Index of /rozprawy2/10366

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(19) !"#"$%& '( )*%+$"% ,-%*. "%/%#*$0*$%. !. "#$%&'( )*+ ,-./0'&1 2#(-'$% -32&42./5 6.742'8 9:. k0 < 1 ;.<= $>?'0.1# ;@A9< $'/-'/.>85 $(B.9&5(. 2 $14C5' 4 C4>7D1(42#0 $1EF'&5% C0 GHIJ). C1′ ;-#$%&'( )*><) K4 4>?B497'&5% $14C% 94 1'0C'-.1%-# Tk $1EF'&5' 9405'$7(5 2 6.75' $1.B'8 @E975' -32&' Cs = C0 ) L975.B# C4$7>7'/3:&#>? 6.7 2 7.:'F&4M>5 49 1'0C'-.1%-# (-#$1.:57.>85 04F'0# 4@:5>7#N &. C49$1.25' @5:.&$% 0.$# $(B.9&5(. -47C%$7>74&'/4+ Cs fs + Cc (1 − fs ) = C0 ,. ; )H<. /975' fs 8'$1 %B.0(5'0 6.7# $1.B'8) O1EF'&5' Cs 9405'$7(5 6.75' $1.B'8 7.:'F# 49 %975.B% 1'8 6.7# 5 04F' @#N 2#7&.>74&' 7' 274-%+. Cs =. k0 C 0 1 − fs (k0 −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l 0. $(B.9 k0 C0 ;-#$%&'( )R<) S405'$7(. 2#C>?&5E1. C-7'9 6-4&1 (-#$1.:57.>85 2 2#&5(% (4&2'(>85 -47C-42.97.&. 8'$1 C4 >.B'8 6.75' >5'(B'8) O(B.9 >.B'8 6.7# >5'(B'8 705'&5. $5E 7/49&5' 7 :5&. :5(259%$) T-.( 9#6%785 9405'$7(5 2 6.75' $1.B'8 C4249%8'= F' (4:'8&' C4->8' 6.7# $1.B'8 C4$5.9.8D 25E($7' $1EF'&5' 9405'$7(5) U9# 6-4&1 (-#$1.:57.>85 4$5D/&5' 1'0C'-.1%-E T1 = 6.7. $1.B. 4 $(B.975' C1 (-#$1.:57%8' 7 >5'>7# 4 $(B.975' C1′ ;-#$%&'( )R><) O1EF'&5' 9405'$7(5 2 6.75' $1.B'8 &. 6-4&>5' (-#$1.:57.>85 2 6%&(>85 %B.0(. 6.7# $1.B'8 4C5$%8' -32&.&5' O?'5:. 2 C4$1.>5+.

(20) !"#"$%& '( )*%+$"% ,-%*. "%/%#*$0*$%. !. "#$%&'( )*+ ,-./0'&1 2#(-'$% -32&42./5 6.742'8 9:. k0 < 1 ;.<= $>?'0.1# ;@A9< $'/-'/.>85 $(B.9&5(. 2 $14C5' 4 C4>7D1(42#0 $1EF'&5% C0 GHIJ. Cs = k0 C0 (1 − fs )k0 −1 .. ; )K<. L27/:E9&5.8D> 2 -32&.&5% )K= F' k0 Cc = Cs $1EF'&5' 9405'$7(5 2 6.75' >5'(B'8 04F&. 2#-.75M 2 C4$1.>5+. Cc = C0 (1 − fs )k0 −1 .. ; )*<. N-'9&5' $1EF'&5' $(B.9&5(. 2 6.75' α 04F&. 2#7&.>7#M >.B(%8D> -32&.&5' )K 2 /-.&5A >.>? 49 0 94 fs 5 C4975':5M 41-7#0.&' 2#-.F'&5' C-7'7 fs +. i C0 h k0 Cs = 1 − (1 − fs ) . fs. ; )O<. P:. 9.&'8 1'0C'-.1%-# $1EF'&5' 9405'$7(5 2 6.75' $1.B'8 Cs 4(-'Q:4&' 8'$1 :5&5D $4:59%$=.

