Non-linearity, periodicity and patterning in plasticity and fracture

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The role and implications of microstructure heterogeneity and non-linearity in interpreting a variety of experimental observations during plastic flow and fracture are outlined. Traditionally, these observations were not related to theoretical modelling efforts as recent techniques in non-linear dynamics were not available and usual applications were limited to standard materials and processes where micro- and macroscales do not interact and can be treated independently. Advanced technology has imposed the need for the development of models accounting for scale coupling effects. One class of such models, the so-called gradient models, will be described in the paper in connection with the phenomena of dislocation and strain patterning, as well as with existing observations on oscillatory fracture. Copyright © 1996 Published by Elsevier Science Ltd.

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International Journal of Non-Linear Mechanics