Trabalho Final Elasto Plasticidade

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    Parametros do Modelo Parametros de Ruptura Parametros iniciais

    3 pf 225 p'0 150

    0.3 qf 225 v 0.3

    0.06 n (n incrementos) 75

    N 3.17 1

    M 1 q 30.66

    p' q d

    0.0 0 0 0 0 0 0

    150.0 0 0 0 0.00062 0.0002!05 0.0012025

    151.0 3 0.01"675 0.01"675!7 0.001070" 0.000232 0.00131152.0 6 0.03!737 0.0160613!5 0.0011753 0.000237 0.001!133

    153.0 0.05""235 0.013!"!52 0.0012755 0.0002367 0.0015122

    15!.0 12 0.077221 0.010"5!"5 0.001371! 0.0002355 0.001606

    155.0 15 0.0677!2 0.01""521156 0.001!62 0.00023!! 0.001673

    156.0 1" 0.1153"!6 0.01"610!21" 0.0015501 0.0002333 0.0017"3!

    157.0 21 0.13375" 0.01"3733!6! 0.001633 0.0002322 0.001"653

    15".0 2! 0.151""7 0.01"1!0772! 0.0017117 0.0002312 0.001!2

    15.0 27 0.16"113 0.017125"66 0.0017"63 0.0002302 0.002016!

    160.0 30 0.1"75 0.0176""672 0.001"567 0.000222 0.0020"5

    161.0 33 0.20!6" 0.017!6"!!1 0.001232 0.00022"2 0.002151!

    162.0 36 0.2222222 0.01725327"1 0.001"57 0.0002273 0.002213

    163.0 3 0.23263" 0.0170!15"15 0.0020!!5 0.000226! 0.002270

    16!.0 !2 0.256076 0.016"337573 0.00206 0.0002256 0.0023251

    165.0 !5 0.2727273 0.01662711" 0.0021511 0.00022!7 0.002375"

    166.0 !" 0.2"1566 0.016!2353" 0.00211 0.000223 0.002!23

    167.0 51 0.3053"2 0.016232551 0.0022!3 0.0002231 0.002!67

    16".0 5! 0.321!2"6 0.016033! 0.0022"55 0.0002223 0.002507"

    16.0 57 0.33727"1 0.015"!5351 0.00232! 0.0002216 0.0025!55

    170.0 60 0.352!12 0.01566307 0.002355 0.000220" 0.0025"0!

    171.0 63 0.36"!211 0.015!7"762 0.002323 0.0002201 0.002612!

    172.0 66 0.3"3720 0.0152"776 0.002!22! 0.00021! 0.0026!1"

    173.0 6 0.3""!3 0.015123000! 0.002!! 0.00021"7 0.00266"6

    17!.0 72 0.!13731 0.01!!172" 0.002!75 0.00021" 0.00263

    175.0 75 0.!2"571! 0.01!77"3251 0.002!77 0.000217! 0.0027151

    176.0 7" 0.!!31"1" 0.01!6103"6 0.00251"3 0.0002167 0.002735

    177.0 "1 0.!576271 0.01!!!53005 0.0025367 0.0002161 0.002752"

    17".0 "! 0.!71101 0.01!2"237 0.0025532 0.0002155 0.00276"7

    17.0 "7 0.!"60335 0.01!123!072 0.002567" 0.00021! 0.0027"27

    1"0.0 0 0.5 0.01366!"0! 0.0025"06 0.00021!3 0.0027!

    1"1.0 3 0.513"122 0.013"1215!7 0.00251" 0.0002137 0.002"05!

    1"2.0 6 0.527!725 0.013660372" 0.0026013 0.0002131 0.002"1!!

    p'

    eo

    dpv

    dev

    dv

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    1"3.0 0.5!0"36 0.013511071 0.00260! 0.0002125 0.002"21

    1"!.0 102 0.55!3!7" 0.01336!215 0.0026161 0.000212 0.002"2"

    1"5.0 105 0.5675676 0.013217!15 0.002621! 0.000211! 0.002"32"

    1"6.0 10" 0.5"06!52 0.013077537 0.0026255 0.000210 0.002"36!

    1"7.0 111 0.535"2 0.01237726! 0.00262"! 0.000210! 0.002"3""

    1"".0 11! 0.6063"3 0.012"0001 0.0026302 0.00020" 0.002"!01

    1".0 117 0.610!76 0.01266!6!03 0.002631 0.000203 0.002"!03

    10.0 120 0.63157" 0.01253132"3 0.002630 0.00020"" 0.002"37

    11.0 123 0.6!371 0.012!001102 0.00262" 0.00020"3 0.002"3"1

    12.0 126 0.65625 0.012270!2! 0.002627 0.000207" 0.002"357

    13.0 12 0.66"33" 0.0121!37"2! 0.0026251 0.0002073 0.002"325

    1!.0 132 0.6"0!12! 0.01201"5""" 0.0026217 0.000206" 0.002"2"5

    15.0 135 0.623077 0.011"53212 0.0026175 0.000206! 0.002"23

    16.0 13" 0.70!0"16 0.011773!03 0.002612" 0.000205 0.002"1"7

    17.0 1!1 0.715736 0.01165!!0" 0.002607! 0.000205! 0.002"12"

    1".0 1!! 0.7272727 0.0115366"67 0.0026015 0.000205 0.002"06!

    1.0 1!7 0.73"635 0.011!207!01 0.00255 0.00020!5 0.00275

    200.0 150 0.75 0.0113065327 0.0025""1 0.00020!1 0.002721

    201.0 153 0.7611! 0.0111!02 0.0025"07 0.0002036 0.0027"!3

    202.0 156 0.7722772 0.0110"317 0.002572 0.0002032 0.0027761

    203.0 15 0.7"32512 0.0107!003" 0.00256!" 0.0002027 0.0027675

    20!.0 162 0.7!1176 0.010"66!155 0.0025562 0.0002023 0.00275"5

    205.0 165 0."0!"7" 0.010760!017 0.0025!7! 0.000201 0.0027!3

    206.0 16" 0."1553! 0.01065531" 0.00253"3 0.000201! 0.002737

    207.0 171 0."260"7 0.01055275 0.00252" 0.000201 0.00272

    20".0 17! 0."3653"5 0.010!51505 0.002512 0.0002006 0.00271"

    20.0 177 0."!6" 0.010351!06 0.00250! 0.0002002 0.002706

    210.0 1"0 0."571!2 0.01025205 0.002!3 0.0001" 0.00261

    211.0 1"3 0."672"6 0.0101557211 0.002!" 0.0001! 0.0026""!