(21) !"#"$%& '( )*%+$"% ,-%*. "%/%#*$0*$%. !. " #$%&'(% )*+,%'(% C s -.$/%$01"'" 2('(" '" $0)3'43 56"7 8%)* 9'(%8)/% :& Cs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k0 5 R4$%) *$/%?( ?J"$"4*%$0/38% )(+ '(%3)*"2:'09( 1"$3'4"9( &0=3/8(5 ;*+,%'(% &:9(%)/4( 1% 1)/0)*4(?J .3'4*"?J ?(%?/0 8%)* =3'4?8O ?/")35 R4$%) *%' :&.:1("&" 4$0)*"2(/"?8( 4:S?:1%8 ?/+#?( :&2%135 T$:?%) 4$0)*"2(/"?8( 4(%$3'4:1%8 :&2%13 @%/ 4:'1%4?08'%A: 9(%)/"'(" 4O.(%2( 1 /"2%,':#?( :& ?J"$"4*%$0 &0=3/8( )4>"&'(4D1 9:,%90 .:&/(%2(N '" *$/0 :4$%)0 -$0)3'%4 5U75 I .(%$1)/09 :4$%)(% .(%$1)/" .:$?8" ="/0 )*">%8 .:)("&" )4>"& k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k0 5 R& *%A: 9:9%'*3 4:2%8'% 1"$)*10 ="/0 )*">%8 4$0)*"2(/38O /% )4>"&%9 C0 :&.:1("&"8O?09 #$%&'(%93 )4>"&:1( )*:.35 I &$3A(9 :4$%)(% 4$0)*"2(/"?8( 4$/%.'(+?(" :&@01" )(+ 1 )*"'(% )*"?8:'"$'09 1.

(22) !"#"$%& '( )*%+$"% ,-%*. "%/%#*$0*$%. !. "#$%&'( )*+, -./#0' $'1.'12345 $(627&5(2 0 89$/3/'1:;&#3< 9(.'$23< (.#$=2;5/2345 (5'.%&(90'4 97;'0% > ?@* (=:.#A $=BC'&5' 79A5'$/(5 0 D2/5' 35'(6'4 4'$= $=26' 8./'7 .9$&E3#A5 (.#$/=262A5* -./#02 .9/(627% 79A5'$/(5 0 02.$=05' 1.2&53/&'4 9 76%19F35 xl 0#/&23/2&2 4'$= 0 982.35% 9 .9/05E/2&5' .:C&53/(90'19 .:0&2&52 =.2&$89.=% A2$#* G=BC'&5' 79A5'$/(5 .9/8%$/3H /9&'4 0 D2/5' 35'(6'4I 7;2 /&2&'4 $/#J(9F35 8./'A5'$/3/2&52 $5B D.9&=% (.#$=2;5/2345 vl I A9C&2 0#/&23/#K / /2;'C&9F35 >L@,. Cl = C0. . vl 1 − k0 exp − xl , 1+ k0 DL. M)*LN. 2 0 D2/5' $=26'4,. Cs = C0. . . vl xl 1 − (1 − k0 ) exp − DL. . .. M)*ON. P.2&53/&2 02.$=02 7#D%/#4&2 4'$= D%&(34E 8.B7(9FK (.#$=2;5/2345* Q;2 0/.2$=24E3'4 8.B7(9F35 (.#$=2;5/2345 02.$=02 7#D%/#4&2 4'$= 39.2/ 0BC$/2* R(.'$ 7.%15 8./'J5'12 79 A9A'&=% 17# 02.$=02 35'3/# 8./'7 .9$&E3#A5 (.#$/=262A5 1.%J$/2 4'$= 97 1.2&53/&'4 02.$=0# 7#D%/#4&'4* S A9A'&35' 17# 0#A52.# 9J% 02.$=0 $E 89.:0&'I 79A5'$/(2 A5A9 4'7#&5' 7#D%/#4&'19 .9/8.9027/2&52 /A5'&52 $(627 326'4 D2/# 35'(6'4 39 978905272 =./'35'A% 9(.'$905* Q2;'4 89$=B8%4E3# 8.93'$ (.#$=2;5/2345I 89097%4' 0/J91232&5' 9$H =2=&53< 89.345 35'3/# 0 79A5'$/(B /&23/&5' 890#C'4 C0 /k0 I 2 9$=2=&5' 89.34' (.#$/=26:0 (.#$=2;5/%4E / /202.=9F35E 79A5'$/(5 /&23/&5' 8./'(.23/24E3E C0 * T5'79A52. 79A5'$/(5 0 (.#$/=2623< 890$=24E3#3< 8./'7 %$=2;'&5'A $5B $=2&% $=2349&2.&'19 .:0&# 4'$= &27H A52.905 0#$=B8%4E3'A% 0 (.#$/=2623< (./'8&E3#3< 0 (9U390#A 9(.'$5' 8./'4F3590#A* V59&5'.$(E 8.23E 79=#3/E3E 985$% $'1.'12345 85'.052$=(:0 0 $=985' J#62 8.232 W.97#'19 5 X;'A5&1$2 >) @* R8.23902&# 8./'/ J2723/# A97'; A2='A2=#3/&# .9/8.9027/2&52 79A5'$/(5 0 $=985' /2(62726I C' 0 D2/5' 35'(6'4 &2$=B8%4' .:0&9A5'.&' .9/8.9027/2&5' 79A5'$/(5I &2=9A52$= 0 D2/5' $=26'4 79A5'$/(2 .9/8.9027/2&2 4'$= &2 7.97/' 7#D%/45 0$='3/&'4* G=BC'&5' 0 D2/5' 35'(6'4 985$%4' .:0&2&5' >) @, (k−1). Cc = C0 [1 − (1 − 2k0 α) fs ] (1−2αko ) ,. M)*YN.

