Modelling the upper yield point and the brittle-ductile transition of silicon wafers in three-point bend tests
Résumé
Three point bend tests carried out by Folk [1] on initially dislocation-free specimens of semiconductor-grade single crystals of Si showed that, for a given strain-rate, above a critical temperature, Tc, and at a certain stress, a large load drop occurs upon yielding and the sample deforms plastically. Below Tc specimens fail by brittle fracture after a small load drop, or at even lower temperatures without apparent prior plastic flow. This paper describes a simple dislocation model and computer simulation to explain the occurrence of a yield drop, the strain-rate dependence of Tc and Folk's etch pit observations of the plastic zone. Good agreement is obtained between the temperature dependence of the upper yield stress and the strain-rate dependence of Tc with the predictions of the model. These parameters are controlled by dislocation velocity.
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