    212.0 1"6 0."7735"5 0.0100512! 0.002!7"6 0.0001 0.0026776

    213.0 1" 0.""7323 0.0065!531 0.002!6" 0.0001"5 0.0026666

    21!.0 12 0."7163 0.00"7231" 0.002!573 0.0001"2 0.0026555

    215.0 15 0.06767 0.007"0!"25 0.002!!65 0.00017" 0.0026!!2

    216.0 1" 0.166667 0.006"225 0.002!355 0.00017! 0.002632

    217.0 201 0.262673 0.0060061!! 0.002!2!5 0.00017 0.0026215

    21".0 20! 0.3577" 0.00512535! 0.002!13! 0.000166 0.0026021.0 207 0.!52055 0.00!25662 0.002!022 0.000162 0.0025"!

    220.0 210 0.5!5!55 0.0033751 0.00230 0.00015" 0.0025"67

    221.0 213 0.63"00 0.00255!50! 0.002376 0.00015! 0.0025751

    222.0 216 0.7273 0.0017206" 0.00236"3 0.000151 0.0025633

    223.0 21 0."2062" 0.000""073 0.002356 0.0001!7 0.0025516

    22!.0 222 0.1071! 0.0000"6!"3 0.0023!55 0.0001!3 0.00253"

    225.0 225 0. 0.00"27571! 0.00233! 0.00013 0.002527

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    de e G'

    0 0 0.6632 0 0 0 0 0

    0.0012025 0.002000 0.6612 11.0362 0 0.0001737 0.0001737 0.0001737

    0.0025125 0.0021761 0.650 12.5067 !.26#$005 0.000172" 0.0002153 0.0003"0.00325" 0.0023!!6 0.6566 13.7!05 .2#$005 0.000171" 0.00026!" 0.000653"

    0.005!3" 0.0025052 0.65!1 1!.7!26 0.0001506 0.000171 0.0003215 0.000753

    0.0070!5 0.00265"1 0.6515 15.51"2 0.000215 0.0001701 0.0003"51 0.0013605

    0.00"7!23 0.002"031 0.6!"7 16.0731 0.0002"5" 0.000163 0.000!551 0.001"156

    0.0105257 0.002!03 0.6!57 17".!131 0.0003625 0.00016"5 0.000531 0.0023!66

    0.01231 0.003067 0.6!27 1"7.5!!3 0.000!!!" 0.0001677 0.0006125 0.00252

    0.01!333 0.003116 0.635 16.!72 0.0005323 0.000167 0.00063 0.00365"!

    0.0163503 0.003305 0.6362 2005.2053 0.00062!7 0.0001662 0.00070 0.00!!!3

    0.01"!362 0.003!12 0.632" 2013.7!7" 0.0007216 0.0001655 0.000""72 0.0053365

    0.0205"77 0.0035127 0.622 2022.107 0.000"23 0.00016!" 0.000"7" 0.00632!3

    0.022"007 0.0036056 0.6256 2030.2"2 0.0002"! 0.00016!2 0.001026 0.007!16

    0.0250716 0.003617 0.621 203".301 0.0010377 0.0001635 0.0012013 0.00"61"2

    0.027367 0.0037712 0.61"2 20!6.1!"7 0.001150 0.000162 0.001313" 0.0031

    0.027725 0.003"!!! 0.61!3 2053."3"7 0.0012676 0.0001623 0.001!2 0.011361"

    0.032156 0.003116 0.610! 2061.3772 0.0013"7" 0.0001617 0.0015!5 0.01211!

    0.03!6626 0.00372 0.606! 206".7702 0.0015115 0.0001611 0.0016726 0.01!5"!

    0.037170! 0.00!02"6 0.602! 2076.023" 0.00163"5 0.0001606 0.00171 0.0163"31

    0.03715 0.00!07 0.5"3 20"3.1!3 0.00176" 0.00016 0.0012" 0.01"311

    0.0!2262 0.00!12!3 0.5!2 200.1361 0.001026 0.000155 0.002062 0.02037!

    0.0!!0"6 0.00!16!7 0.501 207.006 0.002036 0.00015 0.0021"5 0.0225725

    0.0!7550! 0.00!2005 0.5"5" 2103.75 0.0021" 0.00015"! 0.00233"5 0.02!11

    0.05021 0.00!232 0.5"16 2110.!002 0.002323 0.000157 0.002!"1 0.02732

    0.05212 0.00!253 0.577! 2116.3!7 0.002!71! 0.0001575 0.00262" 0.0300217

    0.0556271 0.00!2"27 0.5731 2123.3673 0.0026226 0.000157 0.002776 0.032"013

    0.05"362 0.00!3023 0.56"" 212.702" 0.0027777 0.0001565 0.0023!2 0.0357355

    0.06111!" 0.00!31"5 0.56!5 2135.!56 0.00236" 0.0001561 0.00302" 0.03""2"3

    0.063""35 0.00!3315 0.5601 21!2.1 0.0031002 0.0001556 0.003255" 0.0!20"!1

    0.0666662 0.00!3!13 0.555" 21!".1702 0.00326"1 0.0001552 0.003!233 0.0!5507!

