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Page 1: Ovy ]Q C=}YwY F-D Qt =@W=Q} N rwQO} Notesjce.journals.sharif.edu/article_20939_5753209290786f4b... · 2021. 2. 10. · "OwW|t xO}t=v =wy OwQw Vmt Tma w `=@W= C@w]Q OYQO s'Ov=tUB CUOx@|tHLC@w]Q

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otew |D@w]Q C=}YwYN QO l =N wv Q}F-=D

`=@W=Q}e |=yl =N |m}rwQO}y�|QDmO |wHWv=O� |iQW= |ra |O=y

�O=DU=� �wO@ s_�x}twQ= x=oWv=O 'u=Qta |UOvyt w |vi |xOmWv=O

|=y|vLvt '`=@W=Q}e |=yl =N |m}vmDw�S Q=DiQ |v}@V}B |=Q@ syt C=aw[wt R= |m}'Q[=L VywSB QO "CU=yu; `=@W=Q}e |Q}PBPwiv ?}=Q[ u}}aD w |D@ w]Q |xYNWt

'`=@W=Q}e |=yl =N |m}rwQO}y w |D@ w]Q C=}YwYN QO l =N wv Q}F-=D p}rLD Qw_vtx@|xR=Ov= =@ l =N wv xU 'Ca}@] QO OwHwt |UQ w |Dr}U '|}xU=t |=yl =N R= sa=x@ |@=}DUO |=Q@ "OvOW |Q=OQ@xvwtv x}twQ= u=DUQyW |wrR=v |xk]vt R= hrDNt C=QP

|Q=Wi |xLiY x=oDUO l} '`=@W=Q}e |=yl =N |y=oW}=tR; |xYNWt |=y|vLvtu=w pOt wO =@ '|y=oW}=tR; G}=Dv "OW xDN=U w |L=Q] 'Q=Wi pQDvm sDU}U x=Qty x@

G}=Dv p}rLD =@ "OvOW |HvUCLY RETC Q=Ri=sQv QO |Qwm � RmwQ@ w uDNwvoQO ?; CW=Oxov u=R}t 'l =N C=QP uOW QDR} Q =@ xm OW XNWt 'xYNWt |=y|vLvt

|OwQw Vmt R= |QDW}@ Q}O=kt w OQ=O |UwULt V}=Ri= XNWt Vmt <=R= x@ l =NQ}F-=D R= |m =L xm OvyO|t CUOx@ =Q `=@W= C@ w]Q OYQO w Ov=tUB C@ w]Q OYQO '=wy

"CU=yxv=O C=QP |xR=Ov= w Ci=@

h.aliashra�@[email protected]

'`=@W=Q}e |Q}PBPwiv '|D@ w]Q |xYNWt |vLvt 'l =N wv %|O}rm u=oS=w"|Q=Wi |xLiY x=oDUO

xtOkt "1x@ =Q l =N QO OwHwt Vmt Q=Okt 'l =N |D@ w]Q |xYNWt |vLvt [2]"OQmxm CU= xO=O u=Wv |y=oW}=tR; C=ar=]t [3]"OR=U|t \@DQt l =N C@ w]Q OYQOOwHw \=@DQ= `=@W=Q}e l =N |=y|oS} w w l =N |D@ w]Q |xYNWt |vLvt u}@|m}vmDw�S C=}YwYN u} QD|U=U= R= |m} '|D@ w]Q |xYNWt |vLvt [4]"OQ=OVvQm � VvD \@=wQ '|WQ@ Ctw=kt u}tND |=Q@ xm CU= `=@W=Q}e |=yl =NC=aq]= R= xO=iDU= =@ [12�5]"OwW|t xO=iDU= `=@W=Q}e |=yl =N |Q}PBPwiv w\w]N '|vLvt ?}W '|vLvt sQi %p}@k R= '|D@ w]Q |xYNWt |vLvt QO OwHwt=Q `=@W=Q}e l =N |m}vmDw�S Q=DiQ R= |WN@ u=wD|t 'xQ}e w |vLvt Q@ T=ttpt=wa u}= "OvQ=Po|t Q}F-=D l =N � ?; C=}YwYN QO pt=wa "OQm |v}@V}BC@Uv '|tm =QD |x}rw= C@ w]Q OYQO 'l =N |oDUw}B 'l =N Q=DN=U %R= Ov=CQ=@aw sm =QD VwQ 'VvD |xJN} Q=D 'l =N |=y|v=m 'l =N Ci=@ 'l =N wv 'pNrND

