Abstract
The transition from single crystal to polycrystal rate-independent plasticity is investigated according to two distinct approaches. The first, which is based on experimental observations of the influence of grain boundaries and junctions on the plastic response of grains of a polycrystal, emphasizes the inhomogeneous character of the intragranular plastic strain field; consequently, the average plastic behaviour of a grain completely embedded within a polycrystalline aggregate does not reduce to that of an isolated single crystal Though this conclusion can hardly lead, at the moment, to a quantitative estimate of such a difference, several attempts at quasi-physical modelling of the plastic behaviour of polycrystals are reported. The general principles of the corresponding procedure are first analysed, with special attention to the ‘localization’ problem, which is concerned with the relationship between local and overall mechanical variables. Several models are then discussed, which have a space phase distribution independence as a common feature. Typical illustrations of the predictive ability of these models are reported, with special emphasis on the self-consistent method. This method is finally shown to provide a possible guide for the introduction of space distribution effects, through the definition of multi-site self-consistent schemes.
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© 1986 Elsevier Applied Science Publishers Ltd
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Zaoui, A. (1986). Quasi-Physical Modelling of the Plastic Behaviour of Polycrystals. In: Gittus, J., Zarka, J. (eds) Modelling Small Deformations of Polycrystals. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4181-6_7
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DOI: https://doi.org/10.1007/978-94-009-4181-6_7
Publisher Name: Springer, Dordrecht
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