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Additional resources for Comprehensive Composite Materials [Vol 3 - Metal Matrix Composites]
The model of Ashby and Johnson (1969) is frequently used to predict the minimum misfit strain required to nucleate dislocations at a sphere of radius rp. The model, based on energy arguments, was readdressed by Xin et al. (1998) and extended to cover externally applied strains. The Ashby±Johnson model predicts that critical strain required for nucleation at an incoherent particle increases approximately as 1/rp. Nucleation barriers limit plastic relaxation at small particle size; for this reason, dislocation densities do not actually increase without bound at vanishingly small particle sizes as Equation (11) predicts.
The chief advantages are the freedom from thinning artifacts and surface effects, a result of the fact that dislocations are visible in the top 40 mm of a decorated sample, and the large observable volume (of the order of 1±5 mm3). Recently, AgCl-containing glass spheres and short fibers have been used as model composites for the study of thermal-mismatch dislocations produced during cooling (Dunand and Mortensen, 1991a, 1991b, 1991c, 1991d, 1991e; Calhoun and Mortensen, 2000a) and their configuration under applied stress (Calhoun and Mortensen, 1999).
Measured values of 70 and 20 MPa for the monolithic alloys. In what follows we consider the dislocation-based mechanisms responsible for the strength of metals and discuss how they are affected by the presence of reinforcements. 2 Lattice friction The crystalline nature of the lattice itself provides some resistance to dislocation motion. This is called the lattice friction or Peierls stress t0. , 1991). The Peierls stress is low in the common matrix metals Al, Cu, and Mg and can be neglected in these materials.