The purpose of the course is to present and demonstrate the
use of finite element based methods for the solution of
problems involving plasticity.
Particular attention will be devoted to finite strain conditions,
with consideration being given to both rate independent and
rate dependent situations. The use of numerical techniques is
essential for solving problem involving complex geometry and
including non-linear geometrical and material behaviour and
such computations are being increasingly undertaken in
industrial and research environments. The continuing advances
in workstation technology and future hardware developments
will accelerate the acceptance of such numerical techniques for
commercial analysis and design.
There have been significant advances in the last few years in
the development of robust and efficient solution procedures for
In particular, the treatment of finite strain plasticity problems
has reached a sufficient stage of maturity for the solution of
practical problems to be undertaken with confidence.
The course considers rate independent (quasi-static) and rate
dependent (viscoplastic and dynamic) situations for both
infinitesimal and finite strain conditions.
In addition to establishing the fundamental theoretical
expressions in a form suitable for numerical implementation,
emphasis is placed on the development and implementation of
consistently linearised algorithms to ensure quadratic
convergence rates. Other topics associated with the simulation
of practical problems will be covered; including contact/friction
modelling, damage evolution, advanced constitutive models and
adaptive meshing concepts.
The course will also provide a short introduction to the topic of
discrete elements which, when used in conjunction with
conventional finite elements, provide a powerful procedure for
several important classes of problems, such as multi-fracturing
Consideration will be given to the practical difficulties
encountered in the solution of industrial problems and time will
be devoted to general discussion and the provision of specific