Note
Go to the end to download the full example code.
Tension#
Damage simulation for a plate subjected to tension.

/home/docs/checkouts/readthedocs.org/user_builds/easyfea/checkouts/v1.7.1/examples/PhaseField/results/Tension2D/Test/Elas_Isot_Bourdin_AT1_DP_optimMesh 1 : 0.000 µm, [0.00e+00; 0.00e+00], 1:0.035 s, tol=0.00e+00
2 : 0.100 µm, [0.00e+00; 0.00e+00], 1:0.023 s, tol=0.00e+00
3 : 0.200 µm, [0.00e+00; 0.00e+00], 1:0.044 s, tol=0.00e+00
4 : 0.300 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
5 : 0.400 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
6 : 0.500 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
7 : 0.600 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
8 : 0.700 µm, [0.00e+00; 0.00e+00], 1:0.052 s, tol=0.00e+00
9 : 0.800 µm, [0.00e+00; 0.00e+00], 1:0.052 s, tol=0.00e+00
10 : 0.900 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
11 : 1.000 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
12 : 1.100 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
13 : 1.200 µm, [0.00e+00; 0.00e+00], 1:0.054 s, tol=0.00e+00
14 : 1.300 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
15 : 1.400 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
16 : 1.500 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
17 : 1.600 µm, [0.00e+00; 0.00e+00], 1:0.059 s, tol=0.00e+00
18 : 1.700 µm, [0.00e+00; 0.00e+00], 1:0.054 s, tol=0.00e+00
19 : 1.800 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
20 : 1.900 µm, [0.00e+00; 0.00e+00], 1:0.046 s, tol=0.00e+00
21 : 2.000 µm, [0.00e+00; 0.00e+00], 1:0.023 s, tol=0.00e+00
22 : 2.100 µm, [0.00e+00; 0.00e+00], 1:0.042 s, tol=0.00e+00
23 : 2.200 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
24 : 2.300 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
25 : 2.400 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
26 : 2.500 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
27 : 2.600 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
28 : 2.700 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
29 : 2.800 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
30 : 2.900 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
31 : 3.000 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
32 : 3.100 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
33 : 3.200 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
34 : 3.300 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
35 : 3.400 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
36 : 3.500 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
37 : 3.600 µm, [0.00e+00; 0.00e+00], 1:0.059 s, tol=0.00e+00
38 : 3.700 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
39 : 3.800 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
40 : 3.900 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
41 : 4.000 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
42 : 4.100 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
43 : 4.110 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
44 : 4.120 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
45 : 4.130 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
46 : 4.140 µm, [0.00e+00; 0.00e+00], 1:0.054 s, tol=0.00e+00
47 : 4.150 µm, [0.00e+00; 0.00e+00], 1:0.059 s, tol=0.00e+00
48 : 4.160 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
49 : 4.170 µm, [0.00e+00; 0.00e+00], 1:0.052 s, tol=0.00e+00
50 : 4.180 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
51 : 4.190 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
52 : 4.200 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
53 : 4.210 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
54 : 4.220 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
55 : 4.230 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
56 : 4.240 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
57 : 4.250 µm, [0.00e+00; 0.00e+00], 1:0.024 s, tol=0.00e+00
58 : 4.260 µm, [0.00e+00; 0.00e+00], 1:0.023 s, tol=0.00e+00
59 : 4.270 µm, [0.00e+00; 0.00e+00], 1:0.024 s, tol=0.00e+00
60 : 4.280 µm, [0.00e+00; 0.00e+00], 1:0.051 s, tol=0.00e+00
61 : 4.290 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
62 : 4.300 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
63 : 4.310 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
64 : 4.320 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
65 : 4.330 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
66 : 4.340 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
67 : 4.350 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
68 : 4.360 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
69 : 4.370 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
70 : 4.380 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
71 : 4.390 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
72 : 4.400 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
73 : 4.410 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
74 : 4.420 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