[2]"xQ}eC}iQ_ w Vmt Q=Okt QO =yl =N wv Q}F-=D |UQQ@ |=Q@ 'Q[=L VywSB QO|=yl =N |y=oW}=tR; |D@ w]Q |=yxYNWt |vLvt '=yl =N |wQ ?; CW=Oxov|=yxv=O |xR=Ov= w |Q}tN |xv=Wv =@ 'x}twQ= u=DUQyW |xtwL QO wrR=v |xk]vt|D@ w]Q |xYNWt |=y|vLvt |UQQ@ w p}rLD =@ "CU= xOt; CUOx@ Cw=iDt|UQ w |Dr}U '|}xU=t |=yl =N |ak=w Q=DiQ u=wD|t 'V}=tR; OQwt |=yxvwtv

?; K]U xm CU= xOW Ea=@ |Swrw�SwQO}y w |wH \}=QW 'u}tR |xQm Q=DN=UR= |yHwD p@=k j=ta= QO 'u=Q}= QwWm xrtH R= w u=yH \=kv ?re= QO |v}tRQ} RQO =yl =N R= |O=} R sHL xm OwW|t ?@U w[wt u}= "OQ}o Q=Qk u}tR K]Uxmv}= x@ xHwD =@ "OvQ}o Q=Qk `=@W=Q}e Cr=L QO w |v}tRQ} R ?; K]U |q=@ |x}L=v'|L]UQ} R |=y|}=U=vW %p}@k R= 'hrDNt |=yxN=W QO l =N =@ \@DQt C=}rta'OQ}PB|t s=Hv= =yl =N `=@W=Q}e |x}L=v QO |m}vmDw�S p�=Ut w |B |UOvyt'`=@W=Q}e |=yl =N |m}rwQO}y w |D@ w]Q C=}YwYN |wQ VywSB w xar=]t

"CU= |y}O@ w |QwQ[ |Qt=Q=Okt '`=@W=Q}e |=yl =N EL@ QO Q=PoQ}F-=D C=aw[wt u} QD|rY= R= |m}l =N QO =wy OwHw Cra x@ Vmt "CU= l =N QO ?; CW=Oxov C}iQ_ =} VmtQD`=@W=Q}e =@ Vmt "OQ=O Tma |x]@=Q 'l =N C@ w]Q OYQO =@ w OwW|t O=H}=l =N |m}vmDw�S C=}YwYN w =yQDt=Q=B ?re= QO w O@=}|t V}=Ri= l =N uOW|Q}UiD |Q=R@= 1�SWCC� l =N |D@ w]Q |xYNWt |vLvt [1]"CU= Q=PoQF=p}rLD =Q `=@W=Q}e |=yl =N Q=DiQ u=wD|t u; R= xO=iDU= =@ xm CU= |m =QO= w

pw�Ut xOvU} wv �"1396 12 13 VQ}PB '1396 11 15 x}LqY= '1396 7 10 Ci=} QO %M} Q=D

DOI:10.24200/J30.2018.5022.2193

Page 2: Ovy ]Q C=}YwY F-D Qt =@W=Q} N rwQO} Notesjce.journals.sharif.edu/article_20939_5753209290786f4b... · 2021. 2. 10. · "OwW|t xO}t=v =wy OwQw Vmt Tma w `=@W= C@w]Q OYQO s'Ov=tUB CUOx@|tHLC@w]Q

"""w|D@

w]QC=}

YwYNQ

Ol=N

wvQ}F=D

[16]"=yl =N A}D |D@w]Q |xYNWt |vLvt "2 pmW

=Q |oOvwWlWN |vLvt \ki xm |W}=tR; '|oOvwWQD |vLvt |Q}oxR=Ov= =@ \@DQt[15w14]"OwW|t ?wULt |OQ=Ov=DU= V}=tR; 'OyO xH}Dv

