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7/23/2019 Software Phase 2
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Facultad de Ingeniería Geológica,
Minera y metalúrgica
Página 1
2015-I
INFORME N°3
ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓN
USANDO PHASE2
Curso: Mecánica de Rocas Ii
Profesor: Ing. VALENCIA CHAVEZ ELVIS WILLIAM
Sección: R
ApellidoPaterno
ApellidoMaterno
Nombres Especialidad Código Firma
Deudor Benavente Hugo
Rodrigo G3 20124129J
Fecha de
presentación: 06/10/2015
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
CONTENIDO
RESUMEN........................................................................................................................2
OBJETIVOS......................................................................................................................3
MARCO TEORICO..........................................................................................................4
PROCEDIMIENTO Y RESULTADOS.............................................................................7CONCLUSIONES...........................................................................................................23
BIBLIOGRAFÍA............................................................................................................24
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
RESUMEN
En el pe!en"e #n$%&e !e 'e!(%ll() el (n)l#!#! 'e l%! e!$*e+%! #n'*,#'%! (le'e'% 'ee-,((,#%ne! !*/"e)ne(! ,#,*l(e! *!(n'% el !%$"0(e P1(!e 2 !e *!() l( (pl#,(,#nen l( e!#n .5. P(( ell% "%&(e&%! *n e6e&pl% ,%n '("%! e(le! p%p%,#%n('%! *!('%! en el #n$%&e pe#%.
Se p%n') 8n$(!#! en l%! '#$een"e! '#(9(&(! :*e !e p*e'en e(l#+( p(( e el,%&p%"(&#en"% 'e l( %,( (n"e l%! e!$*e+%! #n'*,#'%!.
L%! '("%! *!('%! p(( el e6e&pl% $*e%n %/"en#'%! &e'#(n"e el !%$"0(e M#,%!%$"E-,el 25;3 ,%n *n $#n e-pl#,("#% (!< "(&/#8n el p%,e'#&#en"% p(( e(l#+( l%!'#(9(&(! (n"e! 'e!,#"%!.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
OBJETIVOS
OBJETIVO GENERAL
• Analia! " #$ilia! %l &'($)a!% P*a&%2 +a!a +!%,%-i! l'& %&(#%!'&in,#-i,'&.
•
O/&%!0a! la ,i&$!i/#-in ,% l'& %&(#%!'& in,#-i,'& al!%,%,'! ,%#na %-a0a-in -i!-#la!.
• P!%,%-i! %l -'+'!$ai%n$' ,% n#%&$!a %-a0a-in a %,i,a ,%l!a,i' ,% %&$#,i'.
OBJETIVOS ESPECIFICOS
• A+!%n,%! a g!a4-a! la ,i&+'&i-in ,% %&(#%!'& in,#-i,'& -'n %l&'($)a!% P*a&%2
• A+!%n,%! a analia! %l (a-$'! ,% &%g#!i,a, -'n %l &'($)a!%P*a&%2
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
MARCO TEORICO
Esfuerzos inducidos or !" e#c"$"ci%n su&'err(ne"
Al (/#!e *n %#$#,#% en el !*/!*el% p% *n( e-,((,#n !*/"e)ne( l%! &("e#(le! :*e
(n"e#%&en"e e!"(/(n ,%n$#n('%! !e en 'e p%n"% l#/e('%! !#9*#en'% "(e,"%#(!
,%ne9en"e! 1(,#( el ,en"%#'e 'el )e( "(!e!(l 'e l( +%n( e-,(('( =S+8,1 ;>75?
#&p*l!('%! p% el e!"('% #n#,#(l 'e e!$*e+%! :*e l%! %'e(.
P% l( 9e%&e"<( ,%ne9en"e 'el &%#&#en"% 9ene('% el "e,1% 'e l( e-,((,#n "("(
'e 'e$#n# *n &e,(n#!&% n("*(l 'e e!"(/#l#'(' el ,*(l !e (!e&e6( ( l( ,%n$#9*(,#n 'e
*n (,% =Bell% ;>77? =C1*nl#n 255@? e!pe,#(l&en"e ,*(n'% l( &(!( %,%!( e!
