TY - JOUR
T1 - Elastic coefficients of composites containing spherical inclusions in a periodic array
AU - Sangani, Ashok S.
AU - Lu, Wenqiang
N1 - Funding Information:
Acknowledgement is made to the Donors of the Petroleum Research Fund, administered by the American Chemical Society, for the support of this research.
PY - 1987
Y1 - 1987
N2 - The effective elasticity tensor of a composite medium consisting of spherical elastic particles firmly embedded in a periodic cubic arrangement into another elastic medium is characterized by three scalars α, β and γ. We employ a method of singularity distribution and determine these scalars for various values of volume fraction of the spheres and the Lamé constants of the particles and the matrix. The results, which are presented for the simple, body-centered and face-centered cubic arrays, are in agreement with the previously known results of Nunan and Keller (J. Mech. Phys. Solids 32, 259, 1984) for the rigid particles and of Iwakuma and Nemat-Nasser (Computers and Structures 16, 13, 1983) for the non-rigid particles.
AB - The effective elasticity tensor of a composite medium consisting of spherical elastic particles firmly embedded in a periodic cubic arrangement into another elastic medium is characterized by three scalars α, β and γ. We employ a method of singularity distribution and determine these scalars for various values of volume fraction of the spheres and the Lamé constants of the particles and the matrix. The results, which are presented for the simple, body-centered and face-centered cubic arrays, are in agreement with the previously known results of Nunan and Keller (J. Mech. Phys. Solids 32, 259, 1984) for the rigid particles and of Iwakuma and Nemat-Nasser (Computers and Structures 16, 13, 1983) for the non-rigid particles.
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U2 - 10.1016/0022-5096(87)90024-X
DO - 10.1016/0022-5096(87)90024-X
M3 - Article
AN - SCOPUS:0023126140
SN - 0022-5096
VL - 35
SP - 1
EP - 21
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 1
ER -