    0.06!611 0.00!3!"2 0.551! 215!.1601 0.003!!0" 0.00015!7 0.003556 0.0!103

    0.0722665 0.00!3525 0.5!71 2160.0736 0.00361"7 0.00015!3 0.003773 0.052"76

    0.0750"0 0.00!35!2 0.5!27 2165.1!3 0.003"021 0.000153 0.00356 0.056"32

    v

    dps

    des

    ds

    s

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    0.07702 0.00!3535 0.53"! 2171.6"56 0.0031! 0.0001535 0.00!1!! 0.06077

    0.0"0730 0.00!3506 0.53!0 2177.30 0.00!1"71 0.0001531 0.00!3!02 0.0653172

    0.0"35637 0.00!3!56 0.527 21"3.0333 0.00!3"7 0.0001527 0.00!5!2! 0.06"56

    0.0"6!001 0.00!33"7 0.5253 21"".615 0.00!5" 0.0001523 0.00!7521 0.07!6117

    0.0"23" 0.00!3301 0.5210 21!.1!16 0.00!"17 0.000151 0.00!6" 0.075"15

    0.0207" 0.00!31" 0.5167 21.613 0.0050!! 0.0001515 0.00516! 0.0"!777

    0.0!13 0.00!307 0.512! 2205.032" 0.0052"1! 0.0001512 0.005!326 0.002105

    0.0775" 0.00!2!6 0.50"1 2210.!03! 0.00552"! 0.000150" 0.005672 0.05""7

    0.10057 0.00!2"01 0.503" 2215.7273 0.0057"6 0.000150! 0.00537! 0.101"271

    0.103!327 0.00!26!3 0.!5 2221.0066 0.00605" 0.0001501 0.00620"1 0.10"0352

    0.1062651 0.00!2!7! 0.!53 2226.2!36 0.0063!3 0.0001!7 0.006!27 0.11!527

    0.10036 0.00!225 0.!11 2231.!!01 0.0066!32 0.0001!! 0.006726 0.1213205

    0.111176 0.00!2106 0.!"6 2236.5"1 0.006603 0.0001! 0.007103 0.12"!2"

    0.11!7362 0.00!10 0.!"27 22!1.715 0.007261 0.0001!"7 0.007!!!" 0.135"7!6

    0.1175! 0.00!170! 0.!7"5 22!6."06 0.0076527 0.0001!"! 0.007"011 0.1!36757

    0.120355! 0.00!1!3 0.!7!3 2251."52 0.00"0325 0.0001!" 0.00"1"06 0.151"563

    0.12315! 0.00!127! 0.!702 2256.""07 0.00"!3"! 0.0001!77 0.00"5"61 0.160!!2!

    0.125!7 0.00!105 0.!661 2261."71 0.00""73! 0.0001!7! 0.00020" 0.16!631

    0.12"7313 0.00!0"21 0.!620 2266."3!3 0.003!1! 0.0001!7 0.00!""! 0.17"515

    0.131507! 0.00!05"7 0.!5"0 2271.761 0.00"!67 0.0001!67 0.003! 0.1""!5

    0.13!27! 0.00!03! 0.!53 2276.6777 0.0103!6 0.0001!6! 0.0105!1 0.1!"6

    0.137033! 0.00!0107 0.!! 22"1.5611 0.01013 0.0001!61 0.011137! 0.2106233

    0.137"27 0.003"62 0.!!5 22"6.!206 0.0116!!1 0.0001!5" 0.0117" 0.222!132

    0.1!2522! 0.003615 0.!!20 221.2572 0.0123621 0.0001!55 0.0125076 0.23!20"

    0.1!52523 0.003365 0.!3"0 226.072 0.0131562 0.0001!52 0.013301! 0.2!"2222

    0.1!7722 0.003112 0.!3!1 2300."65" 0.01!0!01 0.0001!! 0.01!1"5 0.262!072

    0.1506"17 0.003""5" 0.!302 2305.635 0.0150306 0.0001!!6 0.0151752 0.2775"2!

    0.1533"0" 0.003"603 0.!26! 2310.3!2 0.0161!3 0.0001!!3 0.016236 0.23"76

    0.156062 0.003"3!7 0.!225 2315.130! 0.017!237 0.0001!! 0.0175677 0.311!!37

    0.15"7!67 0.003"0 0.!1"7 231."!2 0.01""" 0.0001!37 0.010336 0.330!773

    0.161!133 0.0037"32 0.!150 232!.551 0.02056 0.0001!3! 0.02073! 0.3512167

    0.16!06"" 0.003757! 0.!112 232.2367 0.0226076 0.0001!31 0.0227507 0.37367!

    0.166713 0.0037315 0.!075 2333.06 0.0250166 0.0001!2" 0.02515! 0.3126"

    0.163!5 0.0037057 0.!03" 233".5622 0.027555 0.0001!25 0.02"0"1 0.!2722!

    0.171673 0.00367 0.!001 23!3.2033 0.031623! 0.0001!23 0.0317656 0.!5"05

    0.17!5773 0.00365!1 0.36! 23!7."305 0.036332" 0.0001!2 0.036!7!" 0.!5!6530.1771756 0.00362"! 0.32" 2352.!!!6 0.0!260!7 0.0001!17 0.0!27!6! 0.53"2117

    0.17762! 0.003602" 0.3"2 2357.0!5 0.0513771 0.0001!1! 0.05151"5 0.5"7302

    0.1"2337! 0.0035773 0.3"56 2361.635 0.06!5255 0.0001!11 0.06!6666 0.65!36

    0.1"!00" 0.003551" 0.3"21 2366.2122 0.0"6!26! 0.0001!0 0.0"65673 0.7!06!1

    0.1"7!52! 0.0035265 0.37"5 2370.77"1 0.13020! 0.0001!06 0.13035 0."7131!1

    0.1"22 0.0035013 0.3750 2375.333 0.261521 0.0001!03 0.2616622 1.13276!

