C:\Docstoc\Working\pdf\[322c1c0f-3d0c-4db1-baea-0beda9ced7c5.xls]Explanation
Look at the worksheet SGN420 - 337 ksi to understand these notes
This data sheet was done in ksi, to compare against provided graphs.
OVERVIEW
Data from Ford (& other databases) on fatigue expresses the fatigue-related properties
in terms of a set of coefficients. These are well explained in MSC-Fatigue notes.
We have linear analysis, want to account for non-linear behaviour. Hence need to use the Neuber
approximation to make an allowance for the fact that "real", plastic stresses will be lower than the ones
calculated in a linear FEA job.
The light-yellow shaded cells are the data input from these databases.
The light-brown shaded cells are user-selected values, to give sensible plot
ranges etc.
The data in columns L,M,N is just to plot the monotonic & cyclic Stress-strain curves,
based on the various input parameters supplied.
The strain-life plot is also built directly from the supplied input data (light green calculation cells)
All references state that it is not possible to go through the Neuber correction for plasticity
'directly': they state that this must be an iterative process. This may be true if we are starting from
the FE elastic analysis results, BUT these pages start from a choice of # cycles(N), or number of
reversals ( =2N).
Column F is doing the neuber calc via the 'iterative' process. Here, it's actually using a look up
table to give values of [stress*strain]. This is why - on this sheet only - columns L to Q are so long.
The method is to find the strs*strn (col O) corresponding to the total strain amplitude in col E
Then, having got this strs*strn value, we can derive the equivalent elastic stress (col G) simply
as stress = E*strn, so strs*strn * E = [strs*strs]elastic, so mult col F by E, root it to get elastic
equivalent stress (col G). This is not 100% accurate unless the look up table is very fine divisions,
but proves the method (see "Neuber S-N" plot in S-N curve)
Column H is finding the 'real' stress (as would be found in an elastic-plastic FE analysis) via a
look-up table, from the total strn ampl value in column E, looking for the same value in the cyclic
stress-strain table (col N), and simply seeing what ("real") stress it came from (column Q, only there
because the VLOOKUP function has to look in column 1, can't select it's value from a lower column than this)
Column I is a better way of getting the "real" (Plastic calc'd) stress. This relies on the fact that
the total strn ampl. Is made of separate elast & plast bits, so can easily find 'true' stress just by considering
it's elastic bit, FOR THIS life row.
Columns J,K do a similar thing for the Neuber stress. They rely on the fact that, for this chosen 'life' (e.g., row 11)
we know both the total strn ampl., and the real stress, so can get strs*strn directly, without the lookup method
of column F. Having got this, then getting the neuber stress (col K) from col J is as for getting col G from col F.
The text books don't explain how this can be done, BUT the values compare well, and actually agree better
with data as provided by landrover / dana (job 4059 / 4023).
The whole object of all this is to get S-N curves for the cases when we're working from FE calculated stresses.
On all other data sheets, which use the SI numbers, the blue shaded cells provide the S-N curves
to be used in GETSTR or similar. Use the top ones if the analysis was linear, the lower ones if the analysis
was a 'good', elasto-plastic job.
BEWARE everywhere the convention of using strain AMPLITUDE, but stress RANGE in the plots! Also
the use of REVERSALS in the X axes : the blue output data is in our (LSC) convention of stress amplitude vs cycles.