75 : 4.430 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
76 : 4.440 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
77 : 4.450 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
78 : 4.460 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
79 : 4.470 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
80 : 4.480 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
81 : 4.490 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
82 : 4.500 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
83 : 4.510 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
84 : 4.520 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
85 : 4.530 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
86 : 4.540 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
87 : 4.550 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
88 : 4.560 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
89 : 4.570 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
90 : 4.580 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
91 : 4.590 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
92 : 4.600 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
93 : 4.610 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
94 : 4.620 µm, [0.00e+00; 0.00e+00], 1:0.037 s, tol=0.00e+00
95 : 4.630 µm, [0.00e+00; 0.00e+00], 1:0.023 s, tol=0.00e+00
96 : 4.640 µm, [0.00e+00; 0.00e+00], 1:0.050 s, tol=0.00e+00
97 : 4.650 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
98 : 4.660 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
99 : 4.670 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
100 : 4.680 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
101 : 4.690 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
102 : 4.700 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
103 : 4.710 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
104 : 4.720 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
105 : 4.730 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
106 : 4.740 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
107 : 4.750 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
108 : 4.760 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
109 : 4.770 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
110 : 4.780 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
111 : 4.790 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
112 : 4.800 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
113 : 4.810 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
114 : 4.820 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
115 : 4.830 µm, [0.00e+00; 0.00e+00], 1:0.054 s, tol=0.00e+00
116 : 4.840 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
117 : 4.850 µm, [0.00e+00; 0.00e+00], 1:0.059 s, tol=0.00e+00
118 : 4.860 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
119 : 4.870 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
120 : 4.880 µm, [0.00e+00; 0.00e+00], 1:0.071 s, tol=0.00e+00
121 : 4.890 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
122 : 4.900 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
123 : 4.910 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
124 : 4.920 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
125 : 4.930 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
126 : 4.940 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
127 : 4.950 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
128 : 4.960 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
129 : 4.970 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
130 : 4.980 µm, [0.00e+00; 0.00e+00], 1:0.052 s, tol=0.00e+00
131 : 4.990 µm, [0.00e+00; 0.00e+00], 1:0.068 s, tol=0.00e+00
132 : 5.000 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
133 : 5.010 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
134 : 5.020 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
135 : 5.030 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
136 : 5.040 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
137 : 5.050 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
138 : 5.060 µm, [0.00e+00; 0.00e+00], 1:0.054 s, tol=0.00e+00
139 : 5.070 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
140 : 5.080 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
141 : 5.090 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
142 : 5.100 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
143 : 5.110 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
144 : 5.120 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
145 : 5.130 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
146 : 5.140 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
147 : 5.150 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
148 : 5.160 µm, [0.00e+00; 0.00e+00], 1:0.043 s, tol=0.00e+00
149 : 5.170 µm, [0.00e+00; 0.00e+00], 1:0.027 s, tol=0.00e+00
150 : 5.180 µm, [0.00e+00; 0.00e+00], 1:0.025 s, tol=0.00e+00
151 : 5.190 µm, [0.00e+00; 0.00e+00], 1:0.023 s, tol=0.00e+00