*n#$%&e e!"% e! ,*(n'% "#ene el &#!&% n&e% 'e $#!*(! $(,"*(! p% *n#'(' 'e
%l*&en.
L( e'#!"#/*,#n 'e l%! e!$*e+%! p#n,#p(le! p*e'e pe'e,#!e ,%n l( (pl#,(,#n 'e l(
"e%<( 'e l( el(!"#,#'(' (le'e'% 'e *n( (/e"*( $%&('( en *n !l#'% !*6e"% ( l( (,,#n
'e *n ,(&p% 'e e!$*e+%! *n#'#e,,#%n(le!. En e!"e n*e% ,(&p% 'e e!$*e+%! l( %,(
en !* e!"('% p(,#(l&en"e 'e!,%n$#n('( e! #n,(p(+ 'e e!#!"# el #n,e&en"% 'e
e!$*e+%! 9ene('%! p% l( e-,((,#n. E!"%! e!$*e+%! !%n l%! 'e #n"e8! p(( el '#!e%
'e ele&en"%! 'e !%p%"e.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
P(( el '#!e% 'e *n( e-,((,#n !*/"e)ne( l%! &8"%'%! :*e e-#!"en en l( l#"e("*(
"8,n#,( ,%n'*,en ( 'e"e&#n( el (l% 'e *n( pe!#n p(( !e (pl#,('( (l !#!"e&( 'e
!%p%"e :*e 'e/e !e *"#l#+('%.
U'i!iz"ci%n de! P)"se*
P1(!e 2 e! *n p%'e%!% p%9(&( 2D p(( (n)l#!#! 'e ele&en"%! $#n#"%! (n)l#!#! 'e
e!"8! p(( e-,((,#%ne! !*/"e)ne%! % 'e !*pe$#,#e en %,( % !*el%. El !%$"0(e p*e'e
!e *"#l#+('% p(( *n( (&pl#( 9(&( 'e p%e,"%! 'e #n9en#e<( '#!e% e #n,l*e
!%p%"e ( l( e!"(/#l#'(' 'e "(l*'e! #n$#l"(,#n 'e (9*(! !*/"e)ne(! (n)l#!#!
p%/(/#l<!"#,%.
P1(!e 2 p*e'e !e *"#l#+('% p(( &%'el( l( e-,((,#n 'e *n( &#n( ( ,#el% (/#e"%. El
&%'el% p*e'e !e e-,(('% en e"(p(! p*e'e #n,l*# $(ll(! !*/e"#,(le! :*e
#n"e,ep"(n el "een%.
M%'el%! ,%&ple6%! % 'e &*l"#e-,((,#n p*e'en !e $),#l&en"e ,e('%! )p#'(&en"e
(n(l#+('%! "nele! en %,( '8/#l % ("#,*l('( ,(en(! !*/"e)ne(! &#n(! ( ,#el%
(/#e"% pen'#en"e! e"e'e%! e!"*,"*(! 'e "#e( e!"(/#l#+('(! =MSE? &*,1% &)!.
F(ll( p%9e!#( #n"e(,,#n 'e (p%% *n( (#e'(' 'e %"%! p%/le&(! p*e'en !e
(/%'('(!.
P1(!e 2 %$e,e *n( (&pl#( 9(&( 'e %p,#%ne! 'e &%'el(6e 'e (p%%. Ele&en"%! 'e
ee!"#&#en"% p*e'en !e (pl#,('%! en el &%'el(6e p%e,"('% ,%n,e"% !#!"e&(! 'e
,%n6*n"% 'e (,e% &*%! 'e ,%n"en,#n p#l%"e! &*l"#,(p( 'e ee!"#&#en"%
,%&p*e!"% 9e% "e-"#le! &*,1% &)!.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Un( 'e l(! ,((,"e<!"#,(! p#n,#p(le! 'e P1(!e 2 e! el (n)l#!#! 'e ele&en"%! $#n#"%! 'e
e!"(/#l#'(' 'e "(l*'e! *!(n'% el &8"%'% 'e e'*,,#n 'e $*e+( 'e ,%"e. E!"( %p,#n e!