    0.125201 0.003!76 0.3716 237."773 2333.552 0.0001!01 2333.553 2335.0""3

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    lai e lec %up. #scoamento &ina de #stado (.

    p' e (iso) e (lec) p' q p' q'

    0 0.00 0.0122!7! 0.00 0.000001

    50 0.27 0."26! 2.25 1".232"73 5.00 5.000001

    52.5 0.7"1 0."11" !.50 25.5""0"6 10.00 10.00000155 0.6!2 0.77" 6.75 31.05621 15.00 15.000001

    57.5 0.50" 0.7"!5 .00 35.62302" 20.00 20.000001

    60 0.3"1 0.7717 11.25 3.50"703 25.00 25.000001

    62.5 0.25" 0.755 13.50 !2.27265 30.00 30.000001

    65 0.1!0 0.7!77 15.75 !5."301! 35.00 35.000001

    67.5 0.027 0.736! 1".00 !".7!!232 !0.00 !0.000001

    70 0."1" 0.7255 20.25 51.25"537 !5.00 !5.000001

    72.5 0.""13 0.71! 22.50 53.56071! 50.00 50.000001

    75 0."711 0.70!" 2!.75 55.6770"3 55.00 55.000001

    77.5 0."613 0.6! 27.00 57.62"11 60.00 60.000001

    "0 0."517 0.6"5! 2.25 5.!30107 65.00 65.000001

    "2.5 0."!25 0.6762 31.50 61.06236 70.00 70.000001

    "5 0."336 0.6672 33.75 62.63735 75.00 75.000001

    "7.5 0."2! 0.65"5 36.00 6!.062!7 "0.00 "0.000001

    0 0."16! 0.6501 3".25 65.371"3 "5.00 "5.000001

    2.5 0."0"2 0.6!1" !0.50 66.531 0.00 0.000001

    5 0."002 0.633" !2.75 67.712167 5.00 5.000001

    7.5 0.72! 0.6260 !5.00 6".73"636 100.00 100

    100 0.7"!" 0.61"! !7.25 6.6773"2 105.00 105

    102.5 0.777! 0.6110 !.50 70.5310" 110.00 110

    105 0.7702 0.603" 51.75 71.3052!2 115.00 115

    107.5 0.7631 0.56" 5!.00 72 120.00 120

    110 0.7562 0.5" 56.25 72.61"!3" 125.00 125

    112.5 0.7!5 0.5"31 5".50 73.162!1 130.00 130

    115 0.7!2 0.5765 60.75 73.633"07 135.00 135

    117.5 0.736! 0.5701 63.00 7!.033776 1!0.00 1!0

    120 0.7301 0.563" 65.25 7!.36355 1!5.00 1!5

    122.5 0.723 0.5576 67.50 7!.62!05" 150.00 150

    125 0.717 0.5515 6.75 7!."1602! 155.00 155

    127.5 0.711 0.5!56 72.00 7!.376 160.00 160

    130 0.7061 0.537 7!.25 7!.625 165.00 165

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    132.5 0.700! 0.53!0 76.50 7!."!" 170.00 170

    135 0.6!" 0.52"! 7".75 7!.0611 175.00 175

    137.5 0.6"3 0.522 "1.00 7!.75615 1"0.00 1"0

    1!0 0.6"3 0.5175 "3.25 7!.5!!"6 1"5.00 1"5

    1!2.5 0.67"6 0.5122 "5.50 7!.261363 10.00 10

    1!5 0.6733 0.5070 "7.75 73.0"305 15.00 15

    1!7.5 0.66"2 0.501 0.00 73.!"!62 200.00 200

    150 0.6632 0.!6" 2.25 72."27 205.00 205

    152.5 0.65"2 0.!1 !.50 72.!206!6 210.00 210

    155 0.6533 0.!"70 6.75 71.776" 215.00 215

    157.5 0.6!"5 0.!"22 .00 71.056315 220.00 220

    160 0.6!3" 0.!77! 101.25 70.256227 225.00 225

    162.5 0.632 0.!72" 103.50 6.373"6 230.00 230

    165 0.63!6 0.!6"2 105.75 6".!06!1! 235.00 235

    167.5 0.6301 0.!637 10".00 67.3!"32 2!0.00 2!0

    170 0.6256 0.!53 110.25 66.1"1 2!5.00 2!5

    172.5 0.6212 0.!5! 112.50 6!.5105 250.00 250

    175 0.616 0.!506 11!.75 63.5"22 255.00 255

    177.5 0.6127 0.!!63 117.00 62.136!5 260.00 260

    1"0 0.60"5 0.!!21 11.25 60.5552!3 265.00 265

    1"2.5 0.60!3 0.!3"0 121.50 5"."!5135 270.00 270

    1"5 0.6002 0.!33 123.75 56.5065 275.00 275

    1"7.5 0.562 0.!2 126.00 5!.007 2"0.00 2"0

    10 0.522 0.!25 12".25 52."15125 2"5.00 2"5

    12.5 0.5""3 0.!220 130.50 50.!!551! 20.00 20

    15 0.5"!5 0.!1"1 132.75 !7."532 25.00 25

    17.5 0.5"06 0.!1!3 135.00 !5 300.00 300

    200 0.576 0.!105 137.25 !1."32253

    202.5 0.5731 0.!06" 13.50 3".272051

    205 0.565 0.!031 1!1.75 3!.17037

    207.5 0.565" 0.35 1!!.00 2.33"75

    210 0.5622 0.35 1!6.25 23.!1"73

    212.5 0.55"7 0.323 1!".50 1!.2!"07

    215 0.5552 0.3""" 150.00 0.122!7!!

    217.5 0.5517 0.3"53

    220 0.5!"3 0.3"1222.5 0.5!! 0.37"5

    225 0.5!15 0.3752

    227.5 0.371

    230 0.36"6

    232.5 0.3653

    235 0.3621

    237.5 0.35"

    2!0 0.355"

    2!2.5 0.3527

    2!5 0.3!62!7.5 0.3!66

    250 0 3!36

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    9/35

    252.5 0.3!06

    255 0.3376

    257.5 0.33!7

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    10/35

    0.0 50.0 100.0 150.0 200.0 250.0 300.0 350

    50

    100

    150

    200

    250

    300

    350

    ('art )itle

    0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0000

    0.2000

    0.!000

    0.6000

    0."000

    1.0000

    1.2000

    (art )itle

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    11/35

    0 0.2 0.! 0.6 0." 1 1.20

    50

    100

    150

    200

    250

    0 0.2 0.! 0.6 0." 1 1.20

    0.02

    0.0!