152 : 5.200 µm, [0.00e+00; 0.00e+00], 1:0.030 s, tol=0.00e+00
153 : 5.210 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
154 : 5.220 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
155 : 5.230 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
156 : 5.240 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
157 : 5.250 µm, [0.00e+00; 0.00e+00], 1:0.033 s, tol=0.00e+00
158 : 5.260 µm, [0.00e+00; 0.00e+00], 1:0.034 s, tol=0.00e+00
159 : 5.270 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
160 : 5.280 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
161 : 5.290 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
162 : 5.300 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
163 : 5.310 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
164 : 5.320 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
165 : 5.330 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
166 : 5.340 µm, [0.00e+00; 0.00e+00], 1:0.057 s, tol=0.00e+00
167 : 5.350 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
168 : 5.360 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
169 : 5.370 µm, [0.00e+00; 0.00e+00], 1:0.028 s, tol=0.00e+00
170 : 5.380 µm, [0.00e+00; 0.00e+00], 1:0.035 s, tol=0.00e+00
171 : 5.390 µm, [0.00e+00; 0.00e+00], 1:0.052 s, tol=0.00e+00
172 : 5.400 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
173 : 5.410 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
174 : 5.420 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
175 : 5.430 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
176 : 5.440 µm, [0.00e+00; 0.00e+00], 1:0.056 s, tol=0.00e+00
177 : 5.450 µm, [0.00e+00; 0.00e+00], 1:0.053 s, tol=0.00e+00
178 : 5.460 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
179 : 5.470 µm, [0.00e+00; 0.00e+00], 1:0.058 s, tol=0.00e+00
180 : 5.480 µm, [0.00e+00; 0.00e+00], 1:0.055 s, tol=0.00e+00
181 : 5.490 µm, [3.22e-11; 2.30e-04], 1:0.053 s, tol=1.00e+00
182 : 5.500 µm, [1.10e-10; 8.12e-04], 1:0.055 s, tol=9.20e-01
183 : 5.510 µm, [1.95e-10; 1.49e-03], 1:0.059 s, tol=7.05e-01
184 : 5.520 µm, [2.78e-10; 2.20e-03], 1:0.059 s, tol=5.41e-01
185 : 5.530 µm, [3.56e-10; 2.92e-03], 1:0.060 s, tol=4.32e-01
186 : 5.540 µm, [4.29e-10; 3.63e-03], 1:0.057 s, tol=3.57e-01
187 : 5.550 µm, [4.97e-10; 4.35e-03], 1:0.056 s, tol=3.04e-01
188 : 5.560 µm, [5.60e-10; 5.07e-03], 1:0.053 s, tol=2.65e-01
189 : 5.570 µm, [6.18e-10; 5.79e-03], 1:0.057 s, tol=2.34e-01
190 : 5.580 µm, [6.71e-10; 6.50e-03], 1:0.055 s, tol=2.10e-01
191 : 5.590 µm, [7.20e-10; 7.22e-03], 1:0.060 s, tol=1.90e-01
192 : 5.600 µm, [7.65e-10; 7.93e-03], 1:0.058 s, tol=1.74e-01
193 : 5.610 µm, [8.06e-10; 8.65e-03], 1:0.060 s, tol=1.60e-01
194 : 5.620 µm, [8.43e-10; 9.37e-03], 1:0.060 s, tol=1.49e-01
195 : 5.630 µm, [8.77e-10; 1.01e-02], 1:0.056 s, tol=1.39e-01
196 : 5.640 µm, [9.08e-10; 1.08e-02], 1:0.059 s, tol=1.30e-01
197 : 5.650 µm, [9.35e-10; 1.15e-02], 1:0.053 s, tol=1.22e-01
198 : 5.660 µm, [9.60e-10; 1.22e-02], 1:0.056 s, tol=1.15e-01
199 : 5.670 µm, [9.82e-10; 1.29e-02], 1:0.061 s, tol=1.09e-01
200 : 5.680 µm, [1.00e-09; 1.36e-02], 1:0.058 s, tol=1.04e-01
201 : 5.690 µm, [1.02e-09; 1.44e-02], 1:0.063 s, tol=9.86e-02
202 : 5.700 µm, [1.03e-09; 1.51e-02], 1:0.058 s, tol=9.41e-02
203 : 5.710 µm, [1.04e-09; 1.58e-02], 1:0.061 s, tol=9.00e-02
204 : 5.720 µm, [1.05e-09; 1.65e-02], 1:0.037 s, tol=8.62e-02
205 : 5.730 µm, [1.06e-09; 1.72e-02], 1:0.023 s, tol=8.28e-02
206 : 5.740 µm, [1.07e-09; 1.79e-02], 1:0.045 s, tol=7.96e-02
207 : 5.750 µm, [1.07e-09; 1.86e-02], 1:0.060 s, tol=7.67e-02
208 : 5.760 µm, [1.08e-09; 1.93e-02], 1:0.058 s, tol=7.40e-02
209 : 5.770 µm, [1.08e-09; 2.00e-02], 1:0.057 s, tol=7.14e-02
210 : 5.780 µm, [1.08e-09; 2.08e-02], 1:0.057 s, tol=6.91e-02
211 : 5.790 µm, [1.08e-09; 2.15e-02], 1:0.061 s, tol=6.68e-02
212 : 5.800 µm, [1.07e-09; 2.22e-02], 1:0.060 s, tol=6.48e-02
213 : 5.810 µm, [1.07e-09; 2.29e-02], 1:0.057 s, tol=6.28e-02
214 : 5.820 µm, [1.06e-09; 2.36e-02], 1:0.059 s, tol=6.10e-02
215 : 5.830 µm, [1.06e-09; 2.43e-02], 1:0.058 s, tol=5.93e-02
216 : 5.840 µm, [1.05e-09; 2.50e-02], 1:0.057 s, tol=5.77e-02
217 : 5.850 µm, [1.04e-09; 2.57e-02], 1:0.059 s, tol=5.61e-02
218 : 5.860 µm, [1.04e-09; 2.64e-02], 1:0.058 s, tol=5.47e-02
219 : 5.870 µm, [1.03e-09; 2.71e-02], 1:0.058 s, tol=5.33e-02
220 : 5.880 µm, [1.02e-09; 2.78e-02], 1:0.061 s, tol=5.20e-02
221 : 5.890 µm, [1.01e-09; 2.85e-02], 1:0.056 s, tol=5.07e-02
222 : 5.900 µm, [9.96e-10; 2.92e-02], 1:0.061 s, tol=4.95e-02
223 : 5.910 µm, [9.84e-10; 2.99e-02], 1:0.061 s, tol=4.84e-02
224 : 5.920 µm, [9.72e-10; 3.06e-02], 1:0.053 s, tol=4.73e-02
225 : 5.930 µm, [1.00e-09; 3.14e-02], 1:0.056 s, tol=5.78e-02
226 : 5.940 µm, [1.05e-09; 3.23e-02], 1:0.059 s, tol=6.26e-02
227 : 5.950 µm, [1.10e-09; 3.32e-02], 1:0.060 s, tol=6.34e-02
228 : 5.960 µm, [1.14e-09; 3.41e-02], 1:0.055 s, tol=6.27e-02
229 : 5.970 µm, [1.18e-09; 3.49e-02], 1:0.053 s, tol=6.15e-02
230 : 5.980 µm, [1.22e-09; 3.58e-02], 1:0.055 s, tol=6.01e-02
231 : 5.990 µm, [1.25e-09; 3.67e-02], 1:0.055 s, tol=5.88e-02
