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K = \rho \cdot \left( \frac{\partial p}{\partial \rho} \right) = - V_m \cdot \left( \frac{\partial p}{\partial V_m} \right) |
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Bulk modulus measures resistance of Continuum body to compression/decompression and to deformation and is inverse to Compressibility compressibility
: LaTeX Math Inline body c
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K = \frac{1}{c} |
Bulk modulus depends on the thermodynamic conditions at which it is measured and as such is not a material property.
The two major deformation processes of the medium compression/decompression processes are isothermal and isentropic which result in different values of Bulk modulus:
Isothermal Compressibilitybulk modulus | Isentropic Compressibilitybulk modulus | ||||||||||||||
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K
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Both
and LaTeX Math Inline body K_T
are not dependent on the amount of chemical substance and defined under a clear specific conditions of thermodynamic process and as such are the material properties and properly tabulated for the vast majority of materials. LaTeX Math Inline body K_S
In engineering practise, when the term Bulk modulus is used as material property it normally means Isothermal Compressibility:
. LaTeX Math Inline body K=K_T
For isotropic materials it is related to Young modulus (E) and Poisson's ratio (ν) as:
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K_T = \frac{E}{3 \, (1- 2\, \nu)} |
See also
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Physics / Mechanics / Continuum mechanics / Continuum mechanicsBody / Deformation
[ Solid Mechanics Continuum body] [ Fluid Mechanics]
[Compressibility] [ Young modulus (E) ][ Poisson's ratio (ν) ]
[ Isothermal Compressibility ][ Isentropic Compressibility ]
[Fluid compressibility] [Pore compressibility] [Total compressibility][ Compressibility (β or c)]