REFERENCES
MSC-fatigue on-line documentation, "Mscfatigue.pdf", Chap 14 [pages (approx) 1260+], esp equns 14-71
and 14-77
A B C D E F G H I J K L M N O P Q
1 C:\Docstoc\Working\pdf\[322c1c0f-3d0c-4db1-baea-0beda9ced7c5.xls]SGN420 - 337 ksi
2 1 ksi = 6.89E+00 Mpa
3 1298.00
4 sigF b ef c E K' n' K n
5 SI 649 -0.0816 0.104 -0.5657 155000 899 0.1442 480 0.1
6 ksi 94.1295 -0.0816 0.104 -0.5657 22480.85 130.4 0.1442 69.6 0.1
7
8
9 0.004187
Elas tot strn Cyc Neuber S- nom Monotoni Cyclic Elastic Nom
10 2Nf Ampl Plas Ampl Ampl. sts*strn N plastic Stress True SN neuber 2 stress c Cyclic Str.STrn Strn Stress
11 1 0.004187 0.104 0.108187 10.10588 953.2865 188 188.3 10.1836 956.945
12 10 0.00347 0.02827 0.03174 1.154346 322.1843 140 156.0 2.475925 471.8513
13 100 0.002875 0.007685 0.01056 0.435713 197.9415 120 129.3 0.682657 247.7636 0 0 0 0 0 0
14 1000 0.002383 0.002089 0.004472 0.176062 125.8258 100 107.1 0.239563 146.7729 1 4.45E-05 4.45E-05 4.45E-05 4.45E-05 1
15 10000 0.001975 0.000568 0.002543 0.109638 99.29244 88 88.8 0.112877 100.7485 2 8.9E-05 8.9E-05 0.000178 8.9E-05 2
16 1.00E+05 0.001636 0.000154 0.001791 0.062434 74.92874 72 73.6 0.065885 76.97126 3 0.000133 0.000133 0.0004 0.000133 3
17 1.00E+06 0.001356 4.2E-05 0.001398 0.04236 61.71821 60.8 61.0 0.042626 61.91166 4 0.000178 0.000178 0.000712 0.000178 4
18 5 0.000222 0.000222 0.001112 0.000222 5
19 6 0.000267 0.000267 0.001601 0.000267 6
20 7 0.000311 0.000311 0.00218 0.000311 7
21 Strain-Life 8 0.000356
S-N Curve 0.000356 0.002847 0.000356 8
22 9 0.0004 0.0004 0.003603 0.0004 9
23 10 0.000445 0.000445 0.004448 0.000445 10
24 0.1 1000 11 0.000489 0.000489 0.005383 0.000489 11
25 12 0.000534 0.000534 0.006406 0.000534 12
26 13 0.000578 0.000578 0.007519 0.000578 13
27 14 0.000623 0.000623 0.008721 0.000623 14
28 15 0.000667 0.000668 0.010013 0.000667 15
29 16 0.000712 0.000712 0.011395 0.000712 16
Stress RANGE (sig - R, ksi)
Strain AMPLITUDE
30 0.01 17 0.000757 0.000757 0.012868 0.000756 17
31 18 0.000802 0.000802 0.014432 0.000801 18
32 19 0.000847 0.000847 0.016088 0.000845 19
33 20 0.000893 0.000892 0.017838 0.00089 20
100
34 21 0.00094 0.000937 0.019683 0.000934 21
35 22 0.000989 0.000983 0.021626 0.000979 22
36 Plas Ampl 23 0.001039 0.001029 0.023668 0.001023 23
0.001
37 Elas Ampl 24 0.001091 0.001076 0.025814 0.001068
Neuber S-N 24
38 tot strn Ampl. 25 0.001148 0.001123 0.028066 0.001112 25
True SN
39 26 0.001209 0.00117 0.030432 0.001157 26
40 neuber 2 0.001278 0.001219 0.032916 0.001201
27 27
41 28 0.001357 0.001269 0.035526 0.001246 28
42 0.0001 29 0.001448 0.00132 0.03827 0.00129 29
43 1 10 100 1000 10000 100000 1000000 10 30 0.001556 0.001372 0.04116 0.001334 30
44 1.E+00 1.E+01 30.1
1.E+02 0.001568 0.001377 0.041458 0.001339
1.E+03 1.E+04 1.E+05 1.E+06 30.1
45 No. REVERSALS (2N) 30.2 0.00158 0.001383 0.041757 0.001343 30.2
No. REVERSALS (2N)
