Nonlinear mechanics of soft fibrous materials [electronic resource] / Luis Dorfmann, Raymond W. Ogden, editors.

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Nonlinear mechanics of soft fibrous materials [electronic resource] / Luis Dorfmann, Raymond W. Ogden, editors.

9783709118382 electronic book
3709118387 electronic book
9783709118375

Wien [Austria] : Springer, [2015]

English

1 online resource.

10.1007/978-3-7091-1838-2 doi

TA418.9.C6

620.118

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.

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Print version: 9783709118375

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