Modeling Nonlinear Problems in the Mechanics of Strings and Rods The Role of the Balance Laws /

This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive...

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Bibliographic Details
Main Author: O'Reilly, Oliver M. (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Interaction of Mechanics and Mathematics,
Subjects:
Dynamical systems.
Mechanics, Applied.
Solids.
Nonlinear Optics.
Dynamical Systems.
Solid Mechanics.
Online Access:Full-text access
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Table of Contents:
  • Part I Mechanics of Strings
  • Mechanics of a String
  • Applications of the Mechanics of a String
  • Link, Writhe, and Twist
  • Part II Mechanics of Rods
  • Theory of the Elastica and a Selection of its Applications
  • Kirchoff's Rod Theory
  • Theory of an Elastic Rod with Extension and Shear
  • Green and Naghdi's Rod Theory
  • Part III Background Material
  • A Rapid Review of Some Elements of Continuum Mechanics
  • Variational Methods.

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