This is an open access article under the CC BY-NC-ND license http://creativecommons.org/licenses/by-nc-nd/4.0/.. Peer-review under responsibility of the organizing committee of SCESCM 2
Trang 1Procedia Engineering 171 ( 2017 ) 121 – 130
1877-7058 © 2017 The Authors Published by Elsevier Ltd This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Peer-review under responsibility of the organizing committee of SCESCM 2016.
doi: 10.1016/j.proeng.2017.01.318
ScienceDirect
6XVWDLQDEOH&LYLO(QJLQHHULQJ6WUXFWXUHVDQG&RQVWUXFWLRQ0DWHULDOV6&(6&0 2QWKHFRQILQHGKLJKVWUHQJWKFRQFUHWHDQGQHHGRIIXWXUHUHVHDUFK
a Department of Civil Engineering, Universitas Islam Sultan Agung, Semarang-Indonesia
b Structural Engineering Research Group, Department of Civil Engineering, Institut Teknologi Bandung, Bandung- Indonesia
$EVWUDFW
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
7KH$XWKRUV3XEOLVKHGE\(OVHYLHU/WG
3HHUUHYLHZXQGHUUHVSRQVLELOLW\RIWKHRUJDQL]LQJFRPPLWWHHRI6&(6&0
Keywords:+LJKVWUHQJWKFRQFUHWHVWUHQJWKFRQVWLWXWLYHHTXDWLRQVFRQILQHPHQWPRGHO
,QWURGXFWLRQ
,QIUDVWUXFWXUH GHYHORSPHQW UHTXLUHV H[FHOOHQW PDWHULDO TXDOLW\ DQG GXUDEOH VR PDQ\ LQQRYDWLRQV WR SURGXFH D
PDWHULDOWKDWKDVDKLJKTXDOLW\KDYHEHHQLQWHQVLYHO\FRQGXFWHG+LJKVWUHQJWKFRQFUHWHf’ c03DKDVVXSHULRU PHFKDQLFDO SURSHUWLHV DQG GXUDELOLW\ FRPSDUHG ZLWK QRUPDOVWUHQJWK FRQFUHWH EHFDXVH RI WKH KDUGQHVV RI WKH EUHDNGRZQRIDKLJKDQGDORZHUSRURVLW\+RZHYHUKLJKVWUHQJWKFRQFUHWHPDWHULDOLVEULWWOHOHVVGXFWLOHDQGPRUH VHQVLWLYHWRDVSHFWVRIWKHSODQQLQJDQGH[HFXWLRQRIFRQVWUXFWLRQFRPSDUHGZLWKPDWHULDOVPDGHRIQRUPDOVWUHQJWK
E-mail address:DQWRQLXV#XQLVVXODDFLG
© 2017 The Authors Published by Elsevier Ltd This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Peer-review under responsibility of the organizing committee of SCESCM 2016.
Trang 2FRQFUHWH +LJKVWUHQJWK FRQFUHWH PDWHULDO¶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
