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24 ;?03(?1 0&6>1 1 %+"2.!2"+/%12)*0%/3%(*0!"!0*0%./%12)*0%/3%(*%"%4#5+$%*1%".?. % %$ '+%".'%+ /3*"%0("!5 %& ($A!7*%K!&* %6L%"$2.(".)%+ ($$2.+12)*0!7*%+/%1!/%%"2 /2""'% %.)%+ ($$2.+12)*0!7*%+/3%(*%"(9+#!++%#200%)% %#200("/%".Q2"&%.`("\] Ratio des vides dans la pâterv Zone de fluidification de la pâte A C Volume d eau en excèsv EE R vmin B Volume d air V air Volume d eau V E Volume d eau minimum V EM R Emin Ratio d eaur E (en volume) 0&@>'0'( 1':

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i solide Vrécipient Vi RV = solide 7*(.!2" i Vi solide i Vi pâte = solide ρ R e e + M i ρr i i 7*(.!2"6 1%# RV (.!2/%+1!/%+ V 12)*0%/* '#!$!%". récipient solide Vi +200%/%+12)*0%+/%+& (!"++2)!/%+K#!0%".a0'.(:(2)!"L/("+)($-.%K)($(.!% i +2)!/%/*+*$% $)(+.!>!(".('.'"'&)!&'%L M 0(++%/%)($-.% pâte ρe 0(++%12)*0!7*%/%)3%(* Re (.!212)*0!7*%/%)3%(* ρi 0(++%12)*0!7*%/%+& (!"++2)!/%+K#!0%".a0'.(:(2)!"L Ri (.!212)*0!7*%/*#!0%".%./*0'.(:(2)!"K$( ($$2.,)(+200%.2.()%/% $2*/ %L! " (>!&* %6$ '+%".%. 2!+$2!".+#( (#.'!+.!7*%+#2 %+$2"/(".,. 2!+'.(.+/!>>' %".+/% #2"+!+.("#%/%)($-.% (*$2!".)($-.%"3%+.$(+(++%E)*9!>!'%$( )3%(*(H2*.'%($-.%()(#2"+!+.("#%/3*"% $2*/ %A*0!/%K(&&)20' (./%& (!"+/%$2*/ %L%."%$%*.$(+?. %#20$(#.'%0?0% +2*+1!9 (.!2"V

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b=#2 %+$2"/,)3'&()!.'RvbRe2U.2*+)%+1!/%++2". %0$)!+$( /%)3%(*#3%+.,/! % 7*% )( $-.% %+.+(.* '%%. 7*3!) "% $% +!+.% $)*+ /3(! %..%+!.*(.!2" %+. %"$ (.!7*% %"#2". '%*"!7*%0%".$2* /%+>2.%+.%"%* +%"%(* #$% & V E min imum '(" %$2!".#2 %+$2"/,)(0%!))%* %#20$(#!.'7*3!)%+.$2++!9)%/329.%"! /("+)%#2".%4.% %4$'!0%".()(1%#*" (.!2/%+1!/%+0!"!0*0/%)($-.%Rvmin% (.!2/%+1!/%+0!"!0*0%+. %0$)! $( )% 12)*0% /3%(* #2 %+$2"/(". (* (.!2 /3%(* 0!"!0*0 %. $( )% 12)*0% /3(! %". (!"' K@ (! L )2 + /* 0()(4(&% K!&* % 6L )2 + )% 12)*0% 0!"!0*0 /3%(* %+. '&! $( )3'7*(.!2"+*!1(".% solide Eminimum min i i 7*(.!2"< V = R V. V 1%# V Eminimum Vmin solide i 12)*0%/3%(*0!"!0*0 R (.!2/%+1!/%+0!"!0*0 V +200%/%+12)*0%+/%+& (!"++2)!/%+K#!0%".a0'.(:(2)!"L/("+)($-.%K)($(.!% i +2)!/%/*+*$% $)(+.!>!(".('.'"'&)!&'%L ) *% +, %" 1%#*"!7*%0%".)(7*(".!.'/3%(*$% 0%..("./3(..%!"/ %)% (.!2/%+1!/%+0!"!0*0K$2!".L )($-.%"%$%*.$(++3'#2*)%,#(*+%/%+#2".(#.+7*!+3'.(9)!++%".%". %)%+& (!"+2* '1!.% #%+>!#.!2"+!)%+."'#%++(! %/%)*9!>!% )%+& (!"+%"# '(".*"%>!"%$%))!#*)%/3%(*(*.2* /% #%+ /% "!% + ) %+. /2"# "'#%++(! % /% (H2*.% *" 12)*0% /3%(* +*$$)'0%".(! % 7*% )32" 7*(".!>!% ( %" >2"#.!2" /%+ $ 2$!'.'+ A'2)2&!7*%+ 7*% )32" /'+! % K+%#.!2" <L "