"%"(l&en"e (*"%&("#+('( p*e'e !e *!('( ,%n ,*(l:*#e p()&e"% 'e $*e+( M%1
C%*l%&/ % 'e H%eB%0n. L%! &%'el%! 'e #n,l#n(,#n p*e'en !e
#&p%"('%!e-p%"('%! en"e el S%$"0(e Sl#'e P1(!e 2 pe&#"#en'% *n( ,%&p((,#n
$),#l 'e e:*#l#/#% l<&#"e l%! e!*l"('%! 'e ele&en"%! $#n#"%!.
P1(!e 2 #n,l*e e!"('% 'e e:*#l#/#% (n)l#!#! 'e ele&en"%! $#n#"%! #n$#l"(,#n 'e (9*(!
!*/"e)ne(! #n,*!"('% en el p%9(&(. N% 1( ne,e!#'(' 'e *"#l#+( *n p%9(&( 'e
(9*(! !*/"e)ne(! p% !ep(('%. L( pe!#n en l%! p%%! e! 'e"e&#n('( (!< ,%&% el
$l*6% el 9('#en"e l%! e!*l"('%! !%n (*"%&)"#,(&en"e #n,%p%('%! en el (n)l#!#! 'e
"en!#%ne!.
A,"*(l&en"e e!"e !%$"0(e !e p*e'e %/"ene 'e $%&( 'e p*e/( en el p(:*e"e :*e n%!
p%p%,#%n( R%,!,#en,e.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
PROCEDIMIENTO + RESULTADOS
N*e!"%! '("%! p%p%,#%n('%! :*e *!(e&%! en el !%$"0(e !%n l%! !#9*#en"e!
• P%$*n'#'(' 4@5 &
• Den!#'(' 2.K2 "&3
•σ
c >5 MP(
• RMR @5 =;>K>?
• k ;.5K
•m
i : 17 (Granodiorita)
U'i!iz"ci%n de! Sof',"re
Al en"( (l !%$"0(e P1(!e2 e!#n .5 !e &*e!"( l( !#9*#en"e #n"e$(+
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Se p%,e'e ( '#!e( n*e!"( e-,((,#n p% l% :*e !e '( ,l#, en el /(( 'e &en l(
%p,#n B%*n'(#e! l*e9% A'' E-,(("#%n
.
L*e9% !e p%,e'e ( e!,#/# ( =(,? en el e,*('% #n$e#% !#&#l( (l p%9(&(
A*"%,(' l*e9% !e p%,e'e e!,#/# el n&e% 'e !e9&en"%! en e!"e ,(!% p%n'e&%! 45.
A1%( !%l% '(e&%! *n ,l#, en el e!p(,#% 'e "(/(6% p(( '( el p*n"% #n#,#(l 'e n*e!"(
e-,((,#n l*e9% el $#n(l $#n(l&en"e e!,#/#&%! , p(( ,e( n*e!"( e-,((,#n.
El e!*l"('% $#n(l e! el !#9*#en"e
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
A1%( !e le "#ene :*e (9e9( el ,%n"%n% ( n*e!"( e-,((,#n p(( e!% !e p%,e'e (
'( ,l#, en B%*n'(#e! en l( /(( 'e &en l*e9% en A'' E-"en(l.
N%! '( *n ,*('% 'e '#)l%9% '%n'e !e p%,e'e ( ,(&/#( l( p("e 'e B%*n'( Tpe
'e B%- ( C#,le ( :*e n*e!"% "(/(6% (n"e#% $*e e(l#+('% en *n( ,#,*n$een,#(.