\LHOG VWUHVV RU FRQILJXUDWLRQV UHLQIRUFHPHQW DQG SURSRVLQJ GHVLJQ HTXDWLRQV HVSHFLDOO\ WR HQVXUH WKH VDIHW\ DQG GXFWLOLW\RIWKHFROXPQVWKDWDFFHSWHDUWKTXDNHORDGV>@
7KLVSDSHUGLVFXVVHVWKHEHKDYLRURIKLJKVWUHQJWKFRQFUHWHHVSHFLDOO\LQWKHFROXPQVWUXFWXUHWKDWDLPVWRHYDOXDWH VRPH GHVLJQ HTXDWLRQV WKDW KDYH EHHQ GHYHORSHG DQG DGRSWHG LQ WKH SODQQLQJ UHJXODWLRQV &RQILQHG FRQFUHWH FRQVWLWXWLYHHTXDWLRQVWKDWDIIHFWWKHQHHGRIFRQILQLQJUHLQIRUFHPHQWDUHDOVRGLVFXVVHGDQGFRPSDUHGWRLGHQWLI\WKH DFFXUDF\RIHDFKPRGHODJDLQVWH[SHULPHQWDOUHVXOWVWKDWKDYHEHHQGRQHE\WKHDXWKRU$WWKHHQGRIWKHSDSHUWKH GHYHORSPHQWPRGHORIFRQILQHPHQWRIDJHQHUDOQDWXUHZKLFKFDQEHDSSOLHGWRQRUPDODQGKLJKVWUHQJWKFRQFUHWH
7KHD[LDOFDSDFLW\RIWKHFRQFUHWHFROXPQ
7KHD[LDOFDSDFLW\RIWKHFRQFUHWHFROXPQP oWRWKHFRQFHQWULFD[LDOORDGLVGHWHUPLQHGE\WKHHTXDWLRQEHORZ
(TXDWLRQGRHVQRWWDNHLQWRDFFRXQWWKHHIIHFWRIFRQILQHPHQW61,>@WRVWLSXODWHWKHYDOXHRIĮLV
HTXDOWRIRUYDULRXVFRQFUHWHFRPSUHVVLYHVWUHQJWK1=6>@DOVRVHWVWKHYDOXHRIĮRILQWKH
HTXDWLRQDERYHEXWDSSOLHVIRUFRQFUHWHFRPSUHVVLYHVWUHQJWKXSWR03D,IWKHFRQFUHWHFRPSUHVVLYHVWUHQJWKLV
KLJKHUWKHQ
7KHĮYDOXHLVOLPLWHGWRQROHVVWKDQ(TXDWLRQVKRZVWKDW1=6KDVEHHQDFFRPRGDWLQJWKHGHFUHDVHRI
WKHFROXPQD[LDOFDSDFLW\ZKHQXVLQJKLJKVWUHQJWKFRQFUHWH
1H[WWKHDERYHHTXDWLRQDFFXUDF\ZLWKH[SHULPHQWDOUHVXOWVRIKLJKVWUHQJWKFRQFUHWHFROXPQDJDLQVWFRQFHQWULF
ORDGZKLFKKDVEHHQGRQHE\VHYHUDOUHVHDUFKHUVKDYHHYDOXDWHG>@)LJXUHVKRZVWKHUHODWLRQVKLSEHWZHHQȡ s f s /f' c
DQGWKHUDWLREHWZHHQWKHD[LDOORDGWHVWUHVXOWVP exp WRWKHD[LDOFDSDFLW\RIFROXPQVE\61,(TXDWLRQ)URP WKHVHUHODWLRQVKLSVVKRZWKDWWKHFRQILQLQJUHLQIRUFHPHQWUDWLRȡ sVLJQLILFDQWUROHLQLQFUHDVLQJWKHFDSDFLW\RIWKH D[LDOFROXPQ7KHKLJKHUWKHUDWLRRIWKHLQVWDOOHGFRQILQLQJUHLQIRUFHPHQWWKHPRUHLQFUHDVHWKHD[LDOFDSDFLW\ZLOO
EH*HQHUDOO\IURPWKHLPDJHLWLVDOVREHVHHQWKDWWKHYDOXHRIĮLVTXLWHVDIHLQWKHYDOXHRIZKHQWKHYDOXH
ȡ s f s /f' c LVKLJKHUWKDQ&RQYHUVHO\ZKHQWKHUDWLRȡ s f s /f' cORZHUHYHQEHORZWKHQLWLVTXLWHULVN\ZKHQXVLQJWKH
