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  2. Bulk modulus - Wikipedia

    en.wikipedia.org/wiki/Bulk_modulus

    The bulk modulus (or or ) of a substance is a measure of the resistance of a substance to bulk compression. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume .

  3. Elastic modulus - Wikipedia

    en.wikipedia.org/wiki/Elastic_modulus

    The bulk modulus can be calculated from the slope of this curve in the linear elastic region.The bulk modulus is defined as K=−VdV/dP, where V is the original volume, dP is the change in pressure, and dV is the change in volume. [7]

  4. Elastic properties of the elements (data page) - Wikipedia

    en.wikipedia.org/wiki/Elastic_properties_of_the...

    Elastic properties describe the reversible deformation (elastic response) of a material to an applied stress. They are a subset of the material properties that provide a quantitative description of the characteristics of a material, like its strength. Material properties are most often characterized by a set of numerical parameters called moduli.

  5. Rule of mixtures - Wikipedia

    en.wikipedia.org/wiki/Rule_of_mixtures

    The actual elastic modulus lies between the curves. In materials science , a general rule of mixtures is a weighted mean used to predict various properties of a composite material . [ 1 ] [ 2 ] [ 3 ] It provides a theoretical upper- and lower-bound on properties such as the elastic modulus , ultimate tensile strength , thermal conductivity ...

  6. Murnaghan equation of state - Wikipedia

    en.wikipedia.org/wiki/Murnaghan_equation_of_state

    Generally, at constant temperature, the bulk modulus is defined by: = (). The easiest way to get an equation of state linking P and V is to assume that K is constant, that is to say, independent of pressure and deformation of the solid, then we simply find Hooke's law. In this case, the volume decreases exponentially with pressure.

  7. Gassmann's equation - Wikipedia

    en.wikipedia.org/wiki/Gassmann's_equation

    where () and () are the rock bulk moduli saturated with fluid 1 and fluid 2, () and () are the bulk moduli of the fluids themselves, and is the rock's porosity. Step 3: Leave the shear modulus unchanged (rigidity is independent of fluid type):

  8. Birch–Murnaghan equation of state - Wikipedia

    en.wikipedia.org/wiki/Birch–Murnaghan_equation...

    The third-order Birch–Murnaghan isothermal equation of state is given by = [() / /] {+ (′) [() /]}. where P is the pressure, V 0 is the reference volume, V is the deformed volume, B 0 is the bulk modulus, and B 0 ' is the derivative of the bulk modulus with respect to pressure. The bulk modulus and its derivative are usually obtained from ...

  9. Cauchy number - Wikipedia

    en.wikipedia.org/wiki/Cauchy_number

    The isentropic bulk modulus =, where is the specific heat capacity ratio and p is the fluid pressure. If the fluid obeys the ideal gas law , we have K s = γ p = γ ρ R T = ρ a 2 {\displaystyle K_{s}=\gamma p=\gamma \rho RT=\,\rho a^{2}} ,