7/25/2019 Trabalho Final Elasto Plasticidade
1/35
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
7/25/2019 Trabalho Final Elasto Plasticidade
2/35
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
7/25/2019 Trabalho Final Elasto Plasticidade
3/35
7/25/2019 Trabalho Final Elasto Plasticidade
4/35
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
7/25/2019 Trabalho Final Elasto Plasticidade
5/35
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
7/25/2019 Trabalho Final Elasto Plasticidade
6/35
7/25/2019 Trabalho Final Elasto Plasticidade
7/35
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
7/25/2019 Trabalho Final Elasto Plasticidade
8/35
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!!
7/25/2019 Trabalho Final Elasto Plasticidade
28/35
&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
7/25/2019 Trabalho Final Elasto Plasticidade
29/35
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
7/25/2019 Trabalho Final Elasto Plasticidade
30/35
no
7/25/2019 Trabalho Final Elasto Plasticidade
31/35
no
no
no
no
no
no
nono
no
no
no
no
no
no
aqu+
aqu+
aqu+aqu+
aqu+
aqu+
aqu+
aqu+
aqu+
aqu+
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7/25/2019 Trabalho Final Elasto Plasticidade
32/35
0 100.0 150.0 200.0 250.0
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7/25/2019 Trabalho Final Elasto Plasticidade
33/35
7/25/2019 Trabalho Final Elasto Plasticidade
34/35
7/25/2019 Trabalho Final Elasto Plasticidade
35/35
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