IDFWRULQWKHFDOFXODWLRQRIWKHFROXPQD[LDOFDSDFLW\7KHUHVXOWVVKRZWKDWĮYDOXHVHVSRXVHGLQWKH61,QHHGWR
EHPRGLILHGWRDFFRPPRGDWHKLJKVWUHQJWKFRQFUHWH
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
>@
Trang 3)LJXUH$[LDO&DSDFLWLHVRIFROXPQV>@
)LJXUH5HODWLRQEHWZHHQFRQFUHWHVWUHQJWKDQGYVİVSDOOݶFR
&RQVWLWXWLYHHTXDWLRQVRIFRQILQHGKLJKVWUHQJWKFRQFUHWH
,WLVNQRZQWKDWWKHGHVLJQSKLORVRSK\RIFRQILQLQJUHLQIRUFHPHQWLVWKDWZKHQLWUHFHLYHVDVHLVPLFORDGWKHFROXPQ D[LDOIRUFHDIWHUWKHFRYHUVSDOOLQJUHPDLQVZHOOSUHVHUYHG9ROXPHWULFUDWLRRIFRQILQLQJUHLQIRUFHPHQWUHTXLUHGLQ
WKHFROXPQLVGHWHUPLQHGE\WKHPDJQLWXGHRIWKHLQFUHDVHLQWKHVWUHQJWKRIFRQILQHGFRQFUHWHRUKYDOXH(TXDWLRQ KYDOXHXSWRQRZKDVEHHQZLGHO\SURSRVHGDQGJHQHUDOO\DGDSWHGWRWKHFRQGLWLRQVLQHDFKUHVHDUFKHUV¶FRXQWU\
f'c 03D
$QWRQLXV
&XVVRQ 3DXOWUH
Trang 43.1 Strength enhancement of confined concrete (K)
3.1.1 Model by Muguruma et al
0XJXUXPD HW DO >@ SURSRVHG D K YDOXH HTXDWLRQ EDVHG RQ H[SHULPHQWDO UHVXOWV RQ WKH FRQFUHWH ZLWK WKH
FRPSUHVVLYHVWUHQJWKRI03D7KHUHIRUHWKHPRGHOFDQEHDSSOLHGWRQRUPDODQGKLJKVWUHQJWKFRQFUHWH,WLV UHSRUWHG WKDW WKH PRGHO FDQ EH XVHG WR DQDO\]H WKH FRQFUHWH ZLWK FRQILQHPHQW WKDW KDYH D QRUPDO DQG KLJK \LHOG VWUHQJWKVWUHQJWK
KYDOXHHTXDWLRQLVPDWKHPDWLFDOO\ZULWWHQ
c f
¸
¹
·
¨
©
§
w
s
I
I
F
\K
C c FRHIILFLHQW GHSHQGV RQ WKH UDWLR RI FRQILQLQJ UHLQIRUFHPHQW ȡ \LHOG VWUHVV RI FRQILQLQJ UHLQIRUFHPHQW f yh
FRPSUHVVLYH VWUHQJWK RI FRQFUHWH f' c VSDFHG FRQILQLQJ UHLQIRUFHPHQW s DQG WKH FRUH FURVVVHFWLRQDO DUHD RI UHLQIRUFHPHQWw7KHDERYHHTXDWLRQGRHVQRWWDNHLQWRDFFRXQWWKHHIIHFWRIWKHFRQILJXUDWLRQRIWKHUHLQIRUFHPHQW
&RQILQLQJUHLQIRUFHPHQWDVVXPHGKDVEHHQ\LHOGHGDWWKHWLPHRISHDNUHVSRQVH
3.1.2 Model by Diniz & Frangopol
'LQL] )UDQJRSRO>@GHYHORSHGDFRQVWLWXWLYHPRGHOWKDWFDQEHDSSOLHGWRFRQFUHWHFRPSUHVVLYHVWUHQJWKRI
03DKYDOXHLVGHWHUPLQHGE\WKHIROORZLQJHTXDWLRQ
c le c c
cc
f
f f f
f
(TXDWLRQLQXQLWVRISVL&RQILQHPHQWLQGH[LVFDOFXODWHGE\WKHIRUPXOD
p e yt sh lat d s
f A f