232 : 6.000 µm, [1.28e-09; 3.76e-02], 1:0.060 s, tol=5.75e-02
233 : 6.010 µm, [1.30e-09; 3.85e-02], 1:0.053 s, tol=5.62e-02
234 : 6.020 µm, [1.33e-09; 3.94e-02], 1:0.059 s, tol=5.49e-02
235 : 6.030 µm, [1.34e-09; 4.03e-02], 1:0.055 s, tol=5.37e-02
236 : 6.040 µm, [1.36e-09; 4.11e-02], 1:0.055 s, tol=5.25e-02
237 : 6.050 µm, [1.37e-09; 4.20e-02], 1:0.059 s, tol=5.14e-02
238 : 6.060 µm, [1.38e-09; 4.29e-02], 1:0.059 s, tol=5.03e-02
239 : 6.070 µm, [1.39e-09; 4.38e-02], 1:0.040 s, tol=4.92e-02
240 : 6.080 µm, [1.40e-09; 4.46e-02], 1:0.035 s, tol=4.82e-02
241 : 6.090 µm, [1.40e-09; 4.55e-02], 1:0.060 s, tol=4.72e-02
242 : 6.100 µm, [1.40e-09; 4.64e-02], 1:0.059 s, tol=4.63e-02
243 : 6.110 µm, [1.41e-09; 4.73e-02], 1:0.059 s, tol=4.54e-02
244 : 6.120 µm, [1.40e-09; 4.81e-02], 1:0.064 s, tol=4.45e-02
245 : 6.130 µm, [1.40e-09; 4.90e-02], 1:0.061 s, tol=4.36e-02
246 : 6.140 µm, [1.40e-09; 4.98e-02], 1:0.061 s, tol=4.28e-02
247 : 6.150 µm, [1.39e-09; 5.07e-02], 1:0.059 s, tol=4.20e-02
248 : 6.160 µm, [1.38e-09; 5.16e-02], 1:0.058 s, tol=4.12e-02
249 : 6.170 µm, [1.37e-09; 5.24e-02], 1:0.065 s, tol=4.05e-02
250 : 6.180 µm, [1.36e-09; 5.33e-02], 1:0.057 s, tol=3.97e-02
251 : 6.190 µm, [1.35e-09; 5.41e-02], 1:0.057 s, tol=3.90e-02
252 : 6.200 µm, [1.34e-09; 5.50e-02], 1:0.057 s, tol=3.84e-02
253 : 6.210 µm, [1.33e-09; 5.58e-02], 1:0.059 s, tol=3.77e-02
254 : 6.220 µm, [1.31e-09; 5.67e-02], 1:0.057 s, tol=3.71e-02
255 : 6.230 µm, [1.30e-09; 5.75e-02], 1:0.056 s, tol=3.64e-02
256 : 6.240 µm, [1.28e-09; 5.84e-02], 1:0.061 s, tol=3.58e-02
257 : 6.250 µm, [1.27e-09; 5.94e-02], 1:0.061 s, tol=3.53e-02
258 : 6.260 µm, [1.25e-09; 6.04e-02], 1:0.057 s, tol=3.47e-02
259 : 6.270 µm, [1.23e-09; 6.15e-02], 1:0.057 s, tol=3.42e-02
260 : 6.280 µm, [1.22e-09; 6.25e-02], 1:0.057 s, tol=3.36e-02
261 : 6.290 µm, [1.20e-09; 6.36e-02], 1:0.061 s, tol=3.31e-02
262 : 6.300 µm, [1.18e-09; 6.46e-02], 1:0.063 s, tol=3.26e-02
263 : 6.310 µm, [1.16e-09; 6.56e-02], 1:0.055 s, tol=3.21e-02
264 : 6.320 µm, [1.14e-09; 6.66e-02], 1:0.055 s, tol=3.17e-02
265 : 6.330 µm, [1.12e-09; 6.77e-02], 1:0.059 s, tol=3.12e-02
266 : 6.340 µm, [1.10e-09; 6.87e-02], 1:0.057 s, tol=3.08e-02
267 : 6.350 µm, [1.08e-09; 6.97e-02], 1:0.057 s, tol=3.03e-02
268 : 6.360 µm, [1.06e-09; 7.07e-02], 1:0.057 s, tol=2.99e-02
269 : 6.370 µm, [1.05e-09; 7.17e-02], 1:0.060 s, tol=2.95e-02
270 : 6.380 µm, [1.03e-09; 7.28e-02], 1:0.054 s, tol=2.91e-02
271 : 6.390 µm, [1.01e-09; 7.38e-02], 1:0.061 s, tol=2.87e-02
272 : 6.400 µm, [9.86e-10; 7.48e-02], 1:0.057 s, tol=2.83e-02
273 : 6.410 µm, [9.66e-10; 7.58e-02], 1:0.053 s, tol=2.80e-02
274 : 6.420 µm, [9.46e-10; 7.68e-02], 1:0.055 s, tol=2.76e-02
275 : 6.430 µm, [9.26e-10; 7.78e-02], 1:0.058 s, tol=2.73e-02
276 : 6.440 µm, [9.07e-10; 7.88e-02], 1:0.060 s, tol=2.69e-02
277 : 6.450 µm, [8.87e-10; 7.98e-02], 1:0.055 s, tol=2.66e-02
278 : 6.460 µm, [8.68e-10; 8.08e-02], 1:0.062 s, tol=2.63e-02
279 : 6.470 µm, [8.48e-10; 8.18e-02], 1:0.057 s, tol=2.59e-02
280 : 6.480 µm, [8.29e-10; 8.28e-02], 1:0.061 s, tol=2.56e-02
281 : 6.490 µm, [8.10e-10; 8.38e-02], 1:0.057 s, tol=2.53e-02
282 : 6.500 µm, [7.91e-10; 8.48e-02], 1:0.031 s, tol=2.50e-02
283 : 6.510 µm, [7.73e-10; 8.58e-02], 1:0.022 s, tol=2.47e-02
284 : 6.520 µm, [7.54e-10; 8.67e-02], 1:0.021 s, tol=2.44e-02
285 : 6.530 µm, [7.36e-10; 8.77e-02], 1:0.021 s, tol=2.42e-02
286 : 6.540 µm, [7.18e-10; 8.87e-02], 1:0.022 s, tol=2.39e-02
287 : 6.550 µm, [7.00e-10; 8.97e-02], 1:0.024 s, tol=2.36e-02
288 : 6.560 µm, [6.82e-10; 9.07e-02], 1:0.024 s, tol=2.34e-02
289 : 6.570 µm, [6.65e-10; 9.16e-02], 1:0.052 s, tol=2.31e-02
290 : 6.580 µm, [6.48e-10; 9.26e-02], 1:0.058 s, tol=2.29e-02
291 : 6.590 µm, [6.31e-10; 9.36e-02], 1:0.061 s, tol=2.26e-02
292 : 6.600 µm, [6.14e-10; 9.46e-02], 1:0.061 s, tol=2.24e-02
293 : 6.610 µm, [5.98e-10; 9.55e-02], 1:0.061 s, tol=2.22e-02
294 : 6.620 µm, [5.82e-10; 9.65e-02], 1:0.053 s, tol=2.19e-02
295 : 6.630 µm, [5.66e-10; 9.74e-02], 1:0.061 s, tol=2.17e-02
296 : 6.640 µm, [5.50e-10; 9.84e-02], 1:0.057 s, tol=2.15e-02
297 : 6.650 µm, [5.36e-10; 9.95e-02], 1:0.056 s, tol=2.40e-02
298 : 6.660 µm, [5.22e-10; 1.01e-01], 1:0.061 s, tol=2.80e-02
299 : 6.670 µm, [5.09e-10; 1.02e-01], 1:0.053 s, tol=3.00e-02
300 : 6.680 µm, [4.96e-10; 1.04e-01], 1:0.055 s, tol=3.07e-02
301 : 6.690 µm, [4.83e-10; 1.05e-01], 1:0.059 s, tol=3.09e-02
302 : 6.700 µm, [4.72e-10; 1.07e-01], 1:0.059 s, tol=3.30e-02
303 : 6.710 µm, [4.64e-10; 1.09e-01], 1:0.055 s, tol=4.01e-02
304 : 6.720 µm, [4.57e-10; 1.12e-01], 1:0.057 s, tol=4.52e-02
305 : 6.730 µm, [4.52e-10; 1.15e-01], 1:0.060 s, tol=4.81e-02
306 : 6.740 µm, [4.47e-10; 1.18e-01], 1:0.057 s, tol=4.96e-02
307 : 6.750 µm, [4.42e-10; 1.21e-01], 1:0.053 s, tol=5.02e-02
308 : 6.760 µm, [4.37e-10; 1.24e-01], 1:0.064 s, tol=5.01e-02
309 : 6.770 µm, [4.32e-10; 1.27e-01], 1:0.057 s, tol=4.97e-02
310 : 6.780 µm, [4.26e-10; 1.30e-01], 1:0.060 s, tol=4.91e-02
311 : 6.790 µm, [4.20e-10; 1.33e-01], 1:0.066 s, tol=4.84e-02
312 : 6.800 µm, [4.14e-10; 1.37e-01], 1:0.025 s, tol=4.76e-02