    0.06

    0.0"

    0.1

    0.12

    0.1!

    0.16

    0.1"

    0.2

    (olumn *

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    12/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    13/35

    .0

    .0

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    14/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    15/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    16/35

    Parametros do Modelo Parametros de Ruptura Parametros iniciais

    3 pf 1"0 p'c 150

    0.3 qf 1"0 p'o 120

    0.06 n (n incrementos) 30 v 0.3

    N 3.17 1

    M 1 q 3

    0.66

    p' q d

    0.0 0 0 0 0 0 0

    120.0 0 0 0 0 0.0003006 0.0003006

    121.0 3 0.02!73! 0.02!733""! 0 0.0002"2 0.0002"2

    122.0 6 0.0!1"03 0.02!3"63! 0 0.00025 0.00025

    123.0 0.0731707 0.0230!03" 0 0.000236 0.000236

    12!.0 12 0.0677!2 0.023603!61" 0 0.000213 0.000213

    125.0 15 0.12 0.023225"065 0 0.0002" 0.0002"

    126.0 1" 0.1!2"571 0.022"571!2 0 0.0002"6" 0.0002"6"

    127.0 21 0.16535!3 0.022!71"7 0 0.0002"!6 0.0002"!6

    12".0 2! 0.1"75 0.0221!5663 0 0.0002"25 0.0002"25

    12.0 27 0.203023 0.021"023256 0 0.0002"0! 0.0002"0!

    130.0 30 0.230762 0.021!66052 0 0.00027"3 0.00027"3

    131.0 33 0.2510"! 0.021131662 0 0.0002763 0.0002763

    132.0 36 0.2727273 0.020"1""75" 0 0.00027!2 0.00027!2

    133.0 3 0.232331 0.020505"1 0 0.0002723 0.0002723

    13!.0 !2 0.313!32" 0.02017531 0 0.0002703 0.0002703

    135.0 !5 0.3333333 0.0100!75 0.002"03 0.00026"! 0.0030723

    136.0 !" 0.352!12 0.01607"!31 0.002"5" 0.0002672 0.0031252

    137.0 51 0.372262" 0.01321573 0.00206" 0.0002661 0.003172

    13".0 5! 0.3130!3 0.010!157!1 0.002506 0.000265 0.0032156

    13.0 57 0.!10071 0.01"7675!6 0.002"6 0.00026! 0.0032535

    1!0.0 60 0.!2"571! 0.01"!!"61 0.00302!1 0.000262 0.0032"71

    1!1.0 63 0.!!6"0"5 0.01"2370"21 0.00305!5 0.000261 0.003316!

    1!2.0 66 0.!6!7""7 0.017"0221" 0.0030"1 0.000260 0.0033!11!3.0 6 0.!"25175 0.01772"7501 0.003103" 0.00026 0.0033637

    1!!.0 72 0.5 0.017!"25175 0.0031231 0.000251 0.0033"22

    1!5.0 75 0.5172!1! 0.0172!1373 0.003133 0.00025"1 0.003375

    1!6.0 7" 0.53!2!66 0.01700516 0.0031526 0.0002572 0.003!0"

    1!7.0 "1 0.551020! 0.016773"32" 0.0031631 0.000256! 0.003!1!

    1!".0 "! 0.5675676 0.0165!715! 0.003171 0.0002555 0.003!265

    1!.0 "7 0.5"3"26 0.0163250! 0.0031766 0.00025!7 0.003!313

    p'

    eo

    dpv

    dev

    dv

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    17/35

    150.0 0 0.6 0.0161073"26 0.0031" 0.000253" 0.003!33"

    151.0 3 0.615"! 0.015"!037 0.0031"1! 0.000253 0.003!3!!

    152.0 6 0.63157" 0.0156"!076 0.0031"0 0.0002522 0.003!332

    153.0 0.6!705"" 0.015!7"762 0.00317"" 0.000251! 0.003!302

    15!.0 102 0.6623377 0.01527""3"" 0.003175 0.0002507 0.003!257

    155.0 105 0.677!1! 0.0150"1625 0.00316" 0.0002! 0.003!17

    156.0 10" 0.623077 0.01!"""3375 0.0031633 0.0002!2 0.003!125157.0 111 0.707006! 0.01!6"6771 0.0031556 0.0002!"! 0.003!0!

    15".0 11! 0.72151 0.01!512617 0.0031!6" 0.0002!77 0.0033!5

    15.0 117 0.735"!1 0.01!330063 0.003136 0.0002!7 0.0033"3

    160.0 120 0.75 0.01!150!3! 0.0031262 0.0002!63 0.003372!

    161.0 123 0.763752 0.013751553 0.00311!6 0.0002!56 0.0033601

    162.0 126 0.777777" 0.013"026225 0.0031022 0.0002!! 0.0033!71

    163.0 12 0.71!11 0.0136332652 0.0030"2 0.0002!!2 0.003333!

    16!.0 132 0."0!"7" 0.013!67005" 0.0030756 0.0002!35 0.003311

    165.0 135 0."1"1"1" 0.01330376! 0.003061! 0.0002!2" 0.00330!2

    166.0 13" 0."313253 0.0131!3!"3 0.0030!67 0.0002!22 0.0032""167.0 1!1 0."!!311! 0.012"6076 0.0030315 0.0002!15 0.0032731

    16".0 1!! 0."571!2 0.012"31!7 0.003016 0.0002!0 0.003256

    16.0 1!7 0."6"225 0.0126762"1 0.0030001 0.0002!02 0.0032!0!