LQZKLFKA sh = O A st
(TXDWLRQVKRZVWKDW'LQL]FRQVLGHUVWKHFRQILQLQJUHLQIRUFHPHQWKDVEHHQ\LHOGHGDWWKHWLPHRIPD[LPXP
UHVSRQVHȜIRUPIDFWRULVWKHUHLQIRUFHPHQWFRQILJXUDWLRQC fIDFWRULVXVHGWRFRUUHFWWKHYDOXHRIWKHVWUHVVVXSSOLHG E\FRQILQLQJUHLQIRUFHPHQWE\WKHIROORZLQJHTXDWLRQ
c f
d
s
6RWKDWWKHHIIHFWLYHODWHUDOVWUHVVLV
3.1.3 Model by Legeron & Paultre
/HJHURQ 3DXOWUH>@SURSRVHGDPRGHORIFRQILQHPHQWWKDWFDQEHDSSOLHGWRQRUPDODQGKLJKVWUHQJWKFRQFUHWH
KYDOXHLVFDOFXODWHGE\
c
f
f
&RQILQHPHQWLQGH[I' eIRUPXODWHG
le e
f f
Trang 5:KHUHf' leLVWKHHIIHFWLYHODWHUDOVWUHVV7KHVWUHVVRQWKHFRQILQLQJUHLQIRUFHPHQWLVREWDLQHGE\FDOFXODWLQJWKHILUVW VWUDLQRIFRQILQHPHQWDWWKHWLPHRIWKHFRQFUHWHUHLQIRUFHPHQWVWUHVVUHDFKHVDPD[LPXPDQGWKHQFDOFXODWHWKHVWUHVV WKDWFRUUHVSRQGVWRWKHVWUHVVRQWKHVWUHVVVWUDLQGLDJUDP/HJHURQPRGHOKDVEHHQXVHGDVWKHPDLQUHIHUHQFHWRORZHU WKHGHVLJQHTXDWLRQUHLQIRUFHPHQWRIFRQILQHPHQWZLWKUHJDUGD[LDOORDGOHYHODVZHOODVLQWKHGHVLJQRIFRQILQLQJ UHLQIRUFHPHQWDJDLQVWVHLVPLFORDGV>@
3.1.4 Model by Antonius et al
$QWRQLXVHWDO>@SURSRVHGDKLJKVWUHQJWKFRQFUHWHFRQILQHPHQWPRGHOEDVHGRQH[SHULPHQWDOUHVXOWVRIFRQFUHWH FRQFHQWULFURXQGFURVVVHFWLRQRIWKHORDG6WUHQJWKHQKDQFHPHQWRIWKHFRQILQHGFRQFUHWHLVEHORZ
¨¨§ ¸¸·
co co
cc
f
f f
f
f 2LVDHIIHFWLYHODWHUDOVWUHVVZKHUHWKHFRHIILFLHQWRIFRQILQHPHQWHIIHFWLYHQHVVIRUVTXDUHVHFWLRQZKRDGRSWWKH HTXDWLRQSURSRVHGE\0DQGHU>@5HVXOWVRILQYHVWLJDWLRQVFRQGXFWHGE\$QWRQLXVVWUHVVRIFRQILQLQJUHLQIRUFHPHQW DWWKHWLPHRISHDNUHVSRQVHLVQRWDOZD\V\LHOGKHQFHWKHVWUHVVWRDVTXDUHFURVVVHFWLRQFROXPQLVFDOFXODWHGE\WKH HTXDWLRQEHORZ
°¿
°
¾
½
°¯
°
®
»
»
¼
º
«
«
¬
ª
OQ
c s
c s
s
f d s E
f
U
3.2 Validation of K equations to the experimental results
7KHKHTXDWLRQVDERYHZLOOWKHQEHYDOLGDWHGZLWKGDWDIURPH[SHULPHQWVFRQGXFWHGE\$QWRQLXV ,PUDQ>@RQ
WKHWHVWLQJRIFRQILQHGQRUPDODQGKLJKFRQFUHWHZLWKVTXDUHFURVVVHFWLRQ7DEOH
7DEOH([SHULPHQWDOGDWDRIVTXDUHVHFWLRQXQGHUFRQFHQWULFORDGLQJV>@
6SHFLP HQ
03D
&RQILQLQJVWHHO Pmax
N1
&RQI VSDFLQJ Us
$