313 : 6.810 µm, [4.08e-10; 1.40e-01], 1:0.039 s, tol=4.68e-02
314 : 6.820 µm, [4.01e-10; 1.43e-01], 1:0.060 s, tol=4.60e-02
315 : 6.830 µm, [3.94e-10; 1.46e-01], 1:0.060 s, tol=4.52e-02
316 : 6.840 µm, [3.87e-10; 1.49e-01], 1:0.057 s, tol=4.44e-02
317 : 6.850 µm, [3.80e-10; 1.52e-01], 1:0.061 s, tol=4.36e-02
318 : 6.860 µm, [3.73e-10; 1.56e-01], 1:0.058 s, tol=4.99e-02
319 : 6.870 µm, [3.67e-10; 1.60e-01], 1:0.059 s, tol=5.47e-02
320 : 6.880 µm, [3.60e-10; 1.65e-01], 1:0.057 s, tol=5.79e-02
321 : 6.890 µm, [3.55e-10; 1.70e-01], 1:0.056 s, tol=6.00e-02
322 : 6.900 µm, [3.49e-10; 1.75e-01], 1:0.056 s, tol=6.12e-02
323 : 6.910 µm, [3.43e-10; 1.80e-01], 1:0.053 s, tol=6.17e-02
324 : 6.920 µm, [3.40e-10; 1.86e-01], 1:0.057 s, tol=6.60e-02
325 : 6.930 µm, [3.40e-10; 1.92e-01], 1:0.061 s, tol=7.21e-02
326 : 6.940 µm, [3.42e-10; 2.00e-01], 1:0.058 s, tol=7.72e-02
327 : 6.950 µm, [3.45e-10; 2.08e-01], 1:0.060 s, tol=8.11e-02
328 : 6.960 µm, [3.49e-10; 2.16e-01], 1:0.061 s, tol=8.41e-02
329 : 6.970 µm, [3.53e-10; 2.25e-01], 1:0.057 s, tol=8.62e-02
330 : 6.980 µm, [3.57e-10; 2.35e-01], 1:0.056 s, tol=8.76e-02
331 : 6.990 µm, [3.61e-10; 2.45e-01], 1:0.059 s, tol=8.85e-02
332 : 7.000 µm, [3.65e-10; 2.56e-01], 1:0.061 s, tol=8.89e-02
333 : 7.010 µm, [3.69e-10; 2.66e-01], 1:0.061 s, tol=8.89e-02
334 : 7.020 µm, [3.73e-10; 2.77e-01], 1:0.064 s, tol=8.85e-02
335 : 7.030 µm, [3.76e-10; 2.89e-01], 1:0.064 s, tol=8.80e-02
336 : 7.040 µm, [3.78e-10; 3.00e-01], 1:0.057 s, tol=8.73e-02
337 : 7.050 µm, [3.81e-10; 3.13e-01], 1:0.057 s, tol=9.31e-02
338 : 7.060 µm, [3.86e-10; 3.28e-01], 1:0.060 s, tol=1.04e-01
339 : 7.070 µm, [3.92e-10; 3.46e-01], 1:0.061 s, tol=1.17e-01
340 : 7.080 µm, [4.01e-10; 3.66e-01], 1:0.061 s, tol=1.30e-01
341 : 7.090 µm, [4.11e-10; 3.90e-01], 1:0.057 s, tol=1.42e-01
342 : 7.100 µm, [4.24e-10; 4.16e-01], 1:0.061 s, tol=1.54e-01
343 : 7.110 µm, [4.39e-10; 4.46e-01], 1:0.063 s, tol=1.66e-01
344 : 7.120 µm, [4.56e-10; 4.80e-01], 1:0.060 s, tol=1.76e-01
345 : 7.130 µm, [4.75e-10; 5.17e-01], 1:0.064 s, tol=1.86e-01
346 : 7.140 µm, [4.95e-10; 5.58e-01], 1:0.064 s, tol=1.95e-01
347 : 7.150 µm, [5.16e-10; 6.02e-01], 1:0.059 s, tol=2.09e-01
348 : 7.160 µm, [5.37e-10; 6.51e-01], 1:0.051 s, tol=2.26e-01
349 : 7.170 µm, [5.55e-10; 7.03e-01], 1:0.029 s, tol=2.44e-01
350 : 7.180 µm, [5.67e-10; 7.57e-01], 1:0.050 s, tol=2.73e-01
351 : 7.190 µm, [5.65e-10; 8.13e-01], 1:0.057 s, tol=3.30e-01
352 : 7.200 µm, [5.61e-10; 8.73e-01], 1:0.057 s, tol=4.26e-01
353 : 7.210 µm, [5.62e-10; 9.33e-01], 1:0.061 s, tol=5.09e-01
354 : 7.220 µm, [5.68e-10; 9.75e-01], 1:0.062 s, tol=4.89e-01
355 : 7.230 µm, [5.73e-10; 9.90e-01], 1:0.057 s, tol=3.64e-01
356 : 7.240 µm, [5.81e-10; 9.90e-01], 1:0.062 s, tol=2.73e-01
357 : 7.250 µm, [5.90e-10; 9.95e-01], 1:0.061 s, tol=2.23e-01
358 : 7.260 µm, [5.97e-10; 9.99e-01], 1:0.061 s, tol=1.88e-01
359 : 7.270 µm, [6.03e-10; 1.00e+00], 1:0.061 s, tol=1.78e-01
360 : 7.280 µm, [6.10e-10; 1.00e+00], 1:0.062 s, tol=1.62e-01
361 : 7.290 µm, [6.14e-10; 1.00e+00], 1:0.061 s, tol=1.52e-01
362 : 7.300 µm, [6.17e-10; 1.00e+00], 1:0.061 s, tol=1.42e-01
363 : 7.310 µm, [6.23e-10; 1.00e+00], 1:0.061 s, tol=1.18e-01
364 : 7.320 µm, [6.25e-10; 1.00e+00], 1:0.062 s, tol=1.11e-01
365 : 7.330 µm, [6.28e-10; 1.00e+00], 1:0.057 s, tol=1.11e-01
366 : 7.340 µm, [6.34e-10; 1.00e+00], 1:0.057 s, tol=9.32e-02
367 : 7.350 µm, [6.36e-10; 1.00e+00], 1:0.060 s, tol=8.10e-02
368 : 7.360 µm, [6.37e-10; 1.00e+00], 1:0.061 s, tol=7.99e-02
369 : 7.370 µm, [6.42e-10; 1.00e+00], 1:0.057 s, tol=8.51e-02
370 : 7.380 µm, [6.42e-10; 1.01e+00], 1:0.057 s, tol=9.51e-02
371 : 7.390 µm, [6.43e-10; 1.01e+00], 1:0.057 s, tol=8.91e-02
372 : 7.400 µm, [6.46e-10; 1.01e+00], 1:0.057 s, tol=7.11e-02
373 : 7.410 µm, [6.42e-10; 1.01e+00], 1:0.059 s, tol=6.24e-02
374 : 7.420 µm, [6.37e-10; 1.01e+00], 1:0.057 s, tol=6.64e-02
375 : 7.430 µm, [6.41e-10; 1.01e+00], 1:0.061 s, tol=7.39e-02
376 : 7.440 µm, [6.36e-10; 1.01e+00], 1:0.061 s, tol=7.67e-02
377 : 7.450 µm, [6.32e-10; 1.01e+00], 1:0.032 s, tol=7.30e-02
378 : 7.460 µm, [6.32e-10; 1.01e+00], 1:0.025 s, tol=6.50e-02
379 : 7.470 µm, [6.13e-10; 1.01e+00], 1:0.045 s, tol=6.81e-02
380 : 7.480 µm, [6.04e-10; 1.01e+00], 1:0.060 s, tol=6.60e-02
381 : 7.490 µm, [6.01e-10; 1.00e+00], 1:0.057 s, tol=5.40e-02
382 : 7.500 µm, [5.77e-10; 1.00e+00], 1:0.057 s, tol=5.04e-02
383 : 7.510 µm, [5.76e-10; 1.00e+00], 1:0.070 s, tol=5.08e-02
384 : 7.520 µm, [5.59e-10; 1.00e+00], 1:0.063 s, tol=5.55e-02
385 : 7.530 µm, [5.38e-10; 1.01e+00], 1:0.066 s, tol=5.31e-02
386 : 7.540 µm, [5.25e-10; 1.01e+00], 1:0.063 s, tol=4.30e-02
387 : 7.550 µm, [4.73e-10; 1.00e+00], 1:0.057 s, tol=3.96e-02
388 : 7.560 µm, [4.40e-10; 1.00e+00], 1:0.057 s, tol=3.94e-02
389 : 7.570 µm, [4.04e-10; 1.00e+00], 1:0.061 s, tol=4.37e-02
390 : 7.580 µm, [3.44e-10; 1.01e+00], 1:0.061 s, tol=4.78e-02
391 : 7.590 µm, [3.14e-10; 1.01e+00], 1:0.062 s, tol=4.37e-02
392 : 7.600 µm, [2.39e-10; 1.01e+00], 1:0.061 s, tol=4.01e-02
