Ec. Aifantis, NONLINEARITY, PERIODICITY AND PATTERNING IN PLASTICITY AND FRACTURE, International journal of non-linear mechanics, 31(6), 1996, pp. 797-809
The role and implications of microstructure heterogeneity and non-line
arity in interpreting a variety of experimental observations during pl
astic flow and fracture are outlined. Traditionally, these observation
s were not related to theoretical modelling efforts as recent techniqu
es in non-linear dynamics were not available and usual applications we
re limited to standard materials and processes where micro- and macros
cales do nor interact and can be treated independently. Advanced techn
ology has imposed the need for the development of models accounting fo
r scale coupling effects. One class of such models, the so-called grad
ient models, will be described in the paper in connection with the phe
nomena of dislocation and strain patterning, as well as with existing
observations on oscillatory fracture. Copyright (C) 1996 Published by
Elsevier Science Ltd.