Int.J.Sol.Struct. 87, 90-101, 2016
H.J. Böhm, A. Rasool
Institute of Lightweight Design and Structural
TU Wien, Vienna, Austria
Particle shape effects in thermoelastoplastic ductile matrix composites are
This is done by studying generic, periodic, multi-inhomogeneity volume elements
that contain 20 volume percent of randomly positioned and, where applicable,
randomly oriented, identical particles taking the form of spheres, regular
octahedra, cubes, or regular tetrahedra.
The Finite Element method is used for obtaining the responses of the initially
stress-free volume elements to single, stress controlled loading cycles at four
fixed macroscopic stress triaxialities, viz., loading by shear, uniaxial,
in-plane hydrostatic, and hydrostatic applied stresses. In addition, a thermal
loading cycle and the effects of residual stresses on shear loading are
Results are evaluated as ensemble averages over five phase arrangements of each type. They are presented in terms of macroscopic responses as well as the evolution of the phase-level averages and standard deviations of the microscopic stress and strain fields.
Consistent shape effects are predicted for all load cases considered, with the responses of cube-shaped and octahedral particles being fairly similar and lying between the predictions obtained for spherical and tetrahedral inhomogeneities. Among the shapes studied, tetrahedral particles are found to give rise to the stiffest responses under mechanical loading.