393 : 7.610 µm, [1.57e-10; 1.01e+00], 1:0.062 s, tol=4.05e-02
394 : 7.620 µm, [1.23e-10; 1.01e+00], 1:0.057 s, tol=4.04e-02
395 : 7.630 µm, [2.97e-11; 1.01e+00], 1:0.057 s, tol=4.07e-02
396 : 7.640 µm, [-1.22e-12; 1.01e+00], 1:0.061 s, tol=3.94e-02
397 : 7.650 µm, [-4.92e-11; 1.01e+00], 1:0.061 s, tol=3.89e-02
398 : 7.660 µm, [-1.63e-10; 1.01e+00], 1:0.061 s, tol=3.78e-02
399 : 7.670 µm, [-2.93e-10; 1.01e+00], 1:0.057 s, tol=3.26e-02
400 : 7.680 µm, [-3.82e-10; 1.00e+00], 1:0.063 s, tol=2.67e-02
401 : 7.690 µm, [-5.54e-10; 1.00e+00], 1:0.057 s, tol=2.73e-02
402 : 7.700 µm, [-7.68e-10; 1.00e+00], 1:0.061 s, tol=3.29e-02
403 : 7.710 µm, [-9.49e-10; 1.00e+00], 1:0.062 s, tol=3.54e-02
404 : 7.720 µm, [-1.13e-09; 1.00e+00], 1:0.061 s, tol=3.55e-02
405 : 7.730 µm, [-1.37e-09; 1.00e+00], 1:0.061 s, tol=3.75e-02
406 : 7.740 µm, [-1.59e-09; 1.00e+00], 1:0.057 s, tol=3.31e-02
407 : 7.750 µm, [-1.81e-09; 1.00e+00], 1:0.061 s, tol=3.03e-02
408 : 7.760 µm, [-1.97e-09; 1.01e+00], 1:0.057 s, tol=3.18e-02
409 : 7.770 µm, [-2.27e-09; 1.01e+00], 1:0.057 s, tol=3.65e-02
410 : 7.780 µm, [-2.61e-09; 1.01e+00], 1:0.061 s, tol=3.77e-02
411 : 7.790 µm, [-2.88e-09; 1.01e+00], 1:0.063 s, tol=3.59e-02
412 : 7.800 µm, [-3.30e-09; 1.01e+00], 1:0.061 s, tol=3.50e-02
413 : 7.810 µm, [-3.79e-09; 1.01e+00], 1:0.061 s, tol=2.97e-02
414 : 7.820 µm, [-4.37e-09; 1.01e+00], 1:0.057 s, tol=2.78e-02
415 : 7.830 µm, [-4.88e-09; 1.01e+00], 1:0.061 s, tol=3.12e-02
416 : 7.840 µm, [-5.54e-09; 1.01e+00], 1:0.057 s, tol=3.46e-02
417 : 7.850 µm, [-6.16e-09; 1.01e+00], 1:0.061 s, tol=3.47e-02
418 : 7.860 µm, [-6.64e-09; 1.01e+00], 1:0.061 s, tol=3.61e-02
419 : 7.870 µm, [-7.02e-09; 1.01e+00], 1:0.057 s, tol=3.92e-02
420 : 7.880 µm, [-7.38e-09; 1.00e+00], 1:0.057 s, tol=4.47e-02
421 : 7.890 µm, [-7.83e-09; 1.00e+00], 1:0.053 s, tol=5.55e-02
422 : 7.900 µm, [-8.12e-09; 1.00e+00], 1:0.057 s, tol=9.23e-02
423 : 7.910 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=2.06e-01
424 : 7.920 µm, [-8.56e-09; 1.00e+00], 1:0.057 s, tol=5.10e-02
425 : 7.930 µm, [-8.56e-09; 1.00e+00], 1:0.055 s, tol=8.99e-03
426 : 7.940 µm, [-8.56e-09; 1.00e+00], 1:0.062 s, tol=1.90e-03
427 : 7.950 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=1.26e-03
428 : 7.960 µm, [-8.56e-09; 1.00e+00], 1:0.057 s, tol=1.30e-03
429 : 7.970 µm, [-8.56e-09; 1.00e+00], 1:0.058 s, tol=1.38e-03
430 : 7.980 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=1.44e-03
431 : 7.990 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=1.51e-03
432 : 8.000 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=1.55e-03
433 : 8.010 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=1.56e-03
434 : 8.020 µm, [-8.56e-09; 1.00e+00], 1:0.061 s, tol=1.56e-03
Saved:
/home/docs/checkouts/readthedocs.org/user_builds/easyfea/checkouts/v1.7.1/examples/PhaseField/results/Tension2D/Test/Elas_Isot_Bourdin_AT1_DP_optimMesh/force-displacement.pickle
Saved:
/home/docs/checkouts/readthedocs.org/user_builds/easyfea/checkouts/v1.7.1/examples/PhaseField/results/Tension2D/Test/Elas_Isot_Bourdin_AT1_DP_optimMesh/simulation.pickle
Saved:
/home/docs/checkouts/readthedocs.org/user_builds/easyfea/checkouts/v1.7.1/examples/PhaseField/results/Tension2D/Test/Elas_Isot_Bourdin_AT1_DP_optimMesh/summary.txt
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Generate movie 21/21 (100.00 %) 0.00 µs
Mesh : 48.226 ms
Boundary Conditions : 8.029 ms
Matrix : 10.934 s
Split : 48.551 ms
PostProcessing : 133.003 ms
Solver : 14.233 s
Resolution phase field : 23.907 s
Display : 838.299 ms
PyVista_Interface : 6.400 s
12 import matplotlib.pyplot as plt
13 import numpy as np
14
15 from EasyFEA import (
16 Display,
17 Folder,
18 Models,
19 Tic,
20 ElemType,
21 Mesh,
22 Simulations,
23 PyVista,
24 Paraview,
25 )
26 from EasyFEA.Geoms import Point, Points, Domain, Line, Contour
27
28 import multiprocessing
29
30 # Display.Clear()
31
32 useParallel = False
33 nProcs = 4 # number of processes in parallel
34
35 # ----------------------------------------------
36 # Configurations
37 # ----------------------------------------------
38 dim = 2
39
40 # simu options
41 doSimu = True
42 meshTest = True
43 openCrack = True
44 optimMesh = True
45
46 # outputs
47 folder = Folder.Results_Dir() + f"{dim}D"
48 plotMesh = False
49 plotResult = True
50 showResult = True
51 plotEnergy = False
52 saveParaview = False
53 makeMovie = True
54
55 # material
56 materialType = "Elas_Isot" # "Elas_Isot", "ElasAnisot"
57
58 # phasefield
59 maxIter = 1000
60 tolConv = 1e-0 # 1e-1, 1e-2, 1e-3
61 pfmSolver = Models.PhaseField.SolverType.History
62
63 # splits = ["Bourdin","Amor","Miehe","Stress"] # Splits Isotropes
64 # splits = ["He","AnisotStrain","AnisotStress","Zhang"] # Splits Anisotropes sans bourdin
65 # splits = ["Bourdin","Amor","Miehe","Stress","He","AnisotStrain","AnisotStress","Zhang"]
66 splits = ["Bourdin"]
67
68 regus = ["AT1"] # "AT1", "AT2"
69 # regus = ["AT1", "AT2"]
70
71 thetas = [-70, -80, -90] # [-0, -10, -20, -30, -45, -60]
72 theta = -0 # default value
73
