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Nonlinear Mechanics of Soft Fibrous Materials

  • Luis Dorfmann
  • Raymond W. Ogden

Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 559)

Table of contents

About this book

Introduction

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.

Keywords

Anisotropic Elasticity Fiber-reinforced Materials Fibrous Soft Biological Tissues Mechanics of Flexible Filaments Nonlinear Elasticity of Fibrous Composites

Editors and affiliations

  • Luis Dorfmann
    • 1
  • Raymond W. Ogden
    • 2
  1. 1.Tufts UniversityMedfordUSA
  2. 2.University of GlasgowGlasgowUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-1838-2
  • Copyright Information CISM Udine 2015
  • Publisher Name Springer, Vienna
  • eBook Packages Engineering
  • Print ISBN 978-3-7091-1837-5
  • Online ISBN 978-3-7091-1838-2
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site