Ov=CQ=@a 'l =N |D@ w]Q |xYNWt |vLvt QO |OQ@ Q=m w syt |=yQDt=Q=BQO C@ w]Q OYQO w ��r� 9Ov=tUB C@ w]Q OYQO ' (a) =wy |OwQw Vmt %R=|O@r=m Vmt '11�|@=@L Q=Wi� =wy |OwQw Q=Okt "(�s) 10`=@W= |xHQO u} QDW}@C@ w]Q OYQO w OwW|t l =N |=yxQiL u} QDnQR@ OQ=w =wy 'u; <=R= x@ xm CU=[16]"CU= sRq |O=} R Vmt Q}}eD 'l =N R= u; GwQN |=Q@ xm CU= |D@ w]Q Ov=tUBw =yxU=t pt=W 'QDnQR@ C=QP |xR=Ov= =@ =yl =N |D@ w]Q |xYNWt |vLvt|OwQw Vmt R= |QDtm Q}O=kt '`k=w QO w O@=}|t p=kDv= AJ CtU x@ '=yCr}UxH}Dv =Q `=@W= |xHQO u} QDW}@ QO C@ w]Q OYQO w Ov=tUB C@ w]Q OYQO '=wyQO ?; CW=Oxov ptLD C}iQ_ 'l =N C=QP uOW QDR} Q =@ |rm Qw]x@ [1]"OvyO|t

"O@=}|t V}=Ri= XNWt Vmt <=R= x@ l =N

l =N |D@w]Q |xYNWt |vLvt |=ypOt "3"2'O=} R |xv} Ry w Ckw hQY '|y=oW}=tR; |=y|Q}oxR=Ov= |Q=wWO x@ xHwD =@u=QoWywSB \UwD Vmt p}Uv=DB |wQ R= C@ w]Q u=R}t |v}@V}B |=Q@ |}=ypOt|=yVwQ 13uDNwvo u=w w 12|Qwm � RmwQ@ |=ypOt "CU= xOW x�=Q= |OOaDtw RmwQ@ [5]"OvDUy l =N |D@ w]Q |xYNWt |vLvt uOQw; CUOx@ |=Q@ |QDG}=QO=yvW}B l =N |D@ w]Q CW=Oxov |=Q@ =Q 2 |x]@=Q j@] |}=tv |xrO=at l} '|Qwm

[17]%Ov=xOQmSe = � � �r

�s � �r = (�h)�� (2)

C@ w]Q OYQO �r 'h Vmt QO C@ w]Q OYQO � '`=@W= |xHQO Se 'u; QO xm� "OwW|t xO}t=v =wy OwQw Vmt Tma � w `=@W= C@ w]Q OYQO �s 'Ov=tUBCUOx@ |tHL C@ w]Q OYQO w Vmt |=yxO=O VR=Q@ j} Q] R= xm CU= |@} Q['Vmt |xOwOLt pm QO l =N C@ w]Q |vLvt h}YwD |=Q@ uDNwvo u=w "O};|t

[18]%CU= xOQm O=yvW}B =Q 3 |xrO=atSe = � � �r

�s � �r = [ 11 + (�h)n

]m (3)

K}[wD Q}N= |x]@=Q QO =yQ}eDt Q}=U w OvDUy |@ QHD ?}=Q[ m w n 'u; QO xm"Ov=xOW xO=O

pOt \UwD q=@ |OwQw |=wy |xOW h}YwD Q=Wi =@ |=ylU}O OQmrta "1 pmW[13]"u}wrm |ov}}wt

x@ xHwD =@ =Q |v=Qta |=yxSwQB QO xOW xO=iDU= =} w Ca}@] QO OwHwt `=@W=Q}eu}O@ "OQm p}rLD QDj}kO '=yu; |Q}tN C=}YwYN w =yxv=O |xR=Ov= |xOwOLtCUOx@ |=Q@ 2|Q=Wi |xLiY x=oDUO 'Q[=L |xar=]t s=Hv= |=DU=Q QO Qw_vt"OW xDN=U w |L=Q] 'l =N |y=oW}=tR; |D@ w]Q |=yxYNWt |=y|vLvt uOQw;