27 ;?03(?1 #2"+!/' % (7*%#%12)*0%/3%(*%"%4#5+KVE L$ %"/ ()(>2 0%/3*"%>!"%$%))!#*)%/3%(*7*! excès %".2* % (#A(7*%& (!"/%$2*/ %K>!&* %L% V E +% (#()#*)'K+%)2")3'7*(.!2"L%" excès 0*).!$)!(".)3'$(!++%* /3%(*%"%4#5+K L(*.2* /%#A(7*%& (!"$( )(+* >(#%/!+$2"!9)% /'1%)2$$'%$( #A(7*%& (!"(+* >(#%/%#2".(#./!+$2"!9)%$2* )3%(*%"%4#5+%+.#()#*)'% $( *"%0%+* %/%+* >(#%+$'#!>!7*%%..%1()%* /%+% (0%+* '%+* #!0%".%.+* 0'.(:(2)!" $!+ +'$( '0%". 2" $%*. %" %>>%. #2"+!/' % 7*3%" +*+$%"+!2" )3%>>%. /* +*$% $)(+.!>!(".1!%""%+'$( % )%+& (!"+)%+*"+/%+(*. %+ Eexcès E solide V E Mi S = 7*(.!2" i BET i 3'$(!++%* /3%(*%"%4#5+"3%+.$(+#2""*%0(!+$%*.?. %#()#*)'%& -#%,)3'7*(.!2"+*!1(".% E E = solide i V Eexcès M i S BET i V = Etotal solide i V M Eminimum i S BET i V = Etotal solide i R Vmin M i S BET i V i i 7*(.!2" 1%# V 3 Eexcès EE Mi3 D :F BET Si 3 V 3 Etotal <0<7D :F 4 5 VE min imum 34 5 R 3 Vmin 4 i V 3 4 i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φ ρa = ρ M = V exp 7*(.!2" ρa 7*(.!2"; a 1%# φ exp #20$(#!.'0(4!0()%%4$'!0%".()% ρa 0(++%12)*0!7*%($$( %".%/*0')("&%/%& ("*)(.+ ρ 0(++%12)*0!7*% '%))%/*0')("&%/%& ("*)(.+ M 0(++%/*0')("&%/%& ("*)(.+ Va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retenue L V granulats )43 V granulats 1 V = 1 + E pâte V retenue air 12)*0%/%+& ("*)(.+ 7*(.!2"

29 ;?03(?1 V 12)*0%/%$-.% pâte Vair 12)*0%/3(! Eretenue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39 ;?03(?1 )3(*&0%".(.!2"/%)(7*(".!.'/%0'.(:(2)!"$%*.%". (!"% *"%# 2!++("#%/%+1!/%+%". % )%+& (!"++2)!/%+7*!+% (!%".(##%++!9)%+,)3%(* %12)*0%/3%(*0!"!0*0 V E min imum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min #%/% "!% '.("./'$%"/("./%)(7*(".!.'/%0'.(:(2)!"(1()%* /*12)*0%/3%(*%"%4#5+%+. *.!)!+'%$2* #()#*)% )3'$(!++%* /3%(*%"%4#5+ %..%/% "!5 %$% 0%./%0%.. %%"(1(". E totale E imum

