-
7/26/2019 Fluid & Solid
1/3
!"#$%&'
Fluid & Solid : Differences
By: Majid Boroumandzadeh
()*+(!,-!.(/0*1(23(45(!,160(787*1(239:;0?(@%
*%60(7-!.(/0
A(B6C84&.:>D%E6C01F)6!G0H=?%D;95?("@%#&"'(/)A$BC>@D"A$50=E=(">F";G5.HI,B0J06,K050B51L1F-06;.(R85/B680",
S"T1O=E)A$B/)&GK6E=,"8)>ES"T1O"8B0=,
5B6T=EK6E=,D01E0B6U1,1,"8B0=,D?;
.(680G55V4?>E.(W:+51&9X'+?F56I,680G5=Y1F?&50.(='#8"Z&9G5/?F0.([#@1T
D"A$50\(505/?&GK6E=,/0G5?>#&"8B0=,5B/5=E?F56U. .
.
56FG5 "T=E]E/GB9.'856FD?>'2D6>E5B5?89"ZE
?&5R,9^6$K6E^6$G5MG5K/1QG5B/00"A25.F56U"ZE?81N>,D9B"A_Q=,)A$B6Y?80
=&/`5/680aEB?&5 ]T
]A*#O6Qb0 ",R_Q]#>Y]I$1FB0Rc#&=,KB"Y=E
M5^G5?&5=E?8"d&"8B0=,M5^G"$D"#F"(^=>#$]_E
M,(N:OeB",B0 f":#3Ac(='&9G5WdL6$g$")c@/"_T0B6(B0 5B.d*P(
-)#>Ehi,!",b5
)#8":&.(B/1(?("@)c@",b"#$.
=,
)#F56U
.(
D9
B0
=E
R$5
^1+=,=l("@B0M"+B6q=,
G"Q/r8"( ",=c8"3( B0.46'46(]#,.NA$6#O -D9B0)b"#$(^"sAE17 /
K06,1A86L.&"$6&
R#q"U]85=Z#A&B0=E?>;",.'Y6E^"s;tu4B6q=,"s>T)FB">EB0"s46'46(1;B0-v85
m51p5 v#i( W'; =, /?>F0 .:& W';1##uT .E?&5
D"(GB0/B"H2/ "(0 R,"w)m1x(.:& B0
?>89.W';]85 D";.46'46(5By]#,1A:E.NA$6#OR*+=,!"#$ B0
-5?("@mnU1,
.(^/BR,"w B"H2/ "(0 B0.&9B6q =, -?&1#Q.( B51LD9 B0
=E.21x =,Rdc&^18VO
?F0."Z>85B0)8G501k,%#&"'()*+K"N&G5?("@/b"#$a81lT=,r@5Bhi,=,)#F56U.(.)*+B0
-
7/26/2019 Fluid & Solid
2/3
R$5?("@"8b"#$.P#i(='>85-R$5"s&9W(56+/z1iT/%81iT-RE17)*+=E%#&"'(
//1#&X>@G5f!6:l(=E%81iT.@B"UW("+=,"(1Y)(t",)#3Ac(|"dTB5
{&1E)(g)c@
B0
^0/?i(
W';
1##uT
/
?;",
=A;50)
^0"(
v#i((
=E
^5
=&6Q
=,
?F0
^/B%81iTW("+mV7G5?l,).;1,{>T(,.*dLR4"7=,?&56A,)c@01QG"v#i(%8"(v#i(0
?("@ fn("E)b9
K?85%#A$!5?("@(06;.(K?&56U).>l8%#A$!5B"A2B1,)E"7!0"l( ",
)(gt
f=({&1E}1&",{&1E1,K/n+.;1,{>Tb":+51w5B0K0"(B0W';1##uT1Q5"(5)(g
?;",=A;50|"dTB5)F1,">,R4"7]85B00B50%#A$nO6A$!5^B"A2B"(^0"(v#i("8K0"(]85
%81iT.@B"UW("+mV7",=#4/5W';1##uTG5.A:cLR$5]':(='>85",).;1,{>Tt(
1##uTB6q=,.;1,{>T1#w"TRiTv#i(B0=#4/5W';1##uTG5.A:cL]'#406;D51d@
';A2"8
W/
0B50
?("@
=:#>~
b"#$
=:#&
^B"A2B-
1T/06;=Tb":+5.p B00/?i("&
"8%#A$nOB"A2BR4"7]85B0/)#("&.(.>T6#&b"#$ 5B1l8)(gt
f=(
OK?;b":+5{>T=,Rdc&=l4"P(0B6(v#i(='>85=,=Ac,06;.(=T=,=l4"P(0B6(v#i(g$"O0
/^18VO"&)E51TBulk Module of Elastisity0B50b"d&0=,5B.