`=@W=Q}e |=yl =N QO Vmt "2q=@ |OwQw |=wy Q=Wi =@ |=ylU}O "1"2

l}t=QUTvH R=,qwtatlU}O "Ovm|t pta =wy w ?; u}@ =Wel} Ovv=tylU}Ol} |=Q@ lU}O xmv}= ZLt x@ "CU= xOW xDN=U 3u}rw�=m QDUm =N R= w xOw@OrH |}=v=wD p}rOx@ sy u; 'Ovm Qw@a lU}O R= Ov=wD|tv =wy 'OW `=@W= ?; =@ Q=@|m}t=QU lU}O |}=v=wD [13]"Ovm|t Ctw=kt =wy u=} QH Q@=Q@ QO xm CU= 4|[=@kv="CU= |[=@kv= OrH |wQ |L]U VWm |xH}Dv QO '=wy u=} QH Q@=Q@ QO xr@=kt |=Q@|mJwm |=yxQiL xm Ovm|t pta |mR=v <=We Ovv=t |[=@kv= OrH '1 pmW j@=]thqDN= "Ovm pYDt Qo}Oty x@ |m}t=QU lU}O K]U |wQ QO =Q <=vLv= `=aW =@Vmt u}@t '|[=@kv= OrH Q} R QO ?; Q=Wi w |[=@kv= OrH |q=@ |=wy Q=Wi u}@O=H}= |m}t=QU lU}O K]U QO Ov=wD|t xm '|O@r=m Vmt |xv}W}@ "CU= |O@r=m

"OQ=O s=v 5=wy |OwQw Q=Wi 'OwWOwW|t xO=O u=Wv 6u} wrm |x]@=Q R= xO=iDU= =@ lU}O |=wy |OQwQw Q=Wi

%�1 |x]@=Q�(ua � uw)d = 2Ts

Rs(1)

Ts 'q=@ |OwQw |=wy Q=Wi =@lU}O |OwQw |=wy Q=Wi Q=Okt (ua�uw)d 'u; QO xmTs = 72 75mN=m� =wy � ?; lQDWt pYi =} |[=@kv= OrH |L]U VWmxQiL u} QDnQR@ `=aW =} |[=@kv= OrH |=vLv= `=aW Rs w �200C |=tO QO

"OvDUy

l =N |D@w]Q |xYNWt |vLvt "2"2|xYNWt|vLvt "OyO|tu=Wv =Q =yl =NA}D|D@ w]Q|xYNWt|vLvt '2pmW�|oOvwWQD |vLvt� 7?; ?PH |RQt |=y|vLvt R= pmWDtCU= |}xkrL |D@ w]Q|y=oW}=tR; |=y|Q=wWO Cra x@ "�|oOvwWlWN |vLvt� 8?; `iO |vLvt w

150

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"|Q=Wi |xLiY x=oDUO C=a]k w <=RH= "3 pmW

"xOW xO=iDU= |=yl =N |Ov@xv=O |vLvt "4 pmW

CyH |}=yp}t Tv=QD 'C}=yvQO "CiQo Q=Qk |v=DLD |x_iLt |xLiY pN=O|xLiY x=oDUO <=RH= |t=tD "OvOW xDiQo Q_v QO x=oDUO <=RH= uDUw}B sy x@s=Hv= CyH 'x=oDUO |rY= <=RH= Q@ xwqa "OwW|t xOy=Wt 3 pmW QO |Q=Wix}@aD R}v =wy Q=Wi u}t-=D sDU}U l} 'xOWpQDvm |=wy Q=Wi p=ta= w =yV}=tR;'|Q=Wi |xLiY x=oDUO R=}v OQwt C=a]k s=tD CN=U w |L=Q] R= Oa@ "OWw OW V}=tR; =wy Q=Wi p=ta= =@ ,=QQmt QwmPt x=oDUO '=yV}=tR; s=Hv= R= p@kOW xO=O Q=Qk ?; R= QB p]U QO x=oDUO =yQ=@ '=wy |DWv sOa R= u=v}t]= |=Q@"OWv GQ=N ?; pN=O w uwQ}@ x@ x=oDUO |=yCtUk R= l}I}y R= |@=@L wOQmrta CLY R= =D 'OvOW Q=QmD ,=OOHt V}=tR; Qy s=Hv= R= p@k OQ=wt u}=xOy=Wt |}=wy u=} QH I}y R}v =yV}=tR; pw] QO "OwW pY=L u=v}t]= u;QO |v=} QH I}y xm |]}=QW CU= xDW=O xQ=W= ?r]t u}= x@ R}v 20OvqOQi "OWv|QwLt p=kDv= VwQ CLY Q@ |r}rO 'OyOv MQ |O@r=m Vmt |Q}oxR=Ov= u}L