46 30.3 0.001592 0.001388 0.042058 0.001348 30.3
47 30.4 0.001605 0.001393 0.04236 0.001352 30.4
48 30.5 0.001618 0.001399 0.042664 0.001357 30.5
49 70 30.6 0.001631 0.001404 0.042969 0.001361 30.6
50 30.7 0.001644 0.00141 0.043277 0.001366 30.7
51 30.8 0.001658 0.001415 0.043585 0.00137 30.8
60
52 Cyclic 31 0.001686 0.001426 0.044208 0.001379 31
53 32 0.001846 0.001482 0.047429 0.001423 32
Monotonic
54 50 33 0.002042 0.001541 0.05084 0.001468 33
55 34 0.002286 0.001602 0.054462 0.001512 34
56 35 0.002591 0.001666 0.058318 0.001557 35
57 40 36 0.002972 0.001734 0.062434 0.001601 36
58 37 0.003449 0.001807 0.066844 0.001646 37
59 38 0.004044 0.001884 0.071582 0.00169 38
60 30 39 0.004787 0.001966 0.076689 0.001735 39
61 40 0.00571 0.002055 0.082212 0.001779 40
62 41 0.006856 0.002151 0.088205 0.001824 41
20
63 42 0.008272 0.002255 0.094727 0.001868 42
64 43 0.010015 0.002369 0.101846 0.001913 43
65 10
44 0.012153 0.002492 0.109638 0.001957 44
66 45 0.014767 0.002626 0.118188 0.002002 45
67 50 0.038835 0.003521 0.176062 0.002224 50
68 0 60 0.229353 0.007262 0.435713 0.002669 60
69 0 0.0025 0.005 0.0075 0.01 70 1.062094 0.016491 1.154346 0.003114 70
70 80 4.028944 0.037328 2.98621 0.003559 80
71 90 13.07572 0.080431 7.238817 0.004003 90
1000
72 91 14.60299 0.086563 7.877194 0.004048 91
73 92 16.28902 0.093104 8.56557 0.004092 92
900
74 93 18.14831 0.100078 9.30729 0.004137 93
75 800 Cyclic 94 20.1965 0.107509 10.10588 0.004181 94
76 Elastic Strn 95 22.45047 0.115422 10.96507 0.004226 95
77 700
96 24.9284 0.123841 11.88876 0.00427 96
78 97 27.64985 0.132795 12.88111 0.004315 97
79 600 98 30.63587 0.142311 13.94644 0.004359 98
80 100 37.49377 0.163146 16.31462 0.004448 100
81 500 125 349.1521 0.751364 93.92044 0.00556 125
82 150 2161.83 2.647447 397.1171 0.006672 150
83 400 175 10099.23 7.698998 1347.325 0.007784 175
84 200 38389.08 19.42482 3884.965 0.008896 200
85 300 225 124661.6 43.95317 9889.463 0.010009 225
86 250 357526.1 91.25651 22814.13 0.011121 250
87 200 275 927330.5 176.7224 48598.65 0.012233 275
88 300 2213707 323.0993 96929.78 0.013345 300
89 100 325 4928800 562.8568 182928.5 0.014457 325
90 350 10341607 940.998 329349.3 0.015569 350
91 0 375 20616754 1518.363 569386.1 0.016681 375
92 0 0.02 0.04 0.06 0.08 0.1 400 39310405 2375.462 950184.7 0.017793 400
93 425 72077034 3616.874 1537171 0.018905 425
94 450 1.28E+08 5376.252 2419313 0.020017 450
95 475 2.19E+08 7821.97 3715436 0.021129 475
96 500 3.66E+08 11163.45 5581725 0.022241 500
97 525 5.96E+08 15658.21 8220559 0.023353 525
98 550 9.5E+08 21619.65 11890806 0.024465 550
99 575 1.48E+09 29425.65 16919751 0.025577 575
100 600 2.27E+09 39528.01 23716809 0.026689 600
101 625 3.41E+09 52462.7 32789186 0.027801 625
102 650 5.05E+09 68861.04 44759677 0.028913 650
103 675 7.36E+09 89461.88 60386769 0.030026 675
104 700 1.06E+10 115124.6 80587247 0.031138 700