74 # ----------------------------------------------
75 # Mesh
76 # ----------------------------------------------
77 L = 1e-3
78 # m
79 l0 = 8.5e-6 if materialType == "ElasAnisot" else 1e-5
80 thickness = 1 if dim == 2 else 0.1 / 1000
81
82
83 def DoMesh(materialType: str = "Elas_Isot") -> Mesh:
84 # meshSize
85 clC = l0 * 2 if meshTest else l0 / 2
86 if optimMesh:
87 # a coarser mesh can be used outside the refined zone
88 clD = clC * 4
89 # refines the mesh in the area where the crack will propagate
90 gap = L * 0.05
91 if materialType == "Elas_Isot":
92 refineDomain = Domain(
93 Point(L / 2 - gap, L / 2 - gap), Point(L, L / 2 + gap, thickness), clC
94 )
95 else:
96 refineDomain = Domain(
97 Point(L / 2 - gap, L / 2 - gap), Point(L, L * 0.8, thickness), clC
98 )
99 else:
100 clD = clC
101 refineDomain = None
102
103 # geom
104 pt1 = Point()
105 pt2 = Point(L)
106 pt3 = Point(L, L)
107 pt4 = Point(0, L)
108 contour = Points([pt1, pt2, pt3, pt4], clD)
109
110 if dim == 2:
111 ptC1 = Point(0, L / 2, isOpen=openCrack)
112 ptC2 = Point(L / 2, L / 2)
113 cracks = [Line(ptC1, ptC2, clC, isOpen=openCrack)]
114 if dim == 3:
115 meshSize = clD if optimMesh else clC
116 ptC1 = Point(0, L / 2, 0, isOpen=openCrack)
117 ptC2 = Point(L / 2, L / 2, 0)
118 ptC3 = Point(L / 2, L / 2, thickness)
119 ptC4 = Point(0, L / 2, thickness, isOpen=openCrack)
120 l1 = Line(ptC1, ptC2, meshSize, openCrack)
121 l2 = Line(ptC2, ptC3, meshSize, False)
122 l3 = Line(ptC3, ptC4, meshSize, openCrack)
123 l4 = Line(ptC4, ptC1, meshSize, openCrack)
124 cracks = [Contour([l1, l2, l3, l4])]
125
126 if dim == 2:
127 mesh = contour.Mesh_2D([], ElemType.TRI3, cracks, [refineDomain])
128 elif dim == 3:
129 mesh = contour.Mesh_Extrude(
130 [], [0, 0, thickness], [3], ElemType.TETRA4, cracks, [refineDomain]
131 )
132
133 return mesh
134
135
136 # ----------------------------------------------
137 # Simu
138 # ----------------------------------------------
139
140
141 def DoSimu(split: str, regu: str):
142 # Builds the path to the folder based on the problem data
143 folder_save = Simulations.PhaseField.Folder(
144 folder,
145 materialType,
146 split,
147 regu,
148 "DP",
149 tolConv,
150 pfmSolver,
151 meshTest,
152 optimMesh,
153 not openCrack,
154 theta=theta,
155 )
156
157 Display.MyPrint(folder_save, "green")
158
159 if doSimu:
160 mesh = DoMesh(materialType)
161
162 # Nodes recovery
163 nodes_upper = mesh.Nodes_Conditions(lambda x, y, z: y == L)
164 nodes_lower = mesh.Nodes_Conditions(lambda x, y, z: y == 0)
165 nodes_right = mesh.Nodes_Conditions(
166 lambda x, y, z: (x == L) & (y > 0) & (y < L)
167 )
168 nodes_crack = mesh.Nodes_Conditions(lambda x, y, z: (y == L / 2) & (x <= L / 2))
169 if openCrack:
170 nodes_detect = mesh.nodes.copy()
171 else:
172 nodes_detect = np.array(list(set(mesh.nodes) - set(nodes_crack)))
173
174 # Builds edge nodes
175 nodes_edges = []
176 for nodes in [nodes_lower, nodes_right, nodes_upper]:
177 nodes_edges.extend(nodes)
178
179 # ----------------------------------------------
180 # Material
181 # ----------------------------------------------
182 if materialType == "Elas_Isot":
183 material = Models.Elastic.Isotropic(
184 dim, E=210e9, v=0.3, planeStress=False, thickness=thickness
185 )
186 Gc = 2.7e3 # J/m2
187 elif materialType == "ElasAnisot":
188 if dim == 2:
189 c11 = 65
190 c22 = 260
191 c33 = 30
192 c12 = 20
193 C_voigt = np.array([[c11, c12, 0], [c12, c22, 0], [0, 0, c33]]) * 1e9
194
195 theta_rad = theta * np.pi / 180
196 axis1 = np.array([np.cos(theta_rad), np.sin(theta_rad), 0])
197 axis2 = np.array([-np.sin(theta_rad), np.cos(theta_rad), 0])
198
199 material = Models.ElasAnisot(
200 dim,
201 C=C_voigt,
202 useVoigtNotation=True,
203 axis1=axis1,
204 axis2=axis2,
205 planeStress=False,
206 thickness=thickness,
207 )
208 Gc = 1e3 # J/m2
209 else:
210 raise Exception("Not implemented in 3D")
211
212 pfm = Models.PhaseField(material, split, regu, Gc=Gc, l0=l0, solver=pfmSolver)
213
214 # ----------------------------------------------
215 # Boundary conditions
216 # ----------------------------------------------
217 if materialType == "Elas_Isot":
218 # load < threshold
219 uinc0 = 1e-7 if meshTest else 1e-8
220 N0 = 40 if meshTest else 400
221 dep0 = uinc0 * N0
222
223 # load >= threshold
224 uinc1 = 1e-8 if meshTest else 1e-9
225 N1 = 400 if meshTest else 4000
226 dep1 = dep0 + uinc1 * N1
227
228 threshold = uinc0 * N0
229
230 config = f"""
231 while True: # simu until break
232
233 uinc0 = {uinc0:.1e}; N0 = {N0}; dep0 = uinc0*N0 = {dep0}
234 uinc1 = {uinc1:.1e}; N0 = {N1}; dep1 = dep0 + uinc1*N1 = {dep1}
235
236 threshold = uinc0*N0 = {threshold}
237
238 dep += uinc0 if dep < threshold else uinc1
239
240 if not openCrack:
241 simu.add_dirichlet(nodes_crack, [1], ["d"], problemType="damage")
242 if dim == 2:
243 simu.add_dirichlet(nodes_upper, [0,dep], ["x","y"])
244 elif dim == 3:
245 simu.add_dirichlet(nodes_upper, [0,dep,0], ["x","y","z"])
246 simu.add_dirichlet(nodes_lower, [0],["y"])
247 """
248
249 else:
250 # load < threshold