[13]"CU=

=yVwQ w O=wt "4xO=iDU= OQwt |=yl =N "1"4

l =N "OvOW x}yD wrR=v |xO=H QO `k=w x}twQ= u=DUQyW |xtwL R= l =N |=yxvwtvR= '2 l =N &x}twQ= QyW |xr=@ R uiOt |x]wLt h=Q]= w xO=H 15 QDtwr}m R= '1w xO=H 2 QDtwr}m R= '3 l =N w &xvt=N |RB QH; |xv=NQ=m h=Q]= w xO=H 6 QDtwr}mxOW xO=iDU= |=yl =N C=}YwYN "OvOW x}yD p=iUQP; |RB QH; |xv=NQ=m h=Q]=

"OvwW|t x_Lqt 4 pmW QO =yl =N |Ov@xv=O |vLvt w 1 pwOH QO

`=@W=Q}e |m}rwQO}y C}=Oy |x@U=Lt |@ QHD \@=wQ "4"2|xYNWt |vLvt '`=@W=Q}e |=yl =N |m}rwQO}y C=}YwYN u} QD|OQ@ Q=m|m}vmDw�S p�=Ut R= |Q=}U@ [19]"OvDUy `=@W=Q}e|m}rwQO}yC}=Oy `@=D w|D@ w]Q|=yOU '=y?}W |Q=O}=B %p}@k R= '`=@W=Q}e |=yl =N =@\@DQt |]}LtCU} Rw�S w|Q}PBPwiv uDUv=O OvtR=}v 'Qo}O OQ=wt w '=yxOv}q; p=kDv= '|UQ sm =QDt |=yx}q|m =N

[20]"CU=yl =N `=@W=Q}e|}=QLY =} |y=oW}=tR; |=yVwQ =@ `=@W=Q}e |m}rwQO}y C}=Oy u}}aD|xR=Ov= `} RwD |=v@t Q@ =Q l} Qw�D |=yVwQ 'u=QoWywSB "CU= xv} RyQB w Q}oCkw'xOW s=Hv= |=y|v}@V}B "Ov=xOQm `=O@= |Q}PBPwiv?} Q[ |v}@V}B Qw_vtx@ 'C=QPR= xO=iDU= [13]"OwW|t \@DQt |Q}PBPwiv u}}aD |=Q@ s}kDUtQ}e VwQ x@ ?re=|rw@kp@=k VwQ 'l =N |D@ w]Q |xYNWt |vLvt w `=@W= |Q}PBPwiv ?} Q[|m}rwQO}y C}=Oy [22w21]"CU= `=@W=Q}e l =N |=Q@ |Q}PBPwiv `@=D |v}@V}B |=Q@|vLvt uDW=O =@ w 15srat pOt =} 14u}OQw@ pOt R= xO=iDU= =@ ,qwtat `=@W=Q}eCUOx@ uDNwvo u=w w |Qwm - RmwQ@\@=wQ\UwD xOW |Q}oxR=Ov=|D@ w]Q |xYNWt

[24w23'10]"O};|t`=@W=Q}e |m}rwQO}y C}=Oy 'u}OQw@ pOt =@ |Qwm � RmwQ@ `@=D ?}mQD =@

%O};|t CUOx@ 4 |x]@=Q CQwYx@ �K(Se)�K(Se) = Ks(Se)3+2=� (4)

