Overview
- Modeling the mechanical behavior of soft fibrous materials
- Nonlinear theory of soft biological tissues and elastomeric polymers
- Nonlinear elasticity of fiber-reinforced materials
- Bending and twisting of flexible filaments
Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 559)
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Table of contents (6 chapters)
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Front Matter
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Nonlinear Mechanics of Soft Fibrous Materials
Editors: Luis Dorfmann, Raymond W. Ogden
Series Title: CISM International Centre for Mechanical Sciences
DOI: https://doi.org/10.1007/978-3-7091-1838-2
Publisher: Springer Vienna
eBook Packages: Engineering, Engineering (R0)
Copyright Information: CISM Udine 2015
Hardcover ISBN: 978-3-7091-1837-5Published: 02 December 2014
eBook ISBN: 978-3-7091-1838-2Published: 02 December 2014
Series ISSN: 0254-1971
Series E-ISSN: 2309-3706
Edition Number: 1
Number of Pages: VII, 305
Number of Illustrations: 44 b/w illustrations, 25 illustrations in colour