A'e&)! ,%&% el "(/(6% (n"e#% !e e(l#+( ,%n *n l<&#"e ,#,*l( 'e "(&(% ,#n,% e,e!
el ('#% !e "%&(( *n E-p(n!#%n F(,"% 'e ;.2 p(( :*e !("#!$(9( l(! ,%n'#,#%ne!.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
N*e!"( )e( 'e "(/(6% :*e'( 'e l( !#9*#en"e &(ne(
Se "#ene :*e 'e"e&#n( l( &(ll( en l( ,*(l !e "(/(6(( p(( e!% n%! ,%l%,(&%! en l(
/(( 'e &en ,%l%,(&%! Me!1 n%! '##9#&%! 1(,#( !* Se"*p.
Página 11
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Ap(e,e *n ,*('% 'e '#)l%9% '%n'e n%"(&%! :*e l( %p,#n Me!1 Tpe !#e p((
&%!"(n%! l%! "#p%! 'e &(ll(! :*e !e 9ene(( en n*e!"% ,(!% l% 'e6(&%! en G('e'
en l( !#9*#en"e %p,#n Ele&en" Tpe n%! &*e!"( l( $%&( 'e l( &(ll( en n*e!"% ,(!%
$%&(e&%! "#)n9*l%! ,%n 3 n%'%! (!# :*e l% 'e6(e&%! en l( %p,#n pe!en"e *n( e+
#!"% e!"% le '(&%! ,l#, en D#!,e"#+e l*e9% en Me!1 p(( $#n(l&en"e '( en O.
N*e!"( )e( 'e "(/(6% :*e'( 'e l( !#9*#en"e &(ne(
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
A1%( "ene&%! :*e ,((,"e#+( n*e!"% &(,#+% %,%!% pe!en"e en l( e-,((,#n. P((
e!"% '(&%! ,l#, en L%('#n9 'e l( /(( 'e &en ,%n!#9*#en"e F#el' S"e!!.
N%! (p(e,e) *n ,*('% 'e '#)l%9% en el ,*(l en l( %p,#n F#el' S"e!! Tpe!
,%l%,(e&%! l( %p,#n G(#" e!"% n%! 9ene(( %"(! ,(!#ll(! :*e "en'e&%! :*e
,%&ple"( ,%n n*e!"%! '("%! p%p%,#%n('%! en ,l(!e. En el e!p(,#% 'e G%*n'
S*$(,e ele("#%n ,%l%,(e&%! 4@5& ( :*e e!"( e! l( p%$*n'#'(' 'e n*e!"(
e-,((,#n en Un#" e#91" Oe/*'en #n!e"(e&%! el (l% 'e l( 'en!#'(' !#en'% e!"e
5.52K2 $#n(l&en"e en T%"(l S"e!! R("#% ,%l%,(e&%! el (l% 'e !#en'% e!"e (l%
en n*e!"% ,(!% #9*(l ( ;.5K.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
O"% p(!% #&p%"(n"e e! '( l(! p%p#e'('e! ( n*e!"( e-,((,#n. P(( e!% '(&%! ,l#,
en P%pe"#e! :*e !e en,*en"( en l( /(( 'e &en !e9*#'(&en"e en De$#ne
M("e#(l!.
N%! (p(e,e *n ,*('% '#)l%9% '%n'e 1( '%! !e,,#%ne! l( p#&e( e! El(!"#,
P%pe"#e! !#en'% e!")! p%p#e'('e! ,%&% el ,%e$#,#en"e Y%*n9 el ,%e$#,#en"e 'e
P%#!!%n ,%l%,(n'% en e!"%! el p#&e (l% 'e ;77K.27> (l l"#&% el (l% 'e 5.3. P((
l( !e9*n'( p("e n%! en,%n"(&%! en S"en9"1 P((&e"e! '%n'e n%! p#'e 'e$#n# el
F(#l*e C#"e#%n =,#"e#% 'e $(ll(? !#en'% n*e!"% &(,#+% %,%!% le ,%l%,(&%! H%e
B%0n ell%! n%! 9ene() %"(! ,(!#ll(! en e!"(! ,%l%,(&%! l%! (l%e!