105 725 1.5E+10 146843.4 1.06E+08 0.03225 725
106 750 2.11E+10 185762.3 1.39E+08 0.033362 750
107 775 2.93E+10 233191.3 1.81E+08 0.034474 775
108 800 4.03E+10 290624 2.32E+08 0.035586 800
109 825 5.48E+10 359756 2.97E+08 0.036698 825
110 850 7.38E+10 442504.6 3.76E+08 0.03781 850
111 875 9.86E+10 541029.5 4.73E+08 0.038922 875
112 900 1.31E+11 657755.7 5.92E+08 0.040034 900
113 925 1.72E+11 795396.2 7.36E+08 0.041146 925
114 950 2.24E+11 956977.3 9.09E+08 0.042258 950
115 975 2.91E+11 1145865 1.12E+09 0.04337 975
116 1000 3.75E+11 1365791 1.37E+09 0.044482 1000
117 1025 4.8E+11 1620885 1.66E+09 0.045594 1025
118 1050 6.11E+11 1915703 2.01E+09 0.046706 1050
119 1075 7.73E+11 2255257 2.42E+09 0.047818 1075
120 1100 9.72E+11 2645055 2.91E+09 0.048931 1100
121 1125 1.22E+12 3091131 3.48E+09 0.050043 1125
122 1150 1.52E+12 3600082 4.14E+09 0.051155 1150
123 1175 1.88E+12 4179109 4.91E+09 0.052267 1175
124 1200 2.32E+12 4836057 5.8E+09 0.053379 1200
125 1225 2.85E+12 5579452 6.83E+09 0.054491 1225
126 1250 3.49E+12 6418552 8.02E+09 0.055603 1250
127 1275 4.26E+12 7363387 9.39E+09 0.056715 1275
128 1300 5.17E+12 8424809 1.1E+10 0.057827 1300
129 1325 6.25E+12 9614539 1.27E+10 0.058939 1325
130 1350 7.54E+12 10945221 1.48E+10 0.060051 1350
131 1375 9.06E+12 12430470 1.71E+10 0.061163 1375
132 1400 1.08E+13 14084934 1.97E+10 0.062275 1400
133 1425 1.29E+13 15924343 2.27E+10 0.063387 1425
134 1450 1.54E+13 17965575 2.61E+10 0.064499 1450
135 1475 1.83E+13 20226713 2.98E+10 0.065611 1475
136 1500 2.16E+13 22727107 3.41E+10 0.066723 1500
137 1525 2.55E+13 25487445 3.89E+10 0.067836 1525
138 1550 3E+13 28529814 4.42E+10 0.068948 1550
139 1575 3.52E+13 31877774 5.02E+10 0.07006 1575
140 1600 4.12E+13 35556427 5.69E+10 0.071172 1600
141 1625 4.81E+13 39592494 6.43E+10 0.072284 1625
142 1650 5.61E+13 44014389 7.26E+10 0.073396 1650
143 1675 6.52E+13 48852301 8.18E+10 0.074508 1675
144 1700 7.56E+13 54138269 9.2E+10 0.07562 1700
145 1725 8.75E+13 59906275 1.03E+11 0.076732 1725
146 1750 1.01E+14 66192321 1.16E+11 0.077844 1750
147 1775 1.16E+14 73034523 1.3E+11 0.078956 1775
148 1800 1.34E+14 80473201 1.45E+11 0.080068 1800
149 1825 1.54E+14 88550970 1.62E+11 0.08118 1825
150 1850 1.76E+14 97312843 1.8E+11 0.082292 1850
151 1875 2.01E+14 1.07E+08 2E+11 0.083404 1875
152 1900 2.3E+14 1.17E+08 2.22E+11 0.084516 1900
153 1925 2.62E+14 1.28E+08 2.47E+11
154 1950 2.98E+14 1.4E+08 2.73E+11
155 1975 3.39E+14 1.53E+08 3.02E+11
156 2000 3.84E+14 1.67E+08 3.34E+11
157 2025 4.35E+14 1.82E+08 3.69E+11
SI Units C:\Docstoc\Working\pdf\[322c1c0f-3d0c-4db1-baea-0beda9ced7c5.xls]SGN420 - 337 SI For GETSTR input
1 ksi = 6.89E+00 Mpa OUTPUTS NEUBER (to get 'ELAST-PLAST' from Elastic only analysis Damage Interpolator
INPUTS N (CYCLES) Stress AMPL
sigF b ef c E K'
n' K n 5.00E-01 3298.952 2000 2.551223982
SI 649 -0.0816 0.104 -0.5657 155000