%
&
'
Trang 6)LJXUHLVDYDOLGDWLRQUHVXOWYDOXHKEDVHGRQPRGHOVWKDWKDYHEHHQGHYHORSHGZLWKDKYDOXHRIH[SHULPHQWDO UHVXOWVLQ7DEOHDERYH3UHGLFWLRQYDOXHKEDVHGRQ/HJHURQSURSRVHGLVJHQHUDOO\RYHUHVWLPDWLQJWKHYDOXHRIK WKHH[SHULPHQWDOUHVXOWV:KLOHLWLVJHQHUDOO\WKHYDOXHRIKEDVHGRQWKHSURSRVDO0XJXUXPD'LQL]DQG$QWRQLXV XQGHUHVWLPDWHWKHH[SHULPHQWDOUHVXOWV7KHVHUHVXOWVLQGLFDWHWKDWHDFKSURSRVHGKYDOXHGHSHQGVRQWKHQDWXUHRIWKH
PDWHULDOXVHGE\HDFKUHVHDUFKHU7KHUHYLHZHGSDUDPHWHUVDUHDOVRYDU\GHSHQGLQJRQWKHHVWLPDWHGKLJKO\LQIOXHQWLDO DQGDSSURSULDWHFRQGLWLRQVRIHDFKFRXQWU\
)LJXUHK YDOXHVRIPRGHOVYHUVXVH[SHULPHQWDOYDOXHV
0RGLILFDWLRQRIFRQILQHPHQWPRGHO
KYDOXHVGLVFXVVHGDERYHEDVLFDOO\GHWHUPLQHVWKHVWUHVVVWUDLQEHKDYLRURIFRQILQHGFRQFUHWHWRR7KHUHVXOWVRI
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
r
cc c cc
c cc c
r
r f f
¸¸
·
¨¨
§
¸¸
·
¨¨
§
H H H
H
c cc
cc cc
c cc c
f f
H H H H
)XUWKHUPRUHWKHSDUDPHWHUVVWUDLQDUH
K H[SHULPHQW
/HJHURQ 0XJXUXPD 'LQL]
$QWRQLXV
Trang 7
> K @
co
cc H
6WUHVVRIFRQILQLQJUHLQIRUFHPHQWLVGHWHUPLQHGE\HTXDWLRQ)XUWKHUPRUHWKHPRGHOPRGLILFDWLRQPDGHLVWKH
YDOXHHTXDWLRQRIKGXFWLOLW\SDUDPHWHUVİ c HIIHFWLYHODWHUDOVWUHVVDQGUHVLGXDOVWUHVVf r
7KHKHTXDWLRQEDVHGRQWULD[LDOWHVWVRIKLJKVWUHQJWKFRQFUHWHKDVEHHQGHYHORSHGE\,PUDQHWDO>@XVLQJ
2WWRVHQFULWHULDZKLFKLVDGRSWHGWRHVWLPDWHWKHVWUHQJWKLQFUHDVHLQQRUPDODQGKLJKVWUHQJWKFRQFUHWHFROXPQVGXH
WRFRQILQHPHQW7KHKHTXDWLRQLV
co l co
l co
cc
f
f f
f f
f
$QGIRUWKHUHVLGXDOVWUHQJWKHQYHORSH
co l co
l co
r
f
f f
f f
f
¨¨
§
)DLOXUHVWUHQJWKHQYHORSHVKRZQLQILJXUHVWDWHVWKDWWKHYDOXHHTXDWLRQKSURSRVHGLQWKLVPRGHOKDVDQRQOLQHDU VKDSHDQGWHQGWREHHTXDOWRWKHYDOXHHTXDWLRQKRI0DQGHUHWDO>@;LHHWDO>@DQG$QVDUL /L>@7KHK
YDOXHHTXDWLRQLVDOVRGHULYHGIURPWKHWULD[LDOWHVWLQJLQZKLFKHDFKXVHV\LHOGFULWHULD$QRWKHUSKHQRPHQRQWKDWLV
YLVLEOHLQWKHSLFWXUHLVWKHYDOXHHTXDWLRQKE\5LFKDUW>@DQGLVWKHEDVLVIRUGHWHUPLQLQJWKHYROXPHWULFUDWLRRI FRQILQLQJUHLQIRUFHPHQWE\61,LVXQGHUHVWLPDWLRQRIODWHUDOORZVWUHVVXSWRf 2 f' coaFRPSDUHGZLWKRWKHU HTXDWLRQV
