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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)  
-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
  1. ρ : density, ν : Poisson’s ratio