899 0.1442 480 0.1 5.00E+00 1626.65 1000 28.45894555
ksi 94.1295 -0.0816 0.104 130.4
-0.5657 22480.85 0.1442 69.6 0.1 5.00E+01 854.1351 600 236.3026396
5.00E+02 505.9819 375.657 3093.924601
Choose these ranges to give sensible plots / results ranges 5.00E+03 347.3182 345.016 5292.675469
5.00E+04 265.3491 265.35 49998.15697
Elas Plas tot strn Stress* nom Monotoni
2Nf Ampl Ampl Ampl. True SN Strain Neuber stress c Cyclic 5.00E+05 213.4329 2006 2.43985E-06
1 0.004187 0.104 0.108187 1298.0 70.21343 6597.903 0 0 0 5.00E+06 175.0803 2007 0.001074617
10 0.00347 0.02827 0.03174 1075.7 17.0709 3253.299957 10 6.45E-05 6.45E-05 1.00E+03 445.185
100 0.002875 0.007685 0.01056 891.4 4.706753 1708.270143 20 0.000129 0.000129
1000 0.002383 0.002089 0.004472 738.7 1.651727 1011.963753 30 0.000194 0.000194 REAL' (to be used after Elast-Plast FE solution)
10000 0.001975 0.000568 0.002543 612.2 0.778258 694.636376 40 0.000258 0.000258 0.5 649
1.00E+05 0.001636 0.000154 0.001791 507.3 0.454259 530.6981503 50 0.000323 0.000323 5 537.8296
1.00E+06 0.001356 4.2E-05 0.001398 420.4 0.293894 426.8658266 60 0.000387 0.000387 50 445.7021
1.00E+07 0.001124 1.14E-05 0.001135 348.4 0.197762 350.1606961 70 0.000452 0.000452 500 369.3556
2.00E+03 0.002252 0.001411 0.003663 698.1 1.278643 890.3700589 80 0.000516 0.000516 5000 306.0869
90 0.000581 0.000581 50000 253.6557
100 0.000645 0.000645 500000 210.2058
110 0.00071 0.00071 5000000 174.1986
120 0.000775 0.000775 1000 349.0444
130 0.000841 0.00084
140 0.000908 0.000906
S-N Curve
Strain-Life 150 0.000977 0.000972
160 0.001049 0.001039
170 0.001128 0.001106
10000
0.1 180 0.001216 0.001176
190 0.00132 0.001247
200 0.001448 0.00132
210 0.001612 0.001397
220 0.001828 0.001477
Stress RANGE (sig - R, MPa)
230 0.002122 0.001562
Strain AMPLITUDE
0.01 240 0.002525 0.001654
250 0.003082 0.001753
260 0.003852 0.001861
270 0.004913 0.001981000
280 0.006369 0.002113
290 0.008351 0.002262
0.001 300 0.01103 0.00243
Plas Ampl 310 0.014624 0.002621 True SN
Elas Ampl 320 0.019406 0.002839 Neuber
330 0.025719 0.003088
tot strn Ampl.
340 0.03399 0.003373
350 0.044746 0.0037
360 0.058636 0.004075
0.0001 100
370 0.076451 0.0045071.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06
1 10 100 1000 10000 100000 1000000 380 0.099151 0.005002
390 0.127898 0.005569 No. REVERSALS (2N)
No. REVERSALS (2N)
400 0.164086 0.00622
410 0.209386 0.006964
420 0.265785 0.007814
550 Stress - Strain Curves
430 0.335642 0.008784
440 0.421743 0.009887
500
450 0.527364 0.01114
450 460 0.656348 0.012561
470 0.813184 0.014168
400 480 1.003097 0.015983
490 1.232152 0.018029
350 500 1.507364 0.020329
Cyclic
Stress (MPa)
300 Monotonic
250
200
150
100
50
0
0 0.0025 0.005 0.0075 0.01
Strain
SI Units
1 ksi = 6.89E+00 Mpa
INPUTS
sigF b ef c E K' n' K
SI 986.6113 -0.0892 0.5598 -0.7181 167222.3 843.73 0.0983
