TY - JOUR
T1 - Evaluation of the effective elastic moduli of tetragonal fiber-reinforced composites based on Maxwell's concept of equivalent inhomogeneity
AU - Mogilevskaya, Sofia G.
AU - Kushch, Volodymyr I.
AU - Stolarski, Henryk K.
AU - Crouch, Steven L.
N1 - Funding Information:
The first author gratefully acknowledges support from the Theodore W. Bennett Chair, University of Minnesota. Appendix A
PY - 2013/12
Y1 - 2013/12
N2 - Maxwell's concept of an equivalent inhomogeneity is employed for evaluating the effective elastic properties of tetragonal, fiber-reinforced, unidirectional composites with isotropic phases. The microstructure induced anisotropic effective elastic properties of the material are obtained by comparing the far-field solutions for the problem of a finite cluster of isotropic, circular cylindrical fibers embedded in an infinite isotropic matrix with that for the problem of a single, tetragonal, circular cylindrical equivalent inhomogeneity embedded in the same isotropic matrix. The former solutions precisely account for the interactions between all fibers in the cluster and for their geometrical arrangement. The solutions to several example problems that involve periodic (square arrays) composites demonstrate that the approach adequately captures microstructure induced anisotropy of the materials and provides reasonably accurate estimates of their effective elastic properties.
AB - Maxwell's concept of an equivalent inhomogeneity is employed for evaluating the effective elastic properties of tetragonal, fiber-reinforced, unidirectional composites with isotropic phases. The microstructure induced anisotropic effective elastic properties of the material are obtained by comparing the far-field solutions for the problem of a finite cluster of isotropic, circular cylindrical fibers embedded in an infinite isotropic matrix with that for the problem of a single, tetragonal, circular cylindrical equivalent inhomogeneity embedded in the same isotropic matrix. The former solutions precisely account for the interactions between all fibers in the cluster and for their geometrical arrangement. The solutions to several example problems that involve periodic (square arrays) composites demonstrate that the approach adequately captures microstructure induced anisotropy of the materials and provides reasonably accurate estimates of their effective elastic properties.
KW - Circular cylindrical fibers
KW - Elastic moduli
KW - Fourier series
KW - Maxwell's methodology
KW - Tetragonal fiber-reinforced composites
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U2 - 10.1016/j.ijsolstr.2013.08.008
DO - 10.1016/j.ijsolstr.2013.08.008
M3 - Article
AN - SCOPUS:84885421888
SN - 0020-7683
VL - 50
SP - 4161
EP - 4172
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 25-26
ER -