)LJXUH)DLOXUHVWUHQJWKHQYHORSHRIKPRGHOV
Trang 8
4.2 Ductility parameter
,QWKHYDOXHRIKLQWKHDERYHHTXDWLRQDIIHFWVWKHEHKDYLRURIFRQILQHGFRQFUHWHGXFWLOLW\7KHGDWDRIWHVWUHVXOWV
URXQGFURVVVHFWLRQFROXPQE\$QWRQLXV>@DQGDVTXDUHFURVVVHFWLRQFROXPQWHVWGDWDE\$QWRQLXV ,PUDQWREH VXEVHTXHQWO\FRPELQHGWRGHWHUPLQHWKHSDUDPHWHUVRIWKHQHZGXFWLOLW\5HVXOWVRIUHJUHVVLRQ\LHOGVWKHHTXDWLRQVHH )LJXUH
4.3 Effective lateral stress
,W KDVEHHQ REVHUYHG WKDWIRU FRQILQHG FRQFUHWH ZLWK VTXDUH VHFWLRQV WKDW IRU VSDFLQJVRI WLHV JUHDWHUWKDQ OHDVW GLPHQVLRQRIWKHFROXPQWKHFRQILQLQJHIIHFWVDUHQHJOLJLEOH>@WKHUHIRUHWKHODWHUDOVWUHVVIRUVTXDUHVHFWLRQZLWKD FRUUHFWLRQIDFWRUSURSRVHGE\'LQL] )UDQJRSRO>@LVDGRSWHG
¸
¹
·
¨
©
§
¸¸
·
¨¨
§
c
d
s k
)LJXUH5HJUHVVLRQRIH85cHTXDWLRQ
&RUURERUDWLRQZLWKWKHH[SHULPHQWDOUHVXOWV
7KH PRGLILHG VWUHVVVWUDLQ UHODWLRQVKLS IRU FRQILQHG FRQFUHWH LV WKHQ XVHG WR VLPXODWH H[SHULPHQWDO UHVXOWV RI UHLQIRUFHGFRQFUHWHFROXPQVLQ7DEOHDERYH7KHFRPSDULVRQVRIWKHPRGLILHGPRGHOZLWKVSHFLPHQVIRUVTXDUH VHFWLRQVVKRZHGLQ)LJXUHWKURXJK,WFDQEHVHHQIURPWKRVHILJXUHVWKDWWKHPRGLILHGPRGHOVLPXODWHWKHVWUHVV VWUDLQRIFRQILQHGQRUPDODQGKLJKVWUHQJWKFRQFUHWHRQWKHSUHDQGSRVWSHDNUHVSRQVHVDWLVIDFWRULO\
H85
’cc
K
Trang 9)LJXUH0RGLILHGPRGHOYVH[SHULPHQWDOUHVXOWVIRU$FRQILJXUDWLRQ
)LJXUH0RGLILHGPRGHOYVH[SHULPHQWDOUHVXOWVIRU%FRQILJXUDWLRQ
)LJXUH0RGLILHGPRGHOYVH[SHULPHQWDOUHVXOWVIRU&FRQILJXUDWLRQ
)LJXUH0RGLILHGPRGHOYVH[SHULPHQWDOUHVXOWVIRU'FRQILJXUDWLRQ
&RQFOXVLRQ
)XUWKHUVWXGLHVRQFDOFXODWLRQRID[LDOFDSDFLW\RQKLJKVWUHQJWKFRQFUHWHFROXPQVDUHQHHGHGZKHUHWKHFRHIILFLHQW
ĮLQHTXDWLRQQHHGVWREHUHYLHZHGDQGPRGLILHG3UHPDWXUHFRYHUVSDOOLQJRFFXUVLQKLJKVWUHQJWKFRQFUHWHHYHQ
GDWD IURP SUHYLRXV VWXG\ FRYHU VSDOOLQJ RFFXUV LQ FRQFUHWH FRPSUHVVLYH VWUHQJWK IURP 03D (TXDWLRQ RI WKH LQFUHDVHVRIWKHVWUHQJWKRIFRQILQHGFRQFUHWHGHYHORSHGE\UHVHDUFKHUVKDVGLIIHUHQWFKDUDFWHULVWLFVIURPRQHDQRWKHU