C}=Oy 'srat C=QP |xR=Ov= `} RwD pOt uDiQo Q_vQO w uDNwvo u=w `@=D ?}mQD =@%OwW|t xDWwv 5 |x]@=Q CQwYx@ `=@W=Q}e |m}rwQO}y

K(Se) = KsS1=2e

h1� (1� S1=m

e )mi2

(5)

K}[wD ,q@k =yQ}eDt Q}=U w xOw@ `=@W= |Q}PBPwiv ?} Q[KS '5 w 4 \@=wQ QO"Ov=xOW xO=O

|Q=Wi |xLiY x=oDUO CN=U w |L=Q] "3VywSB QO =yl =NVmt �|D@ w]Q |xYNWt |=y|vLvt x@ uDi=}CUO Qw_vtx@'|Q=Wi |xLiYx=oDUO "OW xDN=U w|L=Q]|Q=Wi |xLiYx=oDUOl} 'Q[=Lj} Q] R= =Q |O@r=m Vmt ,=t}kDUt |va} &Ovm|t Q=m 16|QwLt p=kDv= VwQ |=v@t Q@w[wt u}= w OQ=Ov |}q=@ |ivt Q=Okt '?; Q=Wi "Ovm|t pQDvm =wy Q=Wi V}=Ri=

|=Q@ ,qwtat |Q=Wi |xLiY x=oDUO [25]"Ovm|t |Q}owrH ?; QO 17|R=UxQiL R=[13]"OwW|t xO=iDU= 200kPa =D |O@r=m |=yVmt

|v=kwi VwB QU w |v=DLD |x_iLt 'QOvr}U %pt=W '|Q=Wi |xLiY x=oDUOCt=N[ '11 3 cm |rN=O Q]k x@ QOvr}U "OvDUy ?; O[ p}DU= TvH R= xty|r=ta= |=wy uOQm Tw@Lt |xi}_w xm OW xO=O V=QD 11 cm `=iDQ= w '0 6 cm|m}DUq |=yQW=w 'R}v u; u}}=B w q=@ QO QOvr}U |xQ=OH QO "OQ=O =Q xvwtv |wQq=@ C=LiY x@ ?U=vt |Q=Wi =@ QOvr}U =D OvOW x}@aD 2 5mm Ct=N[ x@=Q =wy Q=Wi 'u; |wQ xOW x}@aD xOvvmpYDt =@ q=@ |xLiY "OwW CiJ u}}=B wCtUk wO R= pmWDt OwN xm u}}=B |xLiY "Ovm|t C}=Oy QOvr}U pN=O x@OvOW pik Qo}Oty x@ |m}DUq |xkrL l} =@ h=Q]= QO |}=yI}B \UwD 'CU=18pNrNDt |m}t=QU |xLiY "OW=@ xDW=Ov OwHw x=oDUO R= =wy GwQN u=mt= =DQO ,qt=m w OW x}yD =O=v=m QwWm R= 19QJDU} wt p} wU CmQW R= Q=@ 2 C}iQ_ =@

151

Page 4: Ovy ]Q C=}YwY F-D Qt =@W=Q} N rwQO} Notesjce.journals.sharif.edu/article_20939_5753209290786f4b... · 2021. 2. 10. · "OwW|t xO}t=v =wy OwQw Vmt Tma w `=@W= C@w]Q OYQO s'Ov=tUB CUOx@|tHLC@w]Q

"""w|D@

w]QC=}

YwYNQ

Ol=N

wvQ}F=D"xar=]t OQwt |=yl =N |m}vmDw�S C=}YwYN "1 pwOH

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"O@=}|t Vy=m 2 84� 10�13 m=s x@ 'uDNwvo u=w w sratQDxv=OR} Q |=yl =N Q}=U x@ C@Uv 1 l =N QO |Q}PBPwiv ?} Q[ Vy=m COWO}OW |Q}PBPwiv C=Q}}eD '`=@W=Q}e |xU=t |w=L j]=vt QO 'u}=Q@=v@ "CU= QDW}@xOy=Wt G}=Dv x@ xHwD =@ u}=Q@=v@ "CiQo Q_v QO O}=@ u}}=B Vmt |xOwOLt QO =Q|w=L |=yu}tR QO |m}vmDw�S C=ar=]t w p�=Ut QO '10 w 9 |=ypmW QO xOWQ=Okt O}OW Q}}eD O}=@ 'u}}=B |v}tRQ} R ?; jta =@ |Dr}U w |}xU=t |=yl =NQO w CiQo Q_v QO xv=OR} Q |=yl =N x@ C@Uv =Q `=@W=Q}e |=yx}q QO ?; u=} QH