251 uinc0 = 12e-8 if meshTest else 6e-8
252 # load >= threshold
253 uinc1 = 4e-8 if meshTest else 2e-8
254
255 threshold = 0.6
256
257 config = f"""
258 while True: # simu until break
259
260 uinc0 = {uinc0:.1e} (simu.damage.max() < {threshold})
261 uinc1 = {uinc1:.1e}
262
263 if not openCrack:
264 simu.add_dirichlet(nodes_crack, [1], ["d"], problemType="damage")
265 if dim == 2:
266 simu.add_dirichlet(nodes_upper, [0,dep], ["x","y"])
267 elif dim == 3:
268 simu.add_dirichlet(nodes_upper, [0,dep,0], ["x","y","z"])
269 simu.add_dirichlet(nodes_lower, [0],["y"])
270 """
271
272 def Loading(dep):
273 """Boundary conditions"""
274
275 simu.Bc_Init()
276
277 if not openCrack:
278 simu.add_dirichlet(nodes_crack, [1], ["d"], problemType="damage")
279
280 if dim == 2:
281 simu.add_dirichlet(nodes_upper, [0, dep], ["x", "y"])
282 elif dim == 3:
283 simu.add_dirichlet(nodes_upper, [0, dep, 0], ["x", "y", "z"])
284 simu.add_dirichlet(nodes_lower, [0], ["y"])
285
286 # ----------------------------------------------
287 # Simulation
288 # ----------------------------------------------
289 simu = Simulations.PhaseField(mesh, pfm, verbosity=False)
290 simu.Results_Set_Bc_Summary(config)
291
292 dofsY_upper = simu.Bc_dofs_nodes(nodes_upper, ["y"])
293
294 # INIT
295 nDetect = 0
296 displacement = []
297 force = []
298
299 dep = -uinc0
300 iter = -1
301 while True: # simu until break
302 iter += 1
303 if materialType == "Elas_Isot":
304 dep += uinc0 if dep < threshold else uinc1
305 else:
306 if np.max(simu.damage[nodes_detect]) < threshold:
307 dep += uinc0
308 else:
309 dep += uinc1
310
311 # apply new boundary conditions
312 Loading(dep)
313
314 # solve and save iter
315 u, _, Ku, converg = simu.Solve(tolConv, maxIter, convOption=1)
316 simu.Save_Iter()
317
318 # print iter solution
319 simu.Results_Set_Iteration_Summary(iter, dep * 1e6, "µm", 0, True)
320
321 # If the solver has not converged, stop the simulation.
322 if not converg:
323 break
324
325 # resulting force on upper edge
326 f = np.sum(Ku[dofsY_upper, :] @ u)
327
328 displacement.append(dep)
329 force.append(f)
330
331 # check for damaged edges
332 if np.any(simu.damage[nodes_edges] >= 1):
333 nDetect += 1
334 if nDetect == 10:
335 # If the edge has been touched 10 times, stop the simulation
336 break
337
338 # ----------------------------------------------
339 # Saving
340 # ----------------------------------------------
341 force = np.asarray(force)
342 displacement = np.asarray(displacement)
343 print()
344 Simulations.Save_pickle(
345 (force, displacement), folder_save, "force-displacement"
346 )
347 simu.Save(folder_save)
348
349 else:
350 # ----------------------------------------------
351 # Loading
352 # ---------------------------------------------
353 simu: Simulations.PhaseField = Simulations.Load_Simu(folder_save)
354 force, displacement = Simulations.Load_pickle(folder_save, "force-displacement")
355
356 # ----------------------------------------------
357 # Results
358 # ---------------------------------------------
359 if plotResult:
360 Display.Plot_Result(
361 simu,
362 "damage",
363 nodeValues=True,
364 plotMesh=False,
365 folder=folder_save,
366 filename="damage",
367 )
368 Display.Plot_Mesh(simu)
369 Display.Plot_Iter_Summary(simu, folder_save, None, None)
370 Display.Plot_BoundaryConditions(simu)
371 Display.Plot_Force_Displacement(
372 force * 1e-6, displacement * 1e6, "ud [µm]", "f [kN/mm]", folder_save
373 )
374
375 if plotMesh:
376 Display.Plot_Mesh(simu.mesh)
377
378 if plotEnergy:
379 Display.Plot_Energy(simu, N=400, folder=folder_save)
380
381 if saveParaview:
382 Paraview.Save_simu(simu, folder_save, 400)
383
384 if makeMovie:
385 simu.Set_Iter(-1)
386 nodes_upper = simu.mesh.Nodes_Conditions(lambda x, y, z: y == L)
387 depMax = simu.Result("displacement_norm")[nodes_upper].max()
388 deformFactor = L * 0.05 / depMax
389
390 iterations = np.arange(0, simu.Niter, simu.Niter // 20)
391
392 def Func(plotter, iter):
393 simu.Set_Iter(iterations[iter])
394
395 grid = PyVista._pvMesh(simu, "damage", deformFactor)
396
397 tresh = grid.threshold((0, 0.8))
398
399 PyVista.Plot(
400 tresh,
401 "damage",
402 deformFactor,
403 plotMesh=True,
404 plotter=plotter,
405 clim=(0, 1),
406 )
407
408 PyVista.Movie_func(Func, iterations.size, folder_save, "damage.gif")
409
410 Tic.Resume()
411
412 if doSimu:
413 Tic.Plot_History(folder_save, False)
414
415 if showResult:
416 plt.show()
417
418 # Display.plt.close("all")
419 Tic.Clear()
420
421
422 if __name__ == "__main__":
423 # generates configs
424 Splits = []
425 Regus = []
426 for split in splits.copy():
427 for regu in regus.copy():
428 Splits.append(split)
429 Regus.append(regu)
430
431 if useParallel:
432 items = [(split, regu) for split, regu in zip(Splits, Regus)]
433 with multiprocessing.Pool(nProcs) as pool:
434 for result in pool.starmap(DoSimu, items):
435 pass
436 else:
437 [DoSimu(split, regu) for split, regu in zip(Splits, Regus)]
Total running time of the script: (0 minutes 32.686 seconds)