DQGLQJHQHUDOWKHUHVXOWVRISHUIRUPHGWHVWVDUHYHULILHGE\\LHOGFULWHULD,QJHQHUDOWKHKYDOXHHVSHFLDOO\IRUKLJK
VWUHQJWKFRQFUHWHXVHVQRQOLQHDUHTXDWLRQV0RGLILFDWLRQRIFRQILQHPHQWPRGHOVDSSOLHGIRUFRQFUHWHZLWKDZLGH UDQJHRIFRPSUHVVLYHVWUHQJWKZDVSUHVHQWHG
,QWKHGHULYDWLRQWKHFRQFUHWHVWUHQJWKLQFUHDVH KGXHWRWKHV\PPHWULFDOFRQILQHPHQWZDVDGRSWHGZLWKWULD[LDO
VWUHVVRIGDWDWKURXJKWKH2WWRVHQFULWHULD:LWKLQWKHYHULILFDWLRQWKHSHUIRUPDQFHRIWKHPRGLILHGVLPXODWLRQPRGHOV LQWKHVWUHVVVWUDLQEHKDYLRURIWKHFRQILQHGQRUPDODQGKLJKVWUHQJWKFRQFUHWHFROXPQVWRWKHFROXPQWHVWVXQGHU FRQFHQWULFORDGLQJVZDVIRXQGVDWLVIDFWRU\,QOLQHZLWKSUHYLRXVDXWKRUUHFRPPHQGDWLRQ>@UHVHDUFKSURJUHVVKDV
EHHQ DFKLHYHG UHJDUGLQJ ZLWK WKH FRQILQHG KLJKVWUHQJWK FRQFUHWH LW VWLOO QHHGV WR EH GHYHORSHG IXUWKHU PDLQO\
H[SHULPHQWDO SURJUDP WR F\FOLF ORDGLQJ LV H[SHFWHG YHU\ XVHIXO LQ RUGHU WR FRPSOHWH WKH FRQFUHWH UHJXODWLRQV LQ ,QGRQHVLD61,
&RQFUHWHD[LDOVWUDLQ
0RGLILHG0RGHO ([S
ȡV
V PP I\ 03D
[PP
&/
&RQFUHWHD[LDOVWUDLQ
0RGLILHGPRGHO ([S
ȡV
V PP I\ 03D
[PP
'/
'0
'+
Trang 10
5HIHUHQFHV
>@ $QWRQLXV%HKDYLRXURI+LJK6WUHQJWK&RQFUHWH&ROXPQV6XEMHFWHGWR&RQFHQWULFDQG(FFHQWULF$[LDO/RDGV'LVVHUWDWLRQ,QVWLWXW7HNQRORJL
%DQGXQJLQ,QGRQHVLDQ
>@ 2%D\UDN6HLVPLF3HUIRUPDQFHRI5HFWLOLQHDUO\&RQILQHG+LJK6WUHQJK&RQFUHWH&ROXPQV3K''LVVHUWDWLRQ8QLYRI7RURQWR
>@ ,QGRQHVLDQ1DWLRQDO6WDQGDUG5HTXLUHPHQWVRI6WUXFWXUDO&RQFUHWHIRU%XLOGLQJ61,LQ,QGRQHVLDQ
>@ 1HZ=HDODQG6WDQGDUG&RQFUHWHDQG6WUXFWXUHV6WDQGDUG3DUW7KH'HVLJQRI&RQFUHWH6WUXFWXUHV,1=63DUW
>@ $QWRQLXV3HUIRUPDQFHRI+LJK6WUHQJWK&RQFUHWH&ROXPQV&RQILQHGE\0HGLXP6WUHQJWKRI6SLUDOVDQG+RRSV$VLDQ-RXUQDORI&LYLO (QJLQHHULQJSS
>@ ' &XVVRQ 3 3DXOWUH ([SHULPHQWDO 6WXG\ RI +LJK6WUHQJWK &RQFUHWH &ROXPQV &RQILQHG E\ 5HFWDQJXODU 7LHV 3URF RI +LJK6WUHQJWK
&RQFUHWH&RQI1RUZD\-XQHSS
>@ $QWRQLXV 7KH ,QIOXHQFH RI /DWHUDO 5HLQIRUFHPHQW WR WKH &RYHU 6SDOOLQJ 0HFKDQLVPV IRU +LJK6WUHQJWK &RQFUHWH &ROXPQ 6WUXFWXUHV 3URFHHGLQJRI1DWLRQDO&RQIHUHQFH(DUWKTXDNH(QJLQHHULQJ,,8*0<RJ\DNDUWD-DQXDU\SSLQ,QGRQHVLDQ
