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Beyond slip circle constructions: the cohesion limit of a polycrystal

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Slip circle constructions produce a simple semi-quantitative framework for the analysis of indentation plasticity for wedge-shaped and cylindrical indenters. A method is suggested to relate these patterns better to slip systems in real crystals. Basically, combinations of slip systems which produce rotations and not symmetrical strains can be used to describe crystallographic slip leading to the pile-up of matter around the indenter. Such combinations have been ignored in the past. They lead also to a Hall-Petch law in polycrystals. The residual stress at grain boundaries provides a force driving intergranular fracture. The same reasoning provides a simple explanation for the lack of adhesion between sliding blocks in contact, even when plastic junctions are formed between them, and Amonton’s law is obeyed.

This talk is part of the Surfaces, Microstructure and Fracture Group series.

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