J.Mech.Phys.Sol. 45, 1281-1302, 1997
T. Reiter¹², G.J.Dvorak¹, and V. Tvergaard³
¹Center for Composite Materials and Structures,
Rensselaer Polytechnic Institute, Troy, NY
²Institute of Lightweight Structures and Aerospace Engineering,
TU Wien, Vienna, Austria
³Department of Solid Mechanics
Technical University of Denmark, Lyngby, Denmark
Elastic response of selected plane-array models of graded composite
microstructures is examined under both uniform and linearly varying boundary
tractions and displacements, by means of detailed finite element studies of
large domains containing up to several thousand inclusions.
Models consisting of piecewise homogeneous layers with equivalent elastic
properties estimated by Mori-Tanaka and self-consistent methods are also
analysed under similar boundary conditions.
Comparisons of the overall and local fields predicted by the discrete and
homogenized models are made using a C/SiC composite system with very different
Young's moduli of the phases, and relatively steep compositional gradients.