The positions of the individual sorew dislocations piled-up against a non-coherent cylindrical inclusion that has elastic constants different from those of the matrix have been calculated. The non-constant stress field close to the particle has been taken into account as well as the image stresses
A dislocation pile-up model for the yield stress of a composite
β Scribed by V. Jayaram; N.N. Viswanathan; T.A. Abinandanan
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 225 KB
- Volume
- 47
- Category
- Article
- ISSN
- 1359-6454
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β¦ Synopsis
AbstractΓA numerical model to simulate yielding in a composite is developed for the transmission of slip across a dissimilar interface through the formation of co-planar dislocation arrays in both phases. A pileup of dislocations in the soft phase is assumed to nucleate dislocations in the hard phase in which movement is dictated by lattice friction stress. The polycrystalline composite yield stress is calculated by determining the equilibrium positions of the dislocation arrays as a function of the length scales, elastic constants and Burgers vectors in the two phases, with particular reference to melt oxidized AlΒ±Al 2 O 3 , in which homophase boundaries are absent, and to the commercially important system CoΒ±WC. The hardness values predicted from this model are in good agreement with experimentally measured values in the above systems. The implications of these results for the design of hard composite microstructures are elucidated.
π SIMILAR VOLUMES
A criterion is derived for yielding ahead of a dislocation pile-up subject to a non-uniform shear stress. The theory is applied to the problem of twin initiation by slip bands in the vicinity of a crack tip, the predictions being related to experimental results and the fracture mechanics approach to