Elementary Continuum Mechanics for Everyone

With Applications to Structural Mechanics

  • Esben Byskov

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 194)

Table of contents

  1. Front Matter
    Pages i-xxx
  2. Continuum Mechanics

    1. Front Matter
      Pages 1-1
    2. Esben Byskov
      Pages 3-4
    3. Esben Byskov
      Pages 5-31
    4. Esben Byskov
      Pages 35-60
    5. Esben Byskov
      Pages 61-85
  3. Specialized Continua

    1. Front Matter
      Pages 87-87
    2. Esben Byskov
      Pages 89-90
    3. Esben Byskov
      Pages 91-124
    4. Esben Byskov
      Pages 125-158
    5. Esben Byskov
      Pages 159-193
  4. Beams with Cross-Sections and Plates with Thickness

    1. Front Matter
      Pages 195-195
    2. Esben Byskov
      Pages 197-197
    3. Esben Byskov
      Pages 241-269
    4. Esben Byskov
      Pages 271-271
  5. Buckling

    