ls &% ER200*000 M

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    ?igre F br&tine

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    C.7.4.f (ap Sol%tion from Springbac"Sintering Analysis

    I% Ma""ing

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    starte!' An in"t %ile can be generate! by selecting the .&b &% ch&ice an! then clic,ing 'rite

    )np%tin the Bob (anager'

    - Incl!e material in"t %ile 20D(aterial.inpi% material c&nstants %&r S#E; MATE;IAL

    n&t "re$i&sly !e%ine! in Aba7sGCAE'

    - M&!i%y t& a!! ma" s&lti&n %eatre* either S)*)!)AL C+*&)!)+*S? !@-#S+L,!)+*

    or >(A- S+L,!)+*?t& retrie$e the reslts in%&rmati&n &% the "rinbac, &r interingAnalysis'

    - Incl!e Initial &lti&n %ile(/CSol%tion)nitial.inp%r&m ma""ing "r&ce!re (secti&n C')

    i% sing S)*)!)AL C+*&)!)+*S? !@-#S+L,!)+*.

    Aba7s in"t %ilefatig%elife.inp