Compos.Sci.Technol. 61, 1581-1590
W. Han, A. Eckschlager and H.J. Böhm
CDL Functionally Oriented Materials Design,
Institute of Lightweight Structures and Aerospace Engineering,
TU Wien, Vienna, Austria
A study of particle reinforced metal matrix composites (MMCs) by
three-dimensional multi-inclusion unit cells is presented.
It employs cube shaped cells containing some 20 randomly positioned spherical
inclusions to approximate statistically homogeneous arrangements of elastic
particles embedded in an elastoplastic matrix.
Three-dimensional simple periodic arrays as well as two-dimensional
arrangements of particles in a matrix are considered for comparison.
Uniaxial tensile loading is modeled and results for the macroscale and
microscale mechanical responses are evaluated in terms of ensemble and phase
To assess damage initiation by particle fracture the maximum principal stresses
in the elastic inclusions are used to calculate fracture probabilities using
Clear differences between multi-particle models and simple periodic
arrangements as well as between planar and three-dimensional models are found
in terms of the overall moduli, of the phase averages and standard deviations
of the microscale stress and strain fields, and of the particle fracture
Thermal residual stresses in metal matrix composites are studied by three-dimensional multi-inclusion unit cell models that employ a limited number of randomly positioned spherical inclusions embedded in the ductile matrix. The residual stresses due to cooling down are evaluated and predictions of their effects on the mechanical response under unidirectional tensile loading are compared with corresponding results for the initially stress free (virgin) material. The same load cases are studied by planar unit cell models and the results are compared in terms of the predicted overall material properties and the microscale stress and strain fields.