Nonlinear Mechanics of Soft Fibrous Materials edited by Luis Dorfmann, Raymond W. Ogden.

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 phenomenol...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Dorfmann, Luis (Editor), Ogden, Raymond W. (Editor)
Format: eBook
Language:English
Published: Vienna : Springer Vienna : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:CISM International Centre for Mechanical Sciences, Courses and Lectures, 559
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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505 0 |a Nonlinear elasticity with applications to soft fibre-reinforced materials -- Porous materials with statistically oriented reinforcing fibres -- Nonlinear elasticity for soft fibrous materials -- Modeling of bioactive materials -- Incremental equations for soft fibrous materials -- Effects of fibre bending and twisting resistance on the mechanics of fibre-reinforced elastomers. 
520 |a 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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