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2006•Journal of Applied PhysicsRequires access

Elastic constants of monocrystal iron from 3to500K

J. J. Adams, D.S. Agosta, R. G. Leisure, Hassel Ledbetter

Open publisher page 233 citations

Abstract

Resonant ultrasound spectroscopy was used to measure the monocrystal elastic constants of iron over a temperature range of 3–500K. All the moduli behave normally as a function of temperature and are well described by the semiempirical Einstein-oscillator model. Values at 300K are bulk modulus=166.2±0.9GPa; shear constant C′=(C11−C12)∕2=48.15±0.9GPa; shear constant C44=115.87±0.17GPa. The Poisson ratio (ν100) is 0.3679±0.0005. Representation surfaces of Young’s and torsion moduli are presented. The Debye temperature (θD) is 476.3K as calculated from 3K measured elastic constants. A thermodynamic Grüneisen parameter γth=1.65 is calculated. The temperature dependence of the internal friction associated with C′ is very different from that associated with C44. Possible reasons for this difference are suggested.

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Resonant ultrasound spectroscopy was used to measure the monocrystal elastic constants of iron over a temperature range of 3–500K. All the moduli behave normally as a function of temperature and are well described by the semiempirical Einstein-oscillator model. Values at 300K are bulk modulus=166.2±0.9GPa; shear constant C′=(C11−C12)∕2=48.15±0.9GPa; shear constant C44=115.87±0.17GPa. The Poisson ratio (ν100) is 0.3679±0.0005. Representation surfaces of Young’s and torsion moduli are presented. The Debye temperature (θD) is 476.3K as calculated from 3K measured elastic constants. A thermodynamic Grüneisen parameter γth=1.65 is calculated. The temperature dependence of the internal friction associated with C′ is very different from that associated with C44. Possible reasons for this difference are suggested.

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Available abstract

Resonant ultrasound spectroscopy was used to measure the monocrystal elastic constants of iron over a temperature range of 3–500K. All the moduli behave normally as a function of temperature and are well described by the semiempirical Einstein-oscillator model. Values at 300K are bulk modulus=166.2±0.9GPa; shear constant C′=(C11−C12)∕2=48.15±0.9GPa; shear constant C44=115.87±0.17GPa. The Poisson ratio (ν100) is 0.3679±0.0005. Representation surfaces of Young’s and torsion moduli are presented. The Debye temperature (θD) is 476.3K as calculated from 3K measured elastic constants. A thermodynamic Grüneisen parameter γth=1.65 is calculated. The temperature dependence of the internal friction associated with C′ is very different from that associated with C44. Possible reasons for this difference are suggested.

Key concepts: Debye model, Resonant ultrasound spectroscopy, Shear modulus, Moduli, Atmospheric temperature range, Poisson's ratio, Thermodynamics, Materials science

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