Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities

Measuring In-plane Elastic Moduli of Composites with Arrays

Ultrasonic measurements of elastic moduli of composite materials have traditionally been made on either small specimens cut from a iar ger component or by using a scanning technique with the specimen immersed in a water bath. A phase-insensitive array has been developed for rapid nondestructive measurement of in-plane elastic moduli. The array characteristics allow for determinat ion of energy ...

Two-parameter integral representation formula for the effective elastic moduli of two-phase composites

Effective elastic moduli in solids with high density of cracks

We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented cracks of equal length in an isotropic plane-strain medium for lower crack densities; for higher densities the material is weaker than predicted due to precurs...

On the Elastic Moduli of Unidirectional Fibre Reinforced Composites

A simple analytical technique is presented for obtaining lower bounds to the effective moduli of unidirec-tional fibre-reinforced composites with any repetitive array of fibres. The analysis depends upon a direct method involving stress-equilibrium and strain-continuity considerations, and thus it differs from the type of analysis due to Hashin and Hill (and others) involving variational method...

Effective medium theory for elastic composites

The theoretical foundation of a variant on effective medium theories for elastic constants of composites is presented and discussed. The connection between this approach and the methods of Zeller and Dederichs, Korringa, and Gubernatis and Krumhansl is elucidated. A review of the known relationships between the various effective medium theories and rigorous bounding methods for elastic constant...