CISM International Centre for Mechanical Sciences

Nonlinear Mechanics of Soft Fibrous Materials

Editors: Dorfmann, Luis, Ogden, Raymond W. (Eds.)

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  • 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
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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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook £111.50
price for United Kingdom (gross)
  • ISBN 978-3-7091-1838-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover £139.99
price for United Kingdom (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Mechanics of Soft Fibrous Materials
Editors
  • Luis Dorfmann
  • Raymond W. Ogden
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
559
Copyright
2015
Publisher
Springer-Verlag Wien
Copyright Holder
CISM Udine
eBook ISBN
978-3-7091-1838-2
DOI
10.1007/978-3-7091-1838-2
Hardcover ISBN
978-3-7091-1837-5
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VII, 305
Number of Illustrations
44 b/w illustrations, 25 illustrations in colour
Topics