Table 11. Model parameters (number of grains N i and volume fractions f i ) and average elastic strain and stress components for the full model and its two phases.
Average stress values are highlighted in bold. SD denotes standard deviation. The ‘Range’ parameters show the total distribution breadth. Out-of plane shear components 〈ɛ i3〉 and 〈σ i3〉 (i ≠ 3) had negligible magnitudes and breadths; these are omitted for brevity.
| Strain (µɛ) | Stress (MPa) | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Parameter | 〈ɛ11〉 | 〈ɛ22〉 | 〈ɛ33〉 | 〈ɛ12〉 | 〈σ11〉 | 〈σ22〉 | 〈σ33〉 | 〈σ12〉 | |
| Full mesh, N = 676 | Average | −57 | −56 | 40 | 4 | 0 | 0 | 0 | 0 |
| SD | 205 | 207 | 78 | 61 | 55 | 55 | 27 | 28 | |
| Median | −12 | −15 | 25 | 0 | −11 | -5 | -3 | ||
| Range | 1340 | 1121 | 613 | 610 | 272 | 257 | 108 | 112 | |
| Cu phase, N Cu = 352, f Cu = 0.52 | Average | −167 | −173 | 72 | −2 | −43 | −44 | −23 | −1 |
| SD | 212 | 206 | 83 | 48 | 24 | 24 | 13 | 23 | |
| Median | −166 | −185 | 66 | −1 | −46 | −44 | −21 | ||
| Range† | 1340 | 1121 | 613 | 427 | 136 | 131 | 65 | 101 | |
| W phase, N W = 324, f W = 0.48 | Average | 63 | 75 | −1 | 6 | 47 | 48 | 26 | 1 |
| SD | 108 | 103 | 39 | 73 | 38 | 34 | 9 | 34 | |
| Median | 59 | 59 | 0 | 2 | 43 | 42 | 26 | ||
| Range | 651 | 519 | 208 | 610 | 212 | 173 | 52 | 203 | |
|
Equilibrium condition test for average stresses | 0.2 | 0.2 | 0.5 | |||||
The ranges for the entire mesh and for the Cu phase are equal for normal strains since the maximum and minimum strains occur in Cu grains.