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=yCWwv=B1. soil water characteristic curve (SWCC)

2. pressure plate apparatus3. sintered kaolin4. contractile skin5. air-entry value

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�References� `@=vt1. Miller, C.J., Yesiller, N., Yaldo, K. and et al. \Impact of

soil type and compaction conditions on soil water charac-teristic", Journal of Geotechnical and GeoenvironmentalEngineering, ASCE, 128(9), pp. 733-742 (2002).

2. Vanapalli, S.K., Fredlund, D.G. and Pufahl, D.E. \Rela-tionship between soil-water characteristic curves and theas-compacted water content versus soil suction for a claytill", 11th Pan American Conference on Soil Mechanicsand Geotechnical Engineering (1999).

3. Williams, P.J. \The surface of the earth, an introduc-tion to geotechnical science", Longman Inc., New York(1982).

4. Fredlund, D.G. and Rahardjo, H. \An overview of unsat-urated soil behavior", Proceedings ASCE Specialty Serieson Unsaturated Soil Properties, Dallas, TX., pp. 1-33(Oct. 24-28, 1993b).

5. Abdul, A., Nishigaki, M., Chegbeleh, L. and et al. \De-termination of soil-water characteristic curves of unsat-urated sandy soils using membrane �lter with stainlesswire mesh", Journal of the Faculty of Environmental Sci-ence and Technology, Okayama University, 14(1), pp. 13-16 (2009).

6. Barbour, S.L. \the soil-water characteristic curve: A his-torical perspective", 9th Canadian Geotechnical Collo-quium, Canadian Geotechnical Journal, 35(5), pp. 873-894 (1998).

7. Assouline, S. \Modelling the relationship between soilbulk density and the water retention curve", VadoseZone Journal, 5(2), pp. 554-562 (2006).

8. Wheeler, S.J. \Inclusion of speci�c water volume withinan elastoplastic model for unsaturated soil", CanadianGeotechnical Journal, 33(1), pp. 42-57 (1996).

9. Fredlund, D.G., Xing, A., Fredlund, M.D. and et al. \Re-lationship of the shear strength of unsaturated soil to thesoil-water characteristic curve", Canadian GeotechnicalJournal, 33(3), pp. 440-448 (1996).

10. Mualem, Y. \A new model for predicting the hydraulicconductivity of unsaturated porous media", Water Re-sources Research, 12(3), pp. 513-522 (1976).

11. Heshmati, A.A. and Motahari, M.R. \Modeling the de-pendency of suction stress characteristic curve on voidratio in unsaturated soils", KSCE Journal of Civil En-gineering, 19(1), pp. 91-97 (2015).

12. Smith, G.N. and Smith Ian, G.N. \Elements of soilmechanics", Blackwell Science, 7th Edn., pp. 417-419(1998).

13. Fredlund, D.G. and Rahardjo, H. \Soil mechanics forunsaturated soils", John Wiley and Sons, USA (1993).

14. Hillel, D. \Applications of soil physics", Academic Press,San Diego, California (1980).

15. Tinjum, J.M., Benson, C.H. and Blotz, L.R. \Soil-watercharacteristic curves for compacted clays", J. Geotech.Geoenviron. Eng., 123(11), pp. 1060-1069 (1997).

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26. ASTM D 698-07 e1., Standard Test Methods for Labora-tory Compaction Characteristics of Soil Using standardE�ort (12 400 ft-Ibf/ft3 (600 kN-m/m3)), Annual Bookof ASTM Standards, Section 4, 04.08, Soil and Rock (1),ASTM, West Conshohocken, PA.

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