TY - JOUR

T1 - On composites with periodic structure

AU - Nemat-Nasser, S.

AU - Iwakuma, T.

AU - Hejazi, M.

N1 - Funding Information:
* This work was supported in part by the U.S. Army Research Office under Grant DAA29-79-C-0168. and in part by the National Aeronautics and Space Administr:~.tion under Grant NAG 3-134 to Northwestern University. ** Present address: Department of Civil Engineering, The University of Utah, Salt Lake City, UT 84112. U.S.A.

PY - 1982/9

Y1 - 1982/9

N2 - The overall moduli of a composite with an isotropic elastic matrix containing periodically distributed (anisotropic) inclusions or voids, can be expressed in terms of several infinite series which only depend on the geometry of the inclusions or voids, and hence can be computed once and for all for given geometries. For solids with periodic structures these infinite series play exactly the same role as does Eshelby's tensor for a single inclusion or void in an unbounded elastic medium. For spherical and circular-cylindrical geometries, the required infinite series are calculated and the results are tabulated. These are then used to estimate the overall elastic moduli when either the overall strains or the overall stresses are prescribed, obtaining the same results. These results are compared with other estimates and with experimental data. It is found that the model of composites with periodic structure yields estimates in excellent agreement with the experimental observations.

AB - The overall moduli of a composite with an isotropic elastic matrix containing periodically distributed (anisotropic) inclusions or voids, can be expressed in terms of several infinite series which only depend on the geometry of the inclusions or voids, and hence can be computed once and for all for given geometries. For solids with periodic structures these infinite series play exactly the same role as does Eshelby's tensor for a single inclusion or void in an unbounded elastic medium. For spherical and circular-cylindrical geometries, the required infinite series are calculated and the results are tabulated. These are then used to estimate the overall elastic moduli when either the overall strains or the overall stresses are prescribed, obtaining the same results. These results are compared with other estimates and with experimental data. It is found that the model of composites with periodic structure yields estimates in excellent agreement with the experimental observations.

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U2 - 10.1016/0167-6636(82)90017-5

DO - 10.1016/0167-6636(82)90017-5

M3 - Article

AN - SCOPUS:0020186189

VL - 1

SP - 239

EP - 267

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

IS - 3

ER -