(23) !"#"$%& '( )*%+$"% ,-%*. "%/%#*$0*$%. !. "#$%& α '&() *+,+-&),&- .*%(/'012- #23/$'4 5()&1$60 5 3+$%& ()+7&'8. α=. Ds tf . (0, 5λs )2. 9!:!;<. 2. Ds = 5(*>71$266%? #23/$'% 5 3+$%& ()+7&' [ cms ]@ tf = A.?+A62 1$+( ?,$&*6%41%+ [s]@ λs = #7/".BC #&6#,2)>5 [cm]: DE+,+?)&, ,.$?7+#/ ()4F&6%+ #.-%&($?% -%4#$2 3+$2 ()+70 % 1%&?70 *,$&G%&"+ '+? 5 ?,2()+A%$+1'% $ ?.65&?12'62- ,.$*,.5+#$+6%&- #.-%&($?% 5 1%&1$2 9,2(/6&? !:H1<: I ,>56+6%/ )2- #A+ fs > 0, 9 ()4F&6%& 5 3+$%& 1%&?7&' 6%& #0F2 #. 6%&(?.J1$.6.BC '+? ). -+ -%&'(1& 5 -.#&A/ KE&%A+ !:H@ )2A?. .(%0"+ *&560 (?.J1$.60 5+,).BC: L.-%'+'01 #23/$'& 5 3+$%& ()+7&' α → 0 @ ). ,>56+6%& !:M (*,.5+#$+ (%4 #. ,>56+6%+ KE&%A+: L,$2 G+,#$. ($2G?%&' #23/$'% #.-%&($?% 5 3+$%& ()+7&' α → ∞: K)0# 5 *,+12 N !O $+*,.*.6.5+6. $-%+64 5(*>71$266%?+ #23/$2'62 α $+()4*/'01 57+(62- *+,+-&),&- Ω 52,+F.62- 5 *.()+1%8. . . 1 Ω = α 1 − exp − α. . 1 1 − exp − . 2 2α. 9!:!!<. PA+ α → ∞ .),$2-/'&-2Ω = 1/2 5>51$+( #23/$'+ 5 3+$%& ()+7&' 6%& 52()4*/'& + ,>56+6%& !:M (*,.5+#$+ (%4 #. ,>56+6%+ 5 ()+6%& ,>56.5+".52-: P7/".BC #&6#,2)>5 λs 5 ,>56+6%/ !:M $+A&F2 .# A.?+A6&' ($2G?.B1% 1E7.#$&6%+ ().*/. CR % -.F& G2C 52,+F.6+ 5 *.()+1% N!MO8. dla 0 < [%C] ≤ 0, 15 λs = (169, 1 − 720, 9C0 ) CR−0,4935 (0,5501−1,996C0 ) dla [%C] > 0, 15 λs = 143, 9CR−0,3616 C0. 9!:! <. Q.$?A+* #.-%&($?% 6+ 3,.61%& ?,2()+A%$+1'% ,.$*+),25+62 '&() $52?A& #A+ 5+,/6?>5 52%#&+A%$.5+621E % #A+ *,.()21E ().*>5 '+?%- '&() ,.$)5>, ()+72: L,$2 +6+A%$%& (&",&= "+1'% #.-%&($?% *,$2'-/'& (%4 /*,.($1$&6%+ NRO8. ◦ ,.$)5>, ()+72 -+ .*+#+'01& A%6%& A%?5%#/( % (.A%#/( $& 5$,.()&- %A.B1% #.-%&($?% 9k0 = 1)@ ◦ *.5%&,$1E6%+ ,.$#$%+7/ 3+$8 1%&1$ = 1%+7. ()+7& '&() *7+(?%&@ ◦ (?+A# 1%&1$2 5 #.5.A62- *,$&?,.'/@ ,>56.A&"72- #. *.5%&,$1E6% ,.$#$%+7/ '&() ()+72@ ◦ #23/$'+ #.-%&($?% 5 3+$%& ()+7&' '&() *.-%'+A6%& -+7+ 5 ().(/6?/ #. #23/$'% 5 ()+6%& 1%&?72-@ ◦ 5 1%&1$2 6%& 52()4*/'& '&' -%&($+6%&@ + ,/1E #.-%&($?% 5 1%&1$2 -.F& (%4 .#G25+C '&#26%& #,."+ #23/$'%:.

(24) 0, 6÷1, 2 [mm/m].

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