The book presents a state-of-the-art overview of the fundamental
theories, established models and ongoing research related to the
modeling of these materials. Two approaches are conventionally used
to develop constitutive relations for highly deformable fibrous
materials. According to the phenomenological approach, a strain
energy density function can be defined in terms of strain
invariants. The other approach is based on kinetic theories, which
treats a fibrous material as a randomly oriented inter-tangled
network of long molecular chains bridged by permanent and temporary
junctions. At the micro-level, these are associated with chemical
crosslinks and active entanglements, respectively. The papers
include carefully crafted overviews of the fundamental formulation
of the three-dimensional theory from several points of view, and
address their equivalences and differences. Also included are
solutions to boundary-value problems which are amenable to
experimental verification. A further aspect is the elasticity of
filaments, stability of equilibrium and thermodynamics of the
molecular network theory.
General
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