    170.0 150 0.""2352 0.012530!56 0.002"! 0.000236 0.0032236

    171.0 153 0."!736" 0.0123"300 0.002675 0.00023 0.0032065

    172.0 156 0.06767 0.01223021 0.00250" 0.00023"3 0.0031"2

    173.0 15 0.10751 0.0120"!003 0.0023! 0.0002377 0.0031717

    17!.0 162 0.3103!5 0.011533"2 0.00216 0.0002371 0.00315!

    175.0 165 0.!2"571 0.011"226601 0.002"" 0.0002365 0.0031363

    176.0 16" 0.5!5!55 0.0116""3117 0.002""25 0.000235 0.00311"!

    177.0 171 0.661017 0.0115562!0! 0.002"651 0.0002353 0.003100!

    17".0 17! 0.7752"1 0.011!2635 0.002"!77 0.00023!7 0.0030"2!

    17.0 177 0."""26" 0.0112"725" 0.002"302 0.00023!1 0.00306!3

    1"0.0 1"0 0. 0.0111631"!! 0.002"11 0.0002335 0.0030!!5

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    18/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    19/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    20/35

    intersepto

    p' 135

    de e G'

    0 0 0.6632 0 0 0 0

    0.0003006 0.000500 0.6627 1535.22 0 0.0002171 0.0002171

    0.0005" 0.000!5 0.6622 15!7.5572 0 0.000215! 0.000215!

    0.000"!7 0.000!1" 0.6617 155.""16 0 0.0002137 0.0002137

    0.0011""3 0.000!"7" 0.6612 1572.2021 0 0.000212 0.000212

    0.001!76 0.000!"3 0.6607 15"!.51 0 0.000210! 0.000210!

    0.00176"6 0.000!" 0.6602 156."321 0 0.00020"7 0.00020"7

    0.002055! 0.000!762 0.657 160.1!15 0 0.0002071 0.0002071

    0.0023!01 0.000!72! 0.653 1621.!!73 0 0.0002056 0.0002056

    0.0026226 0.000!6"" 0.65"" 1633.7!! 0 0.00020! 0.00020!

    0.00203 0.000!651 0.65"3 16!6.0!7 0 0.0002025 0.0002025

    0.0031"13 0.000!615 0.657 165".3!2 0 0.000201 0.000201

    0.003!576 0.000!5" 0.657! 1670.63!3 0 0.00015 0.00015

    0.003731" 0.000!5!5 0.6570 16"2.222 0 0.0001"1 0.0001"1

    0.00!00!1 0.000!511 0.6565 165.2065 0 0.000166 0.000166

    0.00!27!! 0.000!!7" 0.6561 1707.!"7! 0 0.000152 0.000152

    0.0073!66 0.0050"7 0.6510 171.76! 0.002102 0.00013" 0.002267

    0.010!71 0.005157 0.6!5" 1727.1"12 0.00230!5 0.00013 0.002!75

    0.0136!!" 0.0052221 0.6!06 173!.!!35 0.002512! 0.000122 0.00270!6

    0.016"60! 0.0052755 0.6353 17!1.5602 0.0027267 0.00011! 0.0021"1

    0.02011! 0.0053206 0.6300 17!".535 0.002!76 0.000106 0.00313"2

    0.023!01 0.005357 0.62!6 1755.3" 0.003175! 0.0001" 0.0033652

    0.0267175 0.0053"" 0.613 1762.1162 0.003!10! 0.0001"2 0.00356

    0.03005! 0.005!11! 0.613" 176".72"1 0.0036532 0.0001""5 0.003"!170.033!231 0.005!2"6 0.60"! 1775.231! 0.0030!2 0.0001"7" 0.00!02

    0.036"053 0.005!! 0.6030 17"1.632! 0.00!16!2 0.0001"71 0.00!3513

    0.0!0202" 0.005!!61 0.575 17"7.372 0.00!!33" 0.0001"6! 0.00!6202

    0.0!36126 0.005!!73 0.521 17!.151! 0.00!71! 0.0001"5" 0.00!"7

    0.0!7032 0.005!!! 0.5"66 1"00.2"05 0.0050057 0.0001"52 0.00510"

    0.050!5"6 0.005!367 0.5"12 1"06.325 0.0053101 0.0001"!5 0.005!!6

    0.053""" 0.005!255 0.575" 1"12.3032 0.00562"5 0.0001"3 0.005"12!

    v

    dps

    des

    ds

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    21/35

    0.0573237 0.005!11 0.570! 1"1".206 0.005625 0.0001"33 0.0061!5"

    0.06075"1 0.005333 0.5650 1"2!.0!2! 0.006313" 0.0001"27 0.006!65

    0.06!113 0.005372" 0.556 1"2."161 0.0066"!3 0.0001"22 0.006"665

    0.0676215 0.0053!7 0.55!3 1"35.531 0.0070765 0.0001"16 0.00725"1

    0.0710!71 0.00532!! 0.5!" 1"!1.105 0.007!2 0.0001"1 0.00767!

    0.07!!66 0.00526 0.5!36 1"!6.7" 0.007367 0.0001"05 0.00"1172

    0.077"73 0.0052676 0.53"! 1"52.3565 0.00"!115 0.0001" 0.00"5150.0"12"33 0.0052366 0.5331 1"57."6 0.00"215 0.00017! 0.00101

    0.0"!677" 0.00520!1 0.527 1"63.33"1 0.00!71" 0.00017" 0.006507

    0.0""0617 0.0051703 0.522" 1"6".7663 0.01006"! 0.00017"! 0.0102!67

    0.01!3!1 0.005135! 0.5176 1"7!.1561 0.01071"3 0.000177 0.010"61

    0.0!7!3 0.0050! 0.5125 1"7.506 0.011!303 0.000177! 0.0116077

    0.0"1!1! 0.0050626 0.5075 1""!."2" 0.0122151 0.000176 0.01231

    0.101!7!" 0.00502! 0.502! 1"0.116 0.0130"56 0.000176! 0.013261

    0.10!73" 0.00!"67 0.!7! 1"5.3726 0.01!05"2 0.000175 0.01!23!1

    0.10"0" 0.00!!7 0.!25 100.6005 0.015153" 0.000175! 0.015322

    0.1113"6 0.00!0"6 0.!"76 105."013 0.0163"" 0.00017! 0.01657370.11!66 0.00!"6 0.!"27 110.76! 0.017"2"1 0.00017!! 0.01"0025

