Defects, dislocations and the general theory.- Approaches to
generalized continua.- Generalized continuum modelling of crystal
plasticity.- Introduction to discrete dislocation dynamics.
The book contains four lectures on generalized continua and
dislocation theory, reflecting the treatment of the subject at
different scales. G. Maugin provides a continuum formulation of
defects at the heart of which lies the notion of the material
configuration and the material driving forces of in-homogeneities
such as dislocations, disclinations, point defects, cracks,
phase-transition fronts and shock waves. C. Sansour and S. Skatulla
start with a compact treatment of linear transformation groups with
subsequent excursion into the continuum theory of generalized
continua. After a critical assessment a unified framework of the
same is presented. The next contribution by S. Forest gives an
account on generalized crystal plasticity. Finally, H. Zbib
provides an account of dislocation dynamics and illustrates its
fundamental importance at the smallest scale. In three
contributions extensive computational results of many examples are
presented.
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