=6C)OP7:
.(K?&56U%#&"'(B0-.P#i("8)c@B0R4"7/0]85]#,B"A2B"8?("@-b"#$D56>+=,=j&9
Y.*(56+=,f"3#L0-06;W';1##uT-.;1,{>T"8//1#&.@B"UW("+%81iTKG5?&5/D5t#(D6
0B50.NAc,W';1##uT]85.&"(G"3AH(/W';1##uT^51,MG!D"(G?(/.b"o(D56>+=,
%8?>&"(B5680=,='$D?#dcY B0R$5 K?;
K?#4"(.'d$='$RHO=,=EX81Q^B5?3(
?("@)c@)?("@K0"((A2B8B?T=,='$=E06;.(=YB0).;1,X>T(1,0"8G
R;50?F56I&06@/S9[P$B0{>T]85r8G6T^51,MG!D"(G-%Y6EB"#c,D"(GB0S9[P$
^B"A2BS9[P$
/=E^1w5",.T/"_T)A$BD?,1,D91w5/K050D"H&06UG5?("@)c@D6j:F
R;50?F56I&?>E.(0B5/)A$BD?,=,K6E.?#>#d,t#&S9m1x%8",?#&56T.(5B1w5]85.1Q5
-
7/26/2019 Fluid & Solid
3/3
.A4"7",?#>E.(%"c7506UR$0B0=E^1w5?#&t,S9[P$=,r81$/)'i(5B06UR$0
5BD"AA$0=ER;50?F56U/"_T?#&G.(S9[P$=,.(5B9=,.^6F"(1+=,.:c@a81lTd$=E=j&9/?&B5?&.T/"_T
^51,
MG!
D"(G
?(
/
W';
1##uT
-
.;1,
{>T
"8
/
/1#&
.@B"U
W("+
%81iT
KG5?&5
/
D5t#(H(/W';1##uT0B50.NAc,W';1##uT]85.&"(G"3A.)E"7v,5/B/!0"l(1N80B"d+=,
"( =E .8"s$"#3( =, =Ac,]'#4 -?>AcFR,"w^0"(^"Fv#i(^51,.46q5
/.*E B6p =,
._*AI(^"s*';v,5/B]85)8G501O.(K0"("8v#i(%8B"A2B"8&56U=l4"P(=,"s&9%"$51,
&1#Q.(06U=,?.^"3,!0"l(G5/01F=EXE6A$518/"&!0"l(
"8=A#c#A$!5!0"l( fno(
^51,^1N80/?;K050"1;!",B0=E^B"A2B",?("@v#i(^51,.'8-?&6;.(Wq"7M6A>:(
0B5001,B"Eb"#$^0"(v#i(.
=&6Qb"#$B"A2BG5.+6>A(^"s4"o(=E06;KB";5
R$5MG!"sA&5B0@.(?("@1(:
]1[%#(">80/B?#FK"NH8"(G9=c*@]#(/0
***Q"R0J/!.1FI/$%FS.E()T,%O.(0U)VU)1W(.FXY()Z&[.
***6@()J0VU)1F460E%>E(7%
