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)
Format Electronic eBook
LanguageEnglish
Published Cham, Switzerland : Springer, 2017.
SeriesInteraction of mechanics and mathematics series,
Subjects
Continuum mechanics.
Deformations (Mechanics) > Mathematical models.
Nonlinear theories.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783319505985
9783319505961
ISSN1860-6245
Physical Description1 online resource (xx, 425 pages) : illustrations (some color)

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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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