40 ;?03(?1 *"% %)(.!2"%". %)3'#2*)%0%"./%)($-.%%.)3'$(!++%* /3%(*%"%4#5++%. 2*1(".(*.2* /% #A(7*%$(.!#*)%K#3%+.#%..%'$(!++%* /3%(* 7*! %"/$2++!9)%)3'#2*)%0%".L 1+$% +,%"% +,$" ( 2 "+" ( V totale E = 173l V imum E = 89l min BET BET BET Mi Si = Mciment Sciment + MMK SMK = 0.91* *1000*80 = m² -( VE VE = VE = = 84l totale minimale excès E E VE excès = = = 0.052µ m solide BET M S 0.91*1000* *1000*80 i i i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mélanges 2 (Mk/(Mk+C) = 0.13) #% 89' #% mélanges 3 (Mk/(Mk+C) = 0.20) 20 mélanges 4 (Mk/(Mk+C) = 0.26) ,000 0,020 0,040 0,060 0,080 0,100 '56#7%

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aL b =6, =L )3(*&0%".(.!2"/%)3'$(!++%* /%)(#2*#A%/3%(*%"%4#5+%". (!"%*"% '/*#.!2"/%)( 1!+#2+!.'/%)($-.%/%#!0%".K>!&* %;L 3($ 5+*"%'.*/%$ ')!0!"(! %$2.(".+* /%+>(!.,9(+%/%>!"%+/%>!))% #()#(! %\])( 1!+#2+!.'"'#%++(! %,)329.%".!2"/3*">)*!/%%.+.(9)%%+./%(+,+ "*.!)!+(".)( >!&* %;9!)%+.$2++!9)%/%>!4% *"%1()%* /3'$(!++%* /3%(*%"%4#5+#2 %+$2"/(".(* #!.5 %/%1!+#2+!.' %.%"*( %4%0$)%$2* *"%$-.%/2".)% (.!2%+./%:Mb=)3'$(!++%* /3%(*%"%4#5++% ($!+%'&()%,==j02*+*.!)!+% 2"+#%#!.5 %$2* >2 0*)% *", 9(+%/%0'.(:(2)!")%/'.(!)+% (%4$)!7*'/("+)($(.!%<6 mélanges 2 (Mk/(Mk+C) = 0.13) mélanges 3 (Mk/(Mk+C) = 0.20) mélanges 4 (Mk/(Mk+C) = 0.26) 0 0,000 0,020 0,040 *;*! 0,060 0,080 0,100 '56#7% 0&>+'1 ': >23 (''23$1'1 %+29+% 1(.!2"++*!1(".%+$%*1%".?. %>(!.%+ 2.2"+7*%)(0'.A2/%/%)3'#2*)%0%".(*#S"%/%( +A%4$)!7*'%+* )(>!&* %$%*.?. % (*++!*.!)!+'%3'7*!1()%"./*#!.5 %/3'#2*)%0%"./%(++%+!.*%/2"#$2* *"'#2*)%0%".

42 ;?03(?1 (*#S"%/%( +A%". %=%.=+$2* 7*%=0)K+* )%+==0)/%/'$(.L/%$-.%+3'#2*)%". /*#S"%K>!&* %L! " #$% 1 7!':6HI % '.'1H9HC6J ;9B96 "0 ) -"+ 32$.!0!+(.!2"/%)(#2* 9%& ("*)(! %9(+'%+* )3%++(!/%#20$(#!.'0(4!0()%/3*"+(9)%K=<L %.*"& (1!))2"K<<L 2*)'+%.+!)!#%*4%+./'#!./("+)(>!&* %=% (.!22$.!0()M. 2*1',)(+*!.%/%#%.%++(!%+./%(1()%* /*Mb+% (#2"+% 1'%$2* )(+*!.%/% )3'.*/%/%>2 0*)(.!2" 6 () 56 *;*! &' ()#%

