Table 2 Coefficient α ij and second- and third-order elastic constants in the isothermal and adiabatic states
From: Measurement of third-order elastic constants and stress dependent coefficients for steels
(A) Stress dependent coefficients of α ij | ||||||||
α ij | S20iso | S20adi | S30iso | S30adi | S40iso | S40adi | S50iso | S50adi |
α 11 | -1.484 | -1.450 | -1.620 | -1.507 | -1.823 | -1.689 | -1.887 | -1.764 |
α 22 | 0.232 | 0.227 | 0.161 | 0.143 | 0.164 | 0.159 | 0.194 | 0.173 |
α 12 | 0.282 | 0.291 | 0.157 | 0.193 | 0.128 | 0.159 | 0.059 | 0.098 |
α 21 | -1.209 | -1.197 | -1.443 | -1.393 | -1.448 | -1.393 | -1.388 | -1.342 |
α 23 | 0.408 | 0.399 | 0.116 | 0.100 | 0.035 | 0.024 | 0.092 | 0.076 |
(B) Lamè constants and Young’s modulus(× 103MPa) | ||||||||
λ | 115 | 114 | 98 | 94 | 113 | 110 | 132 | 126 |
μ | 83 | 82 | 86 | 82 | 85 | 82 | 85 | 82 |
E | 214 | 211 | 217 | 207 | 218 | 210 | 223 | 213 |
(C) Murnaghan’s third order elastic constants(× 103MPa) | ||||||||
ℓ | -940 | -932 | -797 | -795 | -916 | -914 | -1064 | -1058 |
m | -346 | -335 | -355 | -318 | -402 | -362 | -434 | -390 |
n 12 | -1161 | -1025 | -1120 | -1105 | -1012 | -1003 | -1058 | -1038 |
n 21 | -1192 | -1187 | -1420 | -1373 | -1331 | -1297 | -1233 | -1189 |
n 23 | -619 | -601 | -553 | -505 | -550 | -503 | -580 | -530 |
ρ | 7.833 | 7.829 | 7.840 | 7.835 | ||||
ν | 0.291 | 0.290 | 0.267 | 0.267 | 0.286 | 0.287 | 0.304 | 0.304 |