,%e!p%n'#en"e! en l( p#&e( n%! p#'e In"(," UCS =MP(? en n*e"!% ,(!% !e<( 'e >5
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
MP( en l( !e9*n'( ,(!#ll( n%! p#'e el p()&e"% &. !#en'% e!"e #9*(l ( mb !#en'% en
e!"e ,(!% 3.45K $#n(l&en"e n%! p#'e el (l% 'e S !#en'% e!"e 5.55@737>.
Le '(&%! O p(( (pl#,( l%! '("%! #n9e!('%!.
L*e9% !ele,,#%n(&%! l(! p%p#e'('e! 'e l%! &("e#(le! en n*e!"( e-,((,#n. P(( e!%
'(&%! ,l#, en P%pe"#e! 'e l( /(( &en !ele,,#%n(&%! A!!#9n P%pe"#e!
(p(e,#en'% l( !#9*#en"e p(n"(ll(.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Se '( ,l#, en E-,(("e $#n(l&en"e !e '( ,l#, en el ,en"% 'e n*e!"( e-,((,#n. El
e!*l"('% e! el !#9*#en"e
F#n(l&en"e ,%n n*e!"%! '("%! #n9e!('%! !e p%,e'e ( ,%e n*e!"%! '("%! ,%n l(
1e(&#en"( ,%&p*"e #,%n% 'e ,%l% e'e !#"*('% en l( /(( 'e 1e(&#en"(!. L(
%p,#n e! !#&#l( ( *n "e,l('% 'e ,%l% e'e.
P(( e!% "ene&%! :*e 9*('( n*e!"% (,1#% pe#(&en"e en l( ,(pe"( :*e 'e!ee&%!.
A1%( !%l% n%! $(l"( #n"epe"( l( 9)$#,( p(( e!% n%! (&%! ( In"epe" */#,('% (l
l('% 'e C%&p*"e en l( /(( 'e 1e(&#en"(!.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Se n%! &*e!"( %"( en"(n( &%!")n'%n%! l(! 9)$#,(! e:*e#'(! en n*e!"% ,(!%
(n(l#+(e&%! !%l% S#9&( ; S#9&( 3 F(,"% 'e Se9*#'(' el D#(9(&( 'e Fle,1(!.
L(! 9)$#,(! :*e n%! p*e'e '( el !%$"0(e P1(!e2 !%n l(! !#9*#en"e!
Se p%,e'e ( &%!"( l(! 9)$#,(! 9ene('(!
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
SIGMA -
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
SIGMA .
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
FACTOR DE SEGURIDAD
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
DIAGRAMA DE FLEC/AS
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
E!"%! 9)$#,%! !e p*e'en (n(l#+( "(&/#8n 'e $%&( "e-"*(l &e'#(n"e l%! !#9*#en"e!
p(!%! D( ,l#, en F#le 'e l( /(( 'e &en p(( l*e9% '( ,l#, en In$% V#e0e.
L( #n$%&(,#n e! l( !#9*#en"e
Phase2 Analysis Information
Document Name
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
informe2.fea
Project Settings
Project Name: Project1Single stage model
Analysis Type: Plane StrainMaximum Number of terations: !""Tolerance: ".""1Number of #oad Steps: AutomaticSol$er Type: %aussian &limination
%round'aterMet(od: Pie)ometric #inesPore *luid +nit ,eig(t: ".""-1
Field Stress
*ield stress: gra$ity%round surface ele$ation: /0" m+nit 'eig(t of o$erburden: "."22 MNm3Stress ratio 4(ori)ontal:$ertical in5plane6: 1."Stress ratio 4(ori)ontal:$ertical out5of5plane6: 1#oc7ed5in (ori)ontal stress 4in5plane6: "#oc7ed5in (ori)ontal stress 4out5of5plane6: "
Mesh
Mes( type: graded&lement type: 3 noded trianglesNumber of elements: -0Number of nodes: !//
Mesh Quality
