Abstract
Friedel statistics are used to develop a scheme for calculating the force required to detach an edge dislocation from obstacles of different strength which pin it. A mechanism is proposed for hardening crystalline materials by using coherent precipitates. The scheme is based on the difference of the equilibrium structures of the matrix and precipitate. The Russell-Brown model of dispersion hardening of aging alloys is used to formulate a new criterion for determining the maximum force of interaction between a dislocation with a precipitate which it cuts through. The increase in the yield strength of certain irradiated iron-based model alloys with bcc structure as a result of the hardening of the alloys by coherent copper-nickel-manganese precipitates and micropores separately and in combination is calculated.
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