Open AccessThe First Pressure Derivative of the Shear Modulus of Porous Materials
Author(s) -
Walton K.
Publication year - 1974
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1974.tb03643.x
Subject(s) - isotropy , porosity , shear modulus , moduli , bulk modulus , shear (geology) , materials science , elastic modulus , transverse isotropy , modulus , composite material , physics , optics , quantum mechanics
Summary A general theory for the calculation of the second order effective elastic moduli of porous materials in which the porosity is in the form of isolated cavities is presented. The particular case of spherical cavities distributed randomly within an isotropic matrix in such a manner that the material is macroscopically isotropic is then considered in detail and an expression for the first pressure derivative of the effective shear modulus of such a material is obtained correct to first order in the porosity.