2 of 1282 &lements 4 ".2 9 of elements6 are poor uality elements" of 1282 &lements 4 "." 9 of elements6 are poor uality elements because of t(e sidelengt( ratio" of 1282 &lements 4 "." 9 of elements6 are poor uality elements because of t(e minimuminterior angle2 of 1282 &lements 4 ".2 9 of elements6 are poor uality elements because of t(e maximuminterior angle4elements can be of poor uality for more t(an one reason6
Mes( ;uality StatisticsT(e 'orst element (as 4ratio < 2.236= 4min angle < 2!.86 4max angle < 122.8161"."9 of elements (a$e: 4ratios > 1.86= 4min angles ? 30."6 4max angles > -1.!62"."9 of elements (a$e: 4ratios > 1.06= 4min angles ? 3-.36 4max angles > !."63"."9 of elements (a$e: 4ratios > 1.!6= 4min angles ? /2."6 4max angles > ".86/"."9 of elements (a$e: 4ratios > 1./6= 4min angles ? //./6 4max angles > 88.36!"."9 of elements (a$e: 4ratios > 1.36= 4min angles ? /0.36 4max angles > 8/.-60"."9 of elements (a$e: 4ratios > 1.36= 4min angles ? /."6 4max angles > 82.068"."9 of elements (a$e: 4ratios > 1.26= 4min angles ? /-.-6 4max angles > 8".!6
"."9 of elements (a$e: 4ratios > 1.26= 4min angles ? !1.06 4max angles > 0.!6-"."9 of elements (a$e: 4ratios > 1.26= 4min angles ? !3./6 4max angles > 00.!61""."9 of elements (a$e: 4ratios > 1.16= 4min angles ? !!.86 4max angles > 0/.16
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
Poor uality elements are t(ose 'it(:4maximum side lengt(6 4minimum side lengt(6 > 1".""Minimum interior angle ? 2"." degreesMaximum interior angle > 12"." degrees
Material Properties
Material: Material 1nitial element loading: field stress @ body force+nit 'eig(t "."28Material type: isotropicoungBs modulus 188.2 MPaPoissonBs ratio ".3*ailure criterion: Coe75Dro'nEompressi$e strengt( -" MPam parameter: 3./"= s parameter: ".""0838-!Material type: &lastic
CONCLUSIONES
• El P1(!e2 e! *n p%9(&( :*e n%! pe&#"e p%'e e(l*( el ,%&p%"(&#en"% 'e
n*e!"( e-,((,#n.• Se p*e'e e(l*( l(! '#!"#n"(! $%&(! 'e n*e!"(! e-,((,#%ne! ( !e( ,#,*l(
e,"(n9*l( en"e %"(!.• El !%$"0(e n%! p%p%,#%n( *n( 9(n ,(n"#'(' 'e 9)$#,(! :*e n%! ( ( !e#
p(( *n( $*"*( "%&( 'e 'e,#!#%ne! ,%&% p% e6e&pl% 'e,#!#%ne! en el
!%!"en#&#en"%.
• El !%$"0(e P1(!e2 n%! p#'enel &%'*l% 'e Y%*n9 l( el(,#n 'e P%#!!%n (
'#$een,#( 'e n*e!"% ,)l,*l% ( &(n% "en#en'% e$e,"% en l( 9ene(,#n 'e l(!
,*(! #!%(l%#,(! en ,('( ,(!%.
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3° INFORME – ESFUERZOS INDUCIDOS SOBRE UNA EXCAVACIÓNUSANDO PHASE
• L(! 9)$#,(! 9ene('(! en el !%$"0(e P1(!e2 e!#n .5 !%n !#&#l(e! ( l(!
9ene('(! ( &(n% 'e (,*e'% ( l(! $&*l(! 'e e!$*e+%! (le'e'% 'e *n(
e-,((,#n ,#,*l(.
BIBLIOGRAF0A
• 1""p!000.%,!,#en,e.,%&1elpp1(!e20e/1elp"*"%#(l!P1(!e2T*"%#(l!.1"
&• 1""p!000.9%%9le.,%&.pe!e(,1
:p1(!eQ2Q!%$"0(eQ"*"%#(l%:p1(!eQ2Q(:!,1%&e.5.@>#>6@>#765l4.2K
4;656K!%*,e#',1%&ee!!&>3#eUTFK