>@ 6%DH2%D\UDN6WUHVV%ORFN3DUDPHWHUVIR+LJK6WUHQJWK&RQFUHWH0HPEHUV$&,6WUXFWXUDO-RXUQDOSS
>@ +&0HUWRO65L]NDOOD3=LD$0LUPLUDQ&KDUDFWHULVWLFVRI&RPSUHVVLYH6WUHVV'LVWULEXWLRQLQ+LJK6WUHQJWK&RQFUHWH$&,6WUXFWXUDO -RXUQDOSS
>@+0XJXUXPD01LVKL\DPD):DWDQDEH6WUHVVVWUDLQ&XUYH0RGHOIRU&RQFUHWHZLWKD:LGH5DQJHRI&RPSUHVVLYH6WUHQJWK3URFRI +LJK6WUHQJWK&RQFUHWH&RQI1RUZD\SS
>@60&'LQL]'0)UDQJRSRO6WUHQJWKDQG'XFWLOLW\6LPXODWLRQRI+LJK6WUHQJWK&RQFUHWH&ROXPQV-RXUQDORI6WUXFWXUDO(QJ$6&(
SS
>@)/HJHURQ33DXOWUH8QLD[LDO&RQILQHPHQW0RGHOIRU1RUPDODQG+LJK6WUHQJWK&RQFUHWH&ROXPQV-RXUQDORI6WUXFW(QJ$6&(
SS
>@33DXOWUH)/HJHURQ&RQILQHPHQW5HLQIRUFHPHQW'HVLJQIRU5HLQIRUFHG&RQFUHWH&ROXPQV-RXUQDORI6WUXFWXUDO(QJ ASCE
>@-%0DQGHU0-13ULHVWOH\53DUN7KHRULWLFDO6WUHVV6WUDLQ0RGHOIRU&RQILQHG&RQFUHWH-RXUQDORI6WUXFWXUDO(QJ$6&(
SS
>@$QWRQLXV,,PUDQ([SHULPHQWDO6WXG\RI&RQILQHG/RZ0HGLXPDQG+LJK6WUHQJWK&RQFUHWH6XEMHFWHGWR&RQFHQWULF&RPSUHVVLRQ ,7%
-RXUQDORI(QJLQHHULQJ6FLHQFHSS
>@8.6KDUPD3 %KDUJDYD6..DXVKLN%HKDYLRU RI&RQILQHG+LJK6WUHQJWK&RQFUHWH&ROXPQVXQGHU $[LDO&RPSUHVVLRQ-RXUQDORI
$GYDQFHG&RQFUHWH7HFKQRORJ\SS
>@,,PUDQ6XKDUZDQWR00RHVWRSR'%UDKPDQW\R6WUHVV6WUDLQ5HVSRQVHRI&RQILQHG+LJK6WUHQJWK&RQFUHWH-RXUQDORI&LYLO(QJ,7%
SSLQ,QGRQHVLDQ
>@-;LH((OZL-*0DF*UHJRU1XPHULFDO,QYHVWLJDWLRQRI(FFHQWULFDOO\/RDGHG+LJK6WUHQJWK&RQFUHWH7LHG&ROXPQV$&,6WUXFWXUDO -RXUQDOSS
>@)$QVDUL4/L+LJK6WUHQJWK&RQFUHWH6XEMHFWHGWR7ULD[LDO&RPSUHVVLRQ$&,0DWHULDOV-RXUQDOSS
>@$QWRQLXV6WXGLHVRQ7KH3URYLVLRQVRI&RQILQLQJ5HLQIRUFHPHQWIRU+LJK6WUHQJWK&RQFUHWH&ROXPQ3URFHGLD(QJLQHHULQJ9RO QG 6&(6&06HSWSS
... Trang 4
3.1 Strength enhancement of confined concrete (K)
3.1.1 Model by Muguruma et al
0XJXUXPD...
Peer-review under responsibility of the organizing committee of SCESCM 2016.
Trang 2FRQFUHWH...
s
f d s E
f
U
3.2 Validation of K equations to the experimental results
7KHKHTXDWLRQVDERYHZLOOWKHQEHYDOLGDWHGZLWKGDWDIURPH[SHULPHQWVFRQGXFWHGE\$QWRQLXV ,PUDQ>@RQ