ksi 1.43E+02 -0.0892 0.5598 -0.7181 2.43E+04 1.22E+02 0.0983
Choose these ranges to give sensible plots / results ranges
tot strn Stress*
2Nf Elas Ampl Plas Ampl Ampl. True SN Strain Neuber
1 0.0059 0.5598 0.5657 1973.2 558.126 19321.60606
10 0.004805 0.107135 0.11194 1606.9 89.93548 7756.086121
100 0.003912 0.020504 0.024416 1308.5 15.97439 3268.806777
1000 0.003186 0.003924 0.00711 1065.6 3.788093 1591.795898
10000 0.002594 0.000751 0.003345 867.7 1.451457 985.324247
1.00E+05 0.002113 0.000144 0.002256 706.6 0.797224 730.2426371
1.00E+06 0.00172 2.75E-05 0.001748 575.4 0.502905 579.989681
1.00E+07 0.001401 5.26E-06 0.001406 468.6 0.329478 469.451195
2.00E+03 0.002995 0.002385 0.00538 1001.7 2.694706 1342.557264
Strain-Life
0.1
Strain AMPLITUDE
0.01
220
230
240
250
260
270
0.001
Plas Ampl 280
290
Elas Ampl
300
tot strn Ampl. 310
320
330
0.0001 340
1 10 100 1000 10000 100000 1000000 350
360
No. REVERSALS (2N)
370
380
390
400
410
420
Stress - Strain Curves
430
550
440
500 450
460
450 470
Cyclic 480
400
Monotonic 490
350 500
Stress (MPa)
300
250
200
150
100
50
0
0 0.0025 0.005 0.0075 0.01
Strain
For GETSTR input
OUTPUTS NEUBER (to get 'ELAST-PLAST' from Elastic only analysis)
Stress AMPL
N (CYCLES)
n 5.00E-01 9660.803
5.00E+00 3878.043
5.00E+01 1634.403
5.00E+02 795.8979
5.00E+03 492.6621
5.00E+04 365.1213
nom
stress Monotonic Cyclic 5.00E+05 289.9948
0 #DIV/0! 0 5.00E+06 234.7256
10 #DIV/0! 5.98E-05 1.00E+03 671.2786
20 #DIV/0! 0.00012
30 #DIV/0! 0.000179 REAL' (to be used after Elast-Plast FE solution)
40 #DIV/0! 0.000239 0.5 986.6113
50 #DIV/0! 0.000299 5 803.4264
60 #DIV/0! 0.000359 50 654.2535
70 #DIV/0! 0.000419 500 532.7778
80 #DIV/0! 0.000478 5000 433.8565
90 #DIV/0! 0.000538 50000 353.302
100 #DIV/0! 0.000598 500000 287.7041
110 #DIV/0! 0.000658 5000000 234.2859
120 #DIV/0! 0.000718 1000 500.8345
130 #DIV/0! 0.000777
140 #DIV/0! 0.000837
S-N Curve
150 #DIV/0! 0.000897
160 #DIV/0! 0.000957
170 #DIV/0! 0.001017
10000
180 #DIV/0! 0.001077
190 #DIV/0! 0.001136
200 #DIV/0! 0.001196
210 #DIV/0! 0.001257
220 #DIV/0! 0.001317
Stress RANGE (sig - R, MPa)
230 #DIV/0! 0.001377
240 #DIV/0! 0.001438
250 #DIV/0! 0.001499
260 #DIV/0! 0.001561
270 #DIV/0! 1000
0.001624
280 #DIV/0! 0.001688
290 #DIV/0! 0.001753
300 #DIV/0! 0.001821
310 #DIV/0! 0.001892 True SN
320 #DIV/0! 0.001966 Neuber
330 #DIV/0! 0.002045
340 #DIV/0! 0.00213
350 #DIV/0! 0.002223
360 #DIV/0! 0.002325
100
370 #DIV/0! 0.002441
1.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06
380 #DIV/0! 0.002572
390 #DIV/0! 0.002722 No. REVERSALS (2N)
400 #DIV/0! 0.002896
000
410 #DIV/0! 0.0031
420 #DIV/0! 0.00334
430 #DIV/0! 0.003623
440 #DIV/0! 0.00396
450 #DIV/0! 0.004362
460 #DIV/0! 0.00484
470 #DIV/0! 0.005411
480 #DIV/0! 0.006092
490 #DIV/0! 0.006903
500 #DIV/0! 0.007869
stic only analysis)
1.E+06
SI Units C:\Docstoc\Working\pdf\[322c1c0f-3d0c-4db1-baea-0beda9ced7c5.xls]AL LM24 A380 For GETSTR input
