TY - JOUR
T1 - Effective elastic properties for a periodic bicontinuous porous medium
AU - Chapman, A. M.
AU - Higdon, J. J.L.
N1 - Funding Information:
This work was supported by the Petroleum Research Fund administered by the American Chemical Society. Additional funding was provided by the National Science Foundation. Computations were performed on the Cray Y-MP at the National Center for Supcrcomputmg Applications at the University of Illinois.
PY - 1994/2
Y1 - 1994/2
N2 - The effective elastic properties of a bicontinuous porous medium are calculated. The model geometry assumes a continuous solid phase consisting of an array of overlapping spheres on a simple cubic lattice. The interstitial spaces form a second continuous phase saturated with a compressible fluid. Following the approach of Nunan and Keller (J. Mech. Phys. Solids 32, 259-280, 1984), the anisotropic elasticity tensor Cijkl is expressed in terms of three scalar parameters α, β and γ. Numerical computations are performed to evaluate these parameters as a function of volume fraction. The numerical computations are complemented by an asymptotic theory valid for small solid contact area. The variational results of Hashin and Shtrikman (J. Mech. Phys. Solids 10, 343-352, 1962b) are employed to estimate the elastic properties of isotropic polycrystals formed from randomly oriented grains of the anisotropic medium.
AB - The effective elastic properties of a bicontinuous porous medium are calculated. The model geometry assumes a continuous solid phase consisting of an array of overlapping spheres on a simple cubic lattice. The interstitial spaces form a second continuous phase saturated with a compressible fluid. Following the approach of Nunan and Keller (J. Mech. Phys. Solids 32, 259-280, 1984), the anisotropic elasticity tensor Cijkl is expressed in terms of three scalar parameters α, β and γ. Numerical computations are performed to evaluate these parameters as a function of volume fraction. The numerical computations are complemented by an asymptotic theory valid for small solid contact area. The variational results of Hashin and Shtrikman (J. Mech. Phys. Solids 10, 343-352, 1962b) are employed to estimate the elastic properties of isotropic polycrystals formed from randomly oriented grains of the anisotropic medium.
UR - http://www.scopus.com/inward/record.url?scp=38149146727&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=38149146727&partnerID=8YFLogxK
U2 - 10.1016/0022-5096(94)90011-6
DO - 10.1016/0022-5096(94)90011-6
M3 - Article
AN - SCOPUS:38149146727
SN - 0022-5096
VL - 42
SP - 283
EP - 305
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 2
ER -