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CONCRETE LIBRARY OF JSCE NO. 20, DECEMBER 1992 APPLICATION OF FRACTURE MECHANICS TO SIZE EFFECT ON FLEXURAL STRENGTH OF CONCRETE (Reprint from Proceedings of JSCE, No.442/V—16, Feb. 1992) _ ' -: :- I. :;.i. _ ' - .-r-':~:-1-M-a->:~:~ *~r gm ~15‘ . ~ . '-‘-‘-‘1 "1': .._-.'.-.25-I 1- ' I -- ‘. _ . 1». " .-:-:=. '-'-er:-1:11: " -=E===- ' §:§1§';._ . . . __.;:§:I:§ "7'5:E§311:3.-::' . .' . - ..-.-:-:~:-;-;I:~.I ‘<1:?:I-1:1-1 ~=:=:-:-.‘~."='-. =<:=§_-:-:- .. ;:-.;:-:-:;:;"~:;.-: _ ' __.;:;:;:;:-:;:;:;;;:;:-: . _:;:;:;~\\_:__\:§:§:;:;:_ '-:;:;. ‘"- -- -. -:*I:5I§-:I:I§:-§I:’:§:§'§1§': - - . .- ._-31:23:?:I:IS§=:=:=$:1:=§=§E: \ ' _ _§;:-.e:;:;:;:;:;:;:-:z~:;:;:;':-:;:-';,::-:;.:_:;=; -A _.;;:;:§:;§:§:§:§§§§:§§g§;1$:;:;:;:__ __ .. . .. -=:=;>_.>.-:=- 5:51{E525555;E;E5€IE§IIE5EI.I;§E;E1EI.-Ii-E1515IEIE-.'?'EIE=EIi=-:-. ' " __-.;__3=====5=5==s=5:351;=5=§<=-:>$:===*1=¥====Eu _ ‘==-. 1: - : .-:---.4-:-:-1-1--1:47-7:1-1: ' "3i:1"';1;; -. __; _;:_ .;;;:;;;. _ . ___;:-;:;:~:§§:-:$:-:-:§-:-:-:-:-:-:$:=:=:$:=:=§EiEL<t- - ._ ' e . "§§-II?-Y IEIE-}EI.I:I.-:1:51.111151-'-*1-I;I:ISI'IEI;?'-'1:-:-f:1:§:1' 51511121; _.5;:§:;$:§:§:§;§:§:§:§:§5515$:-E1515I§I§$E!§$§IE=E=§1i§3==:-I'-'. ' '_ E": .-IE5:ixgiiiQ-FEI§!:I:1:-:$IE=E=:I§E§-==!§:E:§:2\_$§;I:§:;:;: :;: '-1:§:;:;;§-' - '-1:1-I;§:"1":_; -1-'_j_': -'_§:':':':':I.-: ":12. . *1: ;-; 5:1:-;I;':I;I. _I;I;_;:;:y§:;:;:g:;:;:;:;:;:;$$;;:5§:§_j:f~=:I:§:?:1:¥:f:!:=:Q?:-?:¥=:_:§:;.g:§~.=:§:§\§:§:§:?:kizli-:§:i:i~=:$:-i¢fi=:=§§:§:=:I:I$:=:=."Q_\ .- 11:1:-; ;-;-.-;-; .-;I.- -' ;-;I;- I I;-;-;';:;:-'_ ;: 2-"; .111;:~:-:-:-:-:-:-x-:-:-:~:~:'~:-.-:~;-:-:-:~;-;-:-:-:>:I:=:<I:=:i:§\&§-:-:-~ _ -_§-:-'<;:1:?:§.\§;.>;§:;:;:;.; :-:;:§'\~;-:--t-_:-:-xx->:\ _. ._ >;.-- A -- .9: ;-. -:-:: ::::; : : :7 -:-:-:-:-:-:-:-:-:~:=:?‘i'I:I:i:I:I:IR:I1P-I~I->7-I-I-‘~:-I-I\:-:-:-:-:~§-:-:-:-:‘- -- i-. - ;i:\;I;I;I:§?I-I'-I?-:1!‘+:-:-'5:~:-:-:-:-'~~:-:-:i‘- ---;-_-; '~ I-' -- ; 1. .'<-1.1:-21;:-" ":1111=;=111-I, =;215;:=IE=1==§Y:5:5:§:5:§§:§:5$:=:{:5:_:§:5:=:=s:=BE=:=:====%;=:=:=:=:=::5- .=="=;"?§== '==E=£5=E=E===E£13E11¢$=:5:3:-:=$=:=====:§<\5N=E=E=§:1i=E=E$fi:=:=:$== s ";=;:==-<\=&=; .I"Ir5=;::5-5:=-J‘-I-1, -:5 -: In .5: £1;-.-:2->5-5: i=315:2}=5:5:5:5s15:5:§§=5:§;=5:s=5=5%=;;_- ‘-=E=55=$s§E$=§§1E=§E=E1?1E=§. 1.53. ~i=='= F5~55IE!§§:E:§§SQI:I:I5QIEI:¥?IE=§§iE!§II':1$:=:?%§=§=§i§!§I=iE=E=E'§EiEI=:~. 5:152-5 ::z='i3:z-' 5*: ="-"‘-'i'='=1§§=-=; ‘.1552: '555EE§35E=E5EEE$5&>E5$E=§5=§=E=E=£5&rE=E5Ei5’=5E=E§EEE¥i55§§55‘$5=E5E5E5i5E==-F 3 §=‘=‘=§=:"i'<E; ;I—1'jj§:':'-j j*__§.}l:;jI. .1;-I:_._._;¢ 5 -:I.I‘I:I:'~Y I:55:1:I:=:=:$5;I_':¢5I51:1‘-:===:$IE==I3iIEIEI§IEI;I12§$§.j§;:§:;:;:§§?:§%§:§:5:}:I:= :Efi§§:§§\<‘§=:=:;$i:E'R:§:j<§;!