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The elastic constants of a pyrope‐grossular‐almandine garnet to 20 Gpa
Author(s) -
Chai Mu,
Brown J. Michael,
Slutsky Leon J.
Publication year - 1997
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/97gl00371
Subject(s) - grossular , bulk modulus , shear modulus , pyrope , thermodynamics , materials science , resonant ultrasound spectroscopy , elastic modulus , adiabatic process , equation of state , mineralogy , analytical chemistry (journal) , chemistry , physics , composite material , organic chemistry , quartz
Laser‐induced phonon spectroscopy has been applied to the determination of the elastic constants and equation of state at 25°C of a natural garnet of composition Py 51.6 Al 31.7 Gr 15.8 Sp 0.9 to a pressure of 20 GPa. Moduli are linear with pressure. The adiabatic bulk modulus in GPa is given by K=170.8 + 4.09 P and the shear modulus is µ=94.7 + 1.76P. The derivative of the shear modulus with respect to temperature at constant density is derived from the temperature and pressure dependencies of the elastic constants. The constant pressure derivatives of the mean longitudinal (V p ' and shear (V s ' velocities are tabulated. At 298K and 1bar (∂1nV p /∂1nρ' p =1.7, (∂1nV s /∂1nρ' p =1.5 and (∂1nV s /∂1nV p ' p =0.9. The corresponding values calculated at 1000 K and 20 GPa are 1.6, 1.7 and 1.1.