    0.11716" 0.00!"2 0.!77 116.1271 0.01!""1 0.00017! 0.016621

    0.1211572 0.00!7"" 0.!731 121.25! 0.021!!2 0.0001735 0.0216155

    0.12!3"0" 0.00!7!"6 0.!6"! 126.360 0.02377"! 0.000173 0.023515

    0.1275"72 0.00!70"2 0.!636 131.!!62 0.0266252 0.0001726 0.02677"

    0.130776! 0.00!667" 0.!50 136.511" 0.03017!2 0.0001721 0.0303!63

    0.133!"1 0.00!627! 0.!5!3 1!1.55"" 0.03!7267 0.0001717 0.03!""3

    0.1371021 0.00!5"71 0.!!" 1!6.5""1 0.0!07"5 0.0001712 0.0!0563

    0.1!023"! 0.00!5!6" 0.!!52 151.6005 0.0!2533 0.000170" 0.0!!2!1

    0.1!3356" 0.00!5067 0.!!07 156.56" 0.0613" 0.000170! 0.0621102

    0.1!6!572 0.00!!66" 0.!362 161.577" 0.0"3063! 0.00016 0.0"3233!

    0.1!535 0.00!!27 0.!31" 166.5!!1 0.1252"1! 0.000165 0.125!50

    0.152603" 0.00!3"75 0.!27! 171.!6! 0.251"71 0.000161 0.2520!"2

    0.1556!"! 0.00!3!5" 0.!231 176.!35! 2"1.0" 0.00016"7 2"1.007

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    22/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    23/35

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    24/35

    lai e lec %up. #scoamento

    p' e (iso) e (lec) ldr p' q

    0 0 0.00 0.0122!7!

    0.0002171 50 0.27 0."26! 1.00 12.206562

    0.000!325 52.5 0.7"1 0."11" 2.00 17.20!655

    0.0006!62 55 0.6!2 0.77" 3.00 21

    0.000"5"2 57.5 0.50" 0.7"!5 !.00 2!.16605

    0.00106"6 60 0.3"1 0.7717 5.00 26.25"27

    0.0012773 62.5 0.25" 0.755 6.00 2.33"7

    0.001!"!5 65 0.1!0 0.7!77 7.00 31.63"5"6

    0.001601 67.5 0.027 0.736! ".00 33.70!601

    0.001"!1 70 0."1" 0.7255 .00 35.62302"

    0.002066 72.5 0.""13 0.71! 10.00 37.!16576

    0.002276 75 0."711 0.70!" 11.00 3.102!31

    0.002!71 77.5 0."613 0.6! 12.00 !0.63"1

    0.002652 "0 0."517 0.6"5! 13.00 !2.201"7

    0.002"1" "2.5 0."!25 0.6762 1!.00 !3.63!"5

    0.0030"71 "5 0."336 0.6672 15.00 !5

    0.0053"3" "7.5 0."2! 0.65"5 16.00 !6.3033!

    0.007""13 0 0."16! 0.6501 17.00 !7.5!75

    0.0105"5" 2.5 0."0"2 0.6!1" 1".00 !".7!!232

    0.013503 5 0."002 0.633" 1.00 !.""""

    0.0166!21 7.5 0.72! 0.6260 20.00 50.016

    0.0200073 100 0.7"!" 0.61"! 21.00 52.0!"056

    0.023606 102.5 0.777! 0.6110 22.00 53.065"

    0.027!!"6 105 0.7702 0.603" 23.00 5!.0!62770.0315!06 107.5 0.7631 0.56" 2!.00 5!.00

    0.035"1" 110 0.7562 0.5" 25.00 55.017

    0.0!05121 112.5 0.7!5 0.5"31 26.00 56.7"027

    0.0!5!11" 115 0.7!2 0.5765 27.00 57.62"11

    0.0506026 117.5 0.736! 0.5701 2".00 5".!!655"

    0.056072 120 0.7301 0.563" 2.00 5.236"1!

    0.06107 122.5 0.723 0.5576 30.00 60

    s

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    25/35

    0.06"0555 125 0.717 0.5515 31.00 60.73713

    0.07!552 127.5 0.711 0.5!56 32.00 61.!!167

    0.0"1!1"5 130 0.7061 0.537 33.00 62.136!6

    0.0""6766 132.5 0.700! 0.53!0 3!.00 62."01275

    0.063506 135 0.6!" 0.52"! 35.00 63.!!2"""

    0.10!!67 137.5 0.6"3 0.522 36.00 6!.062!7

    0.113053 1!0 0.6"3 0.5175 37.00 6!.6606530.1221603 1!2.5 0.67"6 0.5122 3".00 65.23"026

    0.131"11 1!5 0.6733 0.5070 3.00 65.75137

    0.1!20577 1!7.5 0.66"2 0.501 !0.00 66.332!6

    0.15253 150 0.6632 0.!6" !1.00 66."505"

    0.16!5616 152.5 0.65"2 0.!1 !2.00 67.3!"33

    0.176535 155 0.6533 0.!"70 !3.00 67."30672

    0.10215! 157.5 0.6!"5 0.!"22 !!.00 6".23!"5

    0.20!!!5 160 0.6!3" 0.!77! !5.00 6".73"636

    0.2177"6 162.5 0.632 0.!72" !6.00 6.166!66

    0.2363523 165 0.63!6 0.!6"2 !7.00 6.577260.25!35! 167.5 0.6301 0.!637 !".00 6.71!23

    0.27!016 170 0.6256 0.!53 !.00 70.3!13

    0.25632! 172.5 0.6212 0.!5! 50.00 70.71067"

    0.315"3 175 0.616 0.!506 51.00 71.056316

    0.3!63"17 177.5 0.6127 0.!!63 52.00 71.3"627!

