Abstract
A simple hardening model is proposed describing the increase of the critical resolved shear stress (CRSS) of MgO caused by coherent, stress-free magnesia ferrite particles. The calculation is based on the following assumptions: 1. (i) The particles are cut by dislocation pairs which are coupled by the antiphase boundary (APB) created in the spinel lattice of the sheared particles. The pair-coupling of the dislocations depends on particle size and determines the CRSS as predicted by Gleiter and Hornbogen. 2. (ii) In addition, the cutting dislocations create ledges of new matrix-particle interface. This chemical hardening gives a marked contribution to CRSS for small particle sizes. The comparison with experiments is presented in the subsequent paper (part II).
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