By Thomas J. Shankland, Jay D. Bass
Chapter 10 Hydrostatic compression of perovskite?type MgSiO3 (pages 466–474): T. Yagi, H.K. Mao and P.M. Bell
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Additional resources for Elastic Properties and Equations of State
The other, which we may call the "true" compressibility P, is -(l/V)(dV/dP); here V is the volume at the pressure at which the derivative dV/dP is taken. Both of these are functions of the pressure, and for most solids differ by only a few percent up to pressures of the order of 10 kg/cm . It is the true compressibility which is required in the above relations. Its reciprocal, the true bulk modulus K, may be found from the general expression for small strain about an arbitrary hydrostatic compression by setting T '= — 8 P , ana 6 — 8 s e', where P' is a small increment of pressure.
NOTATION v p T P S ^ = = = = = = specific volume density; p = 1/v absolute temperature pressure entropy Helmholtz free energy a = volume thermal expansion; p = isothermal compressibility; f3 = — ~ (j$p) = ~ (^) a = ~ (fr) — = T T f$ = adiabatic compressibility; (3 S s K K
By definition of