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Material property of a solid body measuring as proportionality coefficient between tensile stress  \sigma (force per unit area) and axial strain   \epsilon(proportional deformation) in the linear elastic region of a material:

(1) E = \frac{\sigma}{\epsilon}


Young modulus depends on porosity as:

(2) E = E_0 \cdot \left( 1- \frac{\phi}{\phi_c} \right)^f

where

E_0

Young modulus of solid material 

\phi

porosity

usually  \phi \in 0 \div 0.4

\phi_c

critical porosity 

usually  \phi_c \approx 1

f

characteristic exponent

usually  f \in 1.1 \div 1.7

 


See Also


Physics / Mechanics /  Continuum mechanics / Continuum Body / Deformation

[Compressibility][ Poisson's ratio (ν) ]

initial pore compressibility ]

Geomechanical Rock Modelling ][ Young modulus – Porosity @model ][ Young modulus – thermal expansion @model ]





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