43 ;?03(?1 5.<38 0&;H> '0 $''=4" (/%0("/%%"%(*/%+& ("*)(.+%+.0%+* '%+* *"'#A(".!))2"& ("*)(! %2$.!0!+'KMb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k/%0("/%%"%(*l$( )%+7*%)%..%& ("*)(! %7*%)32" (H2*.% (,)( $-.%!#%..%'.($%"3%+.$(+$!+%%"#20$.%2"+2*+%+.!0% ()(7*(".!.'/3%(*7*%)%+7*%)%..% & ("*)(! %($$2.% (,)($-.%K.(9)%(*L

44 ;?03(?1 &"=>#*"+?/+"+% #?. 50 F DKF N N ) #" $" >!" /% 1()!/% )( 0'.A2/% /% >2 0*)(.!2" )%+ '+*).(.+, )3'.(. > (!+ %. )%+ $( (05. %+ A'2)2&!7*%+0%+* '+)2 +/%+0("!$*)(.!2"+2".'.'#20$( '+,/%+/2""'%+!++*%+/%02/5)%+ $ 21%"("./%)()!..' (.* %%+%*!)/%#!+(!))%0%".('.'#()#*)',)3(!/%/%)3'7*(.!2"=!)%+. /'$%"/("./3*" (82"/%$ 2$(&(.!2"0%+* '/* (".)%.%+./3'.()%0%".K L/*12)*0%/%9'.2" 0!+/("+)%#S"%/39 (0+l%./%)(/%"+!.'m/*9'.2"\<] τ C 225ρgΩ 2 128π R 2 = 7*(.!2"= 5 (1!+#2+!.'/*9'.2"$%*.?. %/'#!.%+!)32"#2"+!/5 %#%9'.2"#200%*"%+*+$%"+!2"/% $(.!#*)%++$A'!7*%+/("+*"%$A(+%"2"%`.2"!%""%$( )()2!/%!%&% 2*&A%.8\<] K'7*(.!2"L η C φ ηp1 φ M 2.5φM = 7*(.!2" 1%#n )(1!+#2+!.'/%)($-.%K,*"%1!.%++%/%#!+(!))%0%"./%+ Le)% (.!212)*0!7*%/% +(9)%%./%& (1!))2"/("+)%9'.2"%.e )(#20$(#!.'& ("*)(! %0(4!0()%0%+* '%+%)2")( $ 2#'/* %/'#!.%/("+)($(.!%66.("./("+*"#2".%4.%%4$'!0%".()o %.n +2".#()#*)'+(1%#*"%$ '#!+!2"/%%.=[ %+$%#.!1%0%".#%+% %* ++2".#()#*)'%+,$(.! /3% %* +%+.!0'%++* #A(7*%$( (05. %/%+ '7*(.!2"+=%. <6 2 0*)(.!2"/*9'.2".!)!+(".)%+ '+*).(.+/%+$(.!%+<%.<*"(8(".)%+0?0%+#!.5 %+ A'2)2&!7*%+ 7*%#%*4/%+$(.!%+#!.'%+('.'>2 0*)'%+#( (#.'!+.!7*%++2". '+*0'%+/("+)%.(9)%(* ;%+/!>>' %".%+'.($%+/%)(>2 0*)(.!2"+2". ($$%)'%+#!/%++2*+

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50 ;?03(?1 7*%$2* )%0')("&%a("+)%#(+/*)( '(#.!2"/3A8/ (.(.!2"/*)(!.!% %+.$)*+)%".%7*%#%))%/*#)!":% 2*/*0'.(:(2)!" %.%4$)!7*%/2"#)%+$)*+>(!9)%+ '+!+.("#%+0'#("!7*%+,#2*..% 0%'("02!"+($ 5+=H2* +/%#* %A*0!/%)%+. 2!+ 9'.2"+29.!%""%"./%+ '+!+.("#%++%+!.*("./("+)(0?0%&(00%K(1%#/%+ '+*).(.+*" $%*$)*+>(!9)%+$2* )%(*>!))% #()#(! %L *%))%7*%+2!.)("(.* %/*#!0%"..2*+)%+9'.2"+ '$2"/%".(*#!.5 %/%+6=( K%++(!++* #*9%+L>!4'+$( )("2 0% Résistance à la compression (MPa) Echéances (jours) 0&;6> ',-+ %9 6 :-@ AB mélange 3c (320kg CEM I + 80kg Mk) mélange 5 (320kg CEM II + 80kg Mk) mélange 6 (320kg CEM III + 80kg Mk)

