Different failure mechanisms determine strength and fracture toughness of particle composites as, for example particle
debonding and ductile matrix fracture. In real composites the particles are not homogeneously distributed. This leads to
different levels of particle interaction under loading and consequently to higher stress concentrations in the matrix and at
the particle/matrix interface for closer particles. This local inhomogeneity is modelled and the effect on stress-strain
behaviour is discussed. On the other hand the variation of stresses in front of a crack also effects the stress concentration
as a function of crack distance in the periphery of the local inhomogeneously distributed particles. This variation is
considered for the modelling of fracture toughness of such composites. The influence of the pair distribution function on
dissipation energies and on fracture toughness as a function of particle volume fraction is discussed.
Bernd Lauke, "Stress-strain and fracture toughness behaviour of composites reinforced with inhomogeneously distributed particles," Proc. SPIE 10165, Behavior and Mechanics of Multifunctional Materials and Composites 2017, 101650U (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 27, 2017; Published: 11 April 2017); https://doi.org/10.1117/12.2259892.
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