§§Q§$:I:§:§:§§<E§:§:§§I:i:=:I:?:I:I:1:1§?§§E_ §::§§;§;:§:;§-':;:;:;-.;;:;:;:;:_:-:-:;:;.1;:-:_._:-.: ; ' 1 ~_':§—:3.3.—:i 1:_:3;I:I‘!"!'!~\_~i_;l;_ -'~‘-:~:1:I:-»:3_'- " --- ‘-'-'5“-“-'-‘-‘~‘~:->$1553:i:l;l'5“““‘-‘-‘"“ Yuichi UCHIDA Keitetsu ROKUGO Wataru KOYANAGI SYNOPSIS The size effect on the flexural strength of concrete is investigated through the finite element analysis with a fictitious crack model. Based on the numerical results, an equation to estimate flexural strength of concrete beams with different depths is proposed. The depth of specimens as well as the tensile strength and the characteristic length of concrete are the parameters in the proposed equation. The estimated flexural strengths obtained using the proposed equation are in good accordance with experimental results. A practical method is also proposed, which is convenient for the so—called discrete element method for calculation of the complete load- deflection curves of concrete beams in bending. Keywords: concrete, size effect, flexural strength, fracture mechanics, finite element analysis Y. Uchida is an assistant of the Civil Engineering Department of Gifu University, Gifu, Japan. He received his Master of Engineering Degree from Gifu University in 1983. His current research interests include the numerical analysis and the fracture mechanics of concrete. He is a member of JSCE, J CI and ACI. K. Rokugo is an associate professor of the Civil Engineering Department of Gifu University. He received his Doctor of Engineering Degree in 1980 from Kyoto University. His research work covers the failure behavior of concrete and reinforced concrete members. He is a member of JSCE, JCI, ACI, RILEM and CEB. W. Koyanagi is a professor of the Civil Engineering Department of Gifu University and a member of the administrative council of Gifu University. He received his Doctor of Engineering Degree in 1977 from Kyoto University. His research interests cover the design methods of concrete structures and the applications of new building materials. He is a member of JSCE, JSMS, JCI and ACI.

APPLICATION OF FRACTURE MECHANICS TO SIZE ...library.jsce.or.jp/jsce/open/00670/No20/CLI-20-0087.pdfKeywords: concrete, size effect, exural strength, fracture mechanics, finite element

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  • CONCRETE LIBRARY OF JSCE NO. 20, DECEMBER 1992

    APPLICATION OF FRACTURE MECHANICS TO SIZE EFFECTON FLEXURAL STRENGTH OF CONCRETE

    (Reprint from Proceedings of JSCE, No.442/V—16, Feb. 1992)

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