1 ksi = 6.89E+00 Mpa EG-R-5/0013/02 AlSi9Cu3Fe OUTPUTS NEUBER (to get 'ELAST-PLAST' from Elastic only analysis Damage Interpolator
INPUTS N (CYCLES) Stress AMPL
sigF b ef c E K' n' K n 5.00E-01 3677.486 2000 1.620250472
SI 441.8 -0.0997 0.3732 -0.9754 80839 330.4 0.0525 5.00E+00 1115.589 1000 6.450429779
5.00E+01 415.0145 600 10.7281505
5.00E+02 239.0949 375.657 14.46777722
Choose these ranges to give sensible plots / results ranges 5.00E+03 178.2524 345.016 8.570465904
5.00E+04 140.3929 265.35 87.24942171
Elas Plas tot strn Stress* nom Monotoni
2Nf Ampl Ampl Ampl. True SN Strain Neuber stress c Cyclic 5.00E+05 111.4572 2006 1.31222E-07
1 0.005465 0.3732 0.378665 883.6 167.2943 7354.971695 0 #DIV/0! 0 5.00E+06 88.58021 2007 5.5932E-07
10 0.004344 0.039495 0.043839 702.4 15.39527 2231.177702 10 #DIV/0! 0.000124 1.00E+03 215.9697
100 0.003453 0.00418 0.007633 558.3 2.130619 830.0290977 20 #DIV/0! 0.000247
1000 0.002745 0.000442 0.003187 443.8 0.707163 478.1898182 30 #DIV/0! 0.000371 REAL' (to be used after Elast-Plast FE solution)
10000 0.002182 4.68E-05 0.002229 352.7 0.393052 356.5048267 40 #DIV/0! 0.000495 0.5 441.8
1.00E+05 0.001734 4.95E-06 0.001739 280.4 0.24382 280.7857787 50 #DIV/0! 0.000619 5 351.1767
1.00E+06 0.001378 5.24E-07 0.001379 222.9 0.153672 222.9144772 60 #DIV/0! 0.000742 50 279.1423
1.00E+07 0.001096 5.55E-08 0.001096 177.2 0.097063 177.1604202 70 #DIV/0! 0.000866 500 221.8839
2.00E+03 0.002561 0.000225 0.002786 414.1 0.576985 431.9393854 80 #DIV/0! 0.00099 5000 176.3704
90 #DIV/0! 0.001113 50000 140.1928
100 #DIV/0! 0.001237 500000 111.4361
110 #DIV/0! 0.001361 5000000 88.57797
120 #DIV/0! 0.001484 1000 207.068
130 #DIV/0! 0.001608
140 #DIV/0! 0.001732
S-N Curve
Strain-Life 150 #DIV/0! 0.001856
160 #DIV/0! 0.00198
170 #DIV/0! 0.002106
10000
0.1 180 #DIV/0! 0.002236
190 #DIV/0! 0.002377
200 #DIV/0! 0.002544
210 #DIV/0! 0.002776
220 #DIV/0! 0.003154
Stress RANGE (sig - R, MPa)
230 #DIV/0! 0.003853
Strain AMPLITUDE
0.01 240 #DIV/0! 0.005237
250 #DIV/0! 0.008028
260 #DIV/0! 0.013634
1000
270 #DIV/0! 0.024718
280 #DIV/0! 0.046202
290 #DIV/0! 0.086975
0.001 300 #DIV/0! 0.162766
Plas Ampl 310 #DIV/0! 0.30086 True SN
Elas Ampl 320 #DIV/0! 0.547744 Neuber
330 #DIV/0! 0.981272
tot strn Ampl.
340 #DIV/0! 1.72977
350 #DIV/0! 3.001586
360 #DIV/0! 5.130248
0.0001 100
370 #DIV/0! 8.6425741.E+00 1.E+01 1.E+02 1.E+03 1.E+04 1.E+05 1.E+06
1 10 100 1000 10000 100000 1000000 380 #DIV/0! 14.36026
390 #DIV/0! 23.54971 No. REVERSALS (2N)
No. REVERSALS (2N)
400 #DIV/0! 38.14071
410 #DIV/0! 61.04254
420 #DIV/0! 96.59652
300 Stress - Strain Curves
430 #DIV/0! 151.2182
440 #DIV/0! 234.3013
450 #DIV/0! 359.4785
250 460 #DIV/0! 546.3693
470 #DIV/0! 822.9816
480 #DIV/0! 1228.991
200 490 #DIV/0! 1820.189
500 #DIV/0! 2674.474
150
Cyclic
Monotonic
100
50
0
0 0.002 0.004 0.006 0.008 0.01