This book deals with theoretical aspects of modelling the mechanical
behaviour of manufacturing, processing, transportation or other systems
in which the processed or supporting material is travelling through the
system. Examples of such applications include paper making, transmission
cables, band saws, printing presses, manufacturing of plastic films and
sheets, and extrusion of aluminium foil, textiles and other materials.
The work focuses on out-of-plane dynamics and stability analysis for
isotropic and orthotropic travelling elastic and viscoelastic materials,
with and without fluid-structure interaction, using analytical and
semi-analytical approaches. Also topics such as fracturing and fatigue
are discussed in the context of moving materials. The last part of the
book deals with optimization problems involving physical constraints
arising from the stability and fatigue analyses, including uncertainties
in the parameters.
The book is intended for researchers and specialists in the field,
providing a view of the mechanics of axially moving materials. It can
also be used as a textbook for advanced courses on this specific topic.
Considering topics related to manufacturing and processing, the book can
also be applied in industrial mathematics.