DAMASK_EICMD/examples/config/phase/mechanical/elastic/Hooke_Sn-beta.yaml

type: Hooke

references:
  - J.A. Rayne and B.S. Chandrasekhar,
    Physical Review 120(5):1658-1663, 1960,
    https://doi.org/10.1103/PhysRev.120.1658,
    fit to Fig. 2 (T_min=100K, T_max=300K) and Tab. IV (C_13, T_min=77K, T_max=300K)

C_11: 72.90e+9
C_11,T: -4.399e+7
C_11,T^2: -2.645e+4

C_12: 59.27e+9
C_12,T: 1.058e+7
C_12,T^2: 1.002e+4

C_13: 35.80e+9
C_13,T: -2.870e+6

C_33: 88.78e+9
C_33,T: -5.250e+7
C_33,T^2: 3.546e+3

C_44: 22.26e+9
C_44,T: -1.982e+7
C_44,T^2: -8.711e+3

C_66: 24.18e+9
C_66,T: -1.806e+7
C_66,T^2: -4.112e+3

T_ref: 293.15
Parameter set for beta-Sn 2022-02-12 16:10:30 +05:30			`type: Hooke`
polishing 2022-02-12 23:11:59 +05:30
Parameter set for beta-Sn 2022-02-12 16:10:30 +05:30			`references:`
			`- J.A. Rayne and B.S. Chandrasekhar,`
			`Physical Review 120(5):1658-1663, 1960,`
			`https://doi.org/10.1103/PhysRev.120.1658,`
don't fit close to 0K cryogenic temperatures are normally not of interest, avoid considering the strongly curved region below 80K in the fit gives probably better extrapolation properties for T>300K 2022-02-13 19:27:01 +05:30			`fit to Fig. 2 (T_min=100K, T_max=300K) and Tab. IV (C_13, T_min=77K, T_max=300K)`
polishing 2022-02-12 23:11:59 +05:30
don't fit close to 0K cryogenic temperatures are normally not of interest, avoid considering the strongly curved region below 80K in the fit gives probably better extrapolation properties for T>300K 2022-02-13 19:27:01 +05:30			`C_11: 72.90e+9`
			`C_11,T: -4.399e+7`
			`C_11,T^2: -2.645e+4`
polishing 2022-02-12 23:11:59 +05:30
Parameter set for beta-Sn 2022-02-12 16:10:30 +05:30			`C_12: 59.27e+9`
don't fit close to 0K cryogenic temperatures are normally not of interest, avoid considering the strongly curved region below 80K in the fit gives probably better extrapolation properties for T>300K 2022-02-13 19:27:01 +05:30			`C_12,T: 1.058e+7`
			`C_12,T^2: 1.002e+4`
polishing 2022-02-12 23:11:59 +05:30
avoid overfitting there are only 3 data points for C_13, with one close to 0K. Leave this point out and fit only a 1st order polynomial 2022-02-13 19:18:15 +05:30			`C_13: 35.80e+9`
			`C_13,T: -2.870e+6`
polishing 2022-02-12 23:11:59 +05:30
don't fit close to 0K cryogenic temperatures are normally not of interest, avoid considering the strongly curved region below 80K in the fit gives probably better extrapolation properties for T>300K 2022-02-13 19:27:01 +05:30			`C_33: 88.78e+9`
			`C_33,T: -5.250e+7`
			`C_33,T^2: 3.546e+3`
polishing 2022-02-12 23:11:59 +05:30
Parameter set for beta-Sn 2022-02-12 16:10:30 +05:30			`C_44: 22.26e+9`
don't fit close to 0K cryogenic temperatures are normally not of interest, avoid considering the strongly curved region below 80K in the fit gives probably better extrapolation properties for T>300K 2022-02-13 19:27:01 +05:30			`C_44,T: -1.982e+7`
			`C_44,T^2: -8.711e+3`
polishing 2022-02-12 23:11:59 +05:30
don't fit close to 0K cryogenic temperatures are normally not of interest, avoid considering the strongly curved region below 80K in the fit gives probably better extrapolation properties for T>300K 2022-02-13 19:27:01 +05:30			`C_66: 24.18e+9`
			`C_66,T: -1.806e+7`
			`C_66,T^2: -4.112e+3`
polishing 2022-02-12 23:11:59 +05:30
Parameter set for beta-Sn 2022-02-12 16:10:30 +05:30			`T_ref: 293.15`