    0.37672" 1"0 0.60"5 0.!!21 53.00 71.700767

    0.!11626! 1"2.5 0.60!3 0.!3"0 5!.00 72

    0.!525"26 1"5 0.6002 0.!33 55.00 72.2"!162

    0.5020067 1"7.5 0.562 0.!2 56.00 72.553!2

    0.56!116 10 0.522 0.!25 57.00 72."0767

    0.6!73503 12.5 0.5""3 0.!220 5".00 73.0!73

    0.772"012 15 0.5"!5 0.!1"1 5.00 73.273!61

    1.02!"!! 17.5 0.5"06 0.!1!3 60.00 73.!"!62

    2"2.1232 200 0.576 0.!105 61.00 73.6"17!"

    202.5 0.5731 0.!06" 62.00 73."6!7!1

    205 0.565 0.!031 63.00 7!.033776

    207.5 0.565" 0.35 6!.00 7!.1""!"

    210 0.5622 0.35 65.00 7!.3303!!

    212.5 0.55"7 0.323 66.00 7!.!5"0!2

    215 0.5552 0.3""" 67.00 7!.572113

    217.5 0.5517 0.3"53 6".00 7!.67261

    220 0.5!"3 0.3"1 6.00 7!.75615

    222.5 0.5!! 0.37"5 70.00 7!."331!"

    225 0.5!15 0.3752 71.00 7!."3257

    227.5 0.53"2 0.371 72.00 7!.376

    230 0.53! 0.36"6 73.00 7!.7332

    232.5 0.5317 0.3653 7!.00 7!.3333

    235 0.52"5 0.3621 75.00 75

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    26/35

    237.5 0.5253 0.35" 76.00 7!.3333

    2!0 0.5222 0.355" 77.00 7!.7332

    2!2.5 0.511 0.3527 7".00 7!.376

    2!5 0.5160 0.3!6 7.00 7!."3257

    2!7.5 0.512 0.3!66 "0.00 7!."331!"

    250 0.50 0.3!36 "1.00 7!.75615

    252.5 0.506 0.3!06 "2.00 7!.67261255 0.50!0 0.3376 "3.00 7!.572113

    257.5 0.5010 0.33!7 "!.00 7!.!5"0!2

    "5.00 7!.3303!!

    "6.00 7!.1""!"

    "7.00 7!.033776

    "".00 73."6!7!1

    ".00 73.6"17!"

    0.00 73.!"!62

    1.00 73.273!6

    2.00 73.0!723.00 72."0766

    !.00 72.553!2"

    5.00 72.2"!161

    6.00 72

    7.00 71.700767

    ".00 71.3"6273

    .00 71.056315

    100.00 70.71067"

    101.00 70.3!12

    102.00 6.71!22

    103.00 6.57725

    10!.00 6.166!65

    105.00 6".73"635

    106.00 6".23!"!

    107.00 67."30671

    10".00 67.3!"32

    10.00 66."5057

    110.00 66.332!5

    111.00 65.75136

    112.00 65.23"025

    113.00 6!.660652

    11!.00 6!.062!6

    115.00 63.!!2""7

    116.00 62."01273

    117.00 62.136!5

    11".00 61.!!165

    11.00 60.73713"

    120.00 60

  • 7/25/2019 Trabalho Final Elasto Plasticidade

    27/35

    121.00 5.236"12

    122.00 5".!!6556

    123.00 57.62"117

    12!.00 56.7"0277

    125.00 55.016

    126.00 5!.007

    127.00 5!.0!627612".00 53.0656

    12.00 52.0!"05!

    130.00 50.01!

    131.00 !."""7"

    132.00 !".7!!22

    133.00 !7.5!72

    13!.00 !6.3033!6

    135.00 !5

    136.00 !3.63!"!7

    137.00 !2.201"!13".00 !0.637"

    13.00 3.102!2"

    1!0.00 37.!16572

    1!1.00 35.62302!

    1!2.00 33.70!57

    1!3.00 31.63"5"2

    1!!.00 2.33"75

    1!5.00 26.25"21

    1!6.00 2!.1660"

    1!7.00 21

    1!".00 17.20!6!6

    1!.00 12.20655

    150.00 0.122!7!!

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    &ina de #stado (.

    p' q'

    0.00 0.000001

    5.00 5.000001

    10.00 10.000001

    15.00 15.000001

    20.00 20.000001

    25.00 25.000001

    30.00 30.000001

    35.00 35.000001

    !0.00 !0.000001

    !5.00 !5.000001

    50.00 50.000001

    55.00 55.000001

    60.00 60.000001

    65.00 65.000001

    70.00 70.000001

    75.00 75.000001

    "0.00 "0.000001

    "5.00 "5.000001

    0.00 0.000001

    5.00 5.000001

    100.00 100

    105.00 105

    110.00 110

    115.00 115120.00 120

    125.00 125

    130.00 130

    135.00 135

    1!0.00 1!0

    1!5.00 1!5

    150.00 150

    0.0 50.0

    50

    100

    150

    200

    250

    115.0 120.0 125.0 130.0 10.5200

    0.5!00

    0.5600

    0.5"00

    0.6000

    0.6200

    0.6!00

    0.6600

    0.6"00

    ('art

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    155.00 155

    160.00 160

    165.00 165

    170.00 170

    175.00 175

    1"0.00 1"0

    1"5.00 1"510.00 10

    15.00 15

    200.00 200

    205.00 205

    210.00 210

    215.00 215

    220.00 220

    225.00 225

    230.00 230

    235.00 2352!0.00 2!0

    2!5.00 2!5

    250.00 250

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    no

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    no

    no

    no

    no

    no

    no

    nono

    no

    no

    no

    no

    no

    no

    aqu+

    aqu+

    aqu+aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

    aqu+

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    0 100.0 150.0 200.0 250.0

    ('art )itle

    5.0 1!0.0 1!5.0 150.0 155.0

    )itle

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