*Metall.Mater.Trans.A* **33A**, 3187-3199, 2002

### NORMALIZED DIAGRAMS FOR MICROMECHANICAL ESTIMATES OF THE
ELASTIC RESPONSE OF COMPOSITE MATERIALS

H.E. Pettermann^{1},
H.J. Böhm^{1},
J. Alcalá^{2}

^{1}Institute of Lightweight Structures and Aerospace
Engineering,

TU Wien,
Vienna, Austria

^{2}Dept. of Materials Science and Metallurgical
Engineering,

Universitat Politècnica de Catalunya,
Barcelona, Spain

**Abstract** -
Normalized diagrams for the evaluation of the Young's and shear moduli of
elastic two-phase materials are presented.
The diagrams allow to predict the overall elastic moduli of composites
considering the elastic properties, the volume fractions, and the
micro-topology of the constituents.
Matrix-inclusion topologies with reinforcement by particles, fibers, and
platelets as well as interpenetrating morphologies and porous materials can be
analyzed.
The diagrams are predicated upon well-known micro-mechanical models, such as
the Hashin-Shtrikman bounds, Mori-Tanaka methods and classical
self-consistent schemes which reflect the interaction of the constituents in
inhomogeneous materials.
Comparisons between predictions from the models and experimental results from
the literature are performed to support the applicability of the approaches.

(hjb,021007)