Mechanics have played an important role in mathematics, from
infinitesimal calculus, calculus of variations, partial
differential equations and numerical methods (finite elements).
Originally, mechanics treated smooth objects. Technological
progress has evoked the necessity to model and solve more
complicated problems, like unilateral contact and friction,
plasticity, delamination and adhesion, advanced materials, etc. The
new tools include convex analysis, differential calculus for convex
functions, and subgradients of convex functions and extensions for
nonconvex problems. Nonsmooth mechanics is a relatively complex
field, and requires a good knowledge of mechanics and a good
background in some parts of modern mathematics. The present volume
of lecture notes follows a very successful advanced school, with
the aim to cover as much as possible all these aspects. Therefore
the contributions cover mechanical aspects as well as the
mathematical and numerical treatment.
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