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52 ;?03(?1 Un %+.)(1!+#2+!.'($$( %".%/%)($-.%,*"%1!.%++%/%#!+(!))%0%"./%+ n %+.)(1!+#2+!.' ($$( %".%/%)($A(+%)!7*!/%K%(*a+*$% $)(+.!>!(".L,+ %.'&()%,0(K%++(!+%>>%#.*'+ (1%# )( 0?0% %(* %. )%0?0%+*$% $)(+.!>!(". 7*% #%*4 *.!)!+'+ $2* )%+ 9'.2"+L p %+. )( #20$(#!.'/%)3'#A(".!))2"0%+* 'p %+.)(#20$(#!.'0(4!0()%/%)(+*+$%"+!2"/'.% 0!"'% +%)2")%+%++(!+/%)($(.!%%.n%+.)(1!+#2+!.'!".!"+57*%/%)(+*+$%"+!2"%/% "!% $( (05. %%+./'.% 0!"'$( '& %++!2"!"1% +%m ciment %. ρciment +2". %+$%#.!1%0%".)(0(++% %.)(0(++%12)*0!7*%/*#!0%".K!)%"%+./%0?0%$2* )%0'.(:(2)!"L 4%0$)%/%#()#*)(1%#*"/2+(&%/%[/%( η P φ ηl1 φm = ηφm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nb$2* )%>!))% #()#(! %%. nb;$2* )%0'.(:(2)!"2.2"+7*%)(1()%* /%)(1!+#2+!.'!".!"+57*%%+./'$%"/(".%/% )( >2 0% /%+ $(.!#*)%+ #%))%#! # 2!. 7*("/ )( +$A'!#!.' /% )( $(.!#*)% /'# 2!. ( )!..' (.* % %$2.% /%+ '+*).(.+ /% 1!+#2+!.'!".!"+57*% /% $2* /%+ $(.!#*)%+ /% #!0%".+*+$%"/*%+/("+*"%+2)*.!2"/3%(*a+*$% $)(+.!>!(".\=])%+./2"#$2++!9)% /3(1("#% 7*% )%+ 02 $A2)2&!%+ /%+ >!))% + #()#(! %+ %. /%+ #!0%".+ +2". %)(.!1%0%". +%09)(9)%+%" %1("#A%#%..%1()%* /%1!+#2+!.'!".!"+57*%02". %7*%)%+$(.!#*)%+/% >!))% 2".*"%>2 0%$)*+#! #*)(! %7*%#%))%+/*0'.(:(2)!"

53 ;?03(?1 K(L :! " #$% pâtes à base de filler (F/CM= 25 ou 35%) mélange 2 (Mk/CM = 0.13) mélange 3 (Mk/CM = 0.20) mélange 4 (Mk/CM = 0.26) 0 0,000 0,050 0,100 0,150 0,200 '56#7% 0&;@>F': $( 1 238$1'1239 ;9C9@ $ ' 3 -+" %+ 7*(".!.'+ /% #!0%". %. /% +*9+.!.*.!2" /* #!0%". /2!1%".?. % >!4'%+ (* /'$(.! )32" %+$%#.%)%+ %#200("/(.!2"+/%)("2 0%=\6])(+*9+.!.*.!2"/%%./% "%/2!.$(+/'$(++% [%.=[ %+$%#.!1%0%".K)(+*9+.!.*.!2"/%+"3%+.$(+$2++!9)%L '("02!"++!)32"/'+! %*.!)!+% )%0'.(:(2)!"/("+)%+#2"/!.!2"+2$.!0()%+/%/* (9!)!.'!)%+. #2"+%!))'/%+*9+.!.*% =[/%#!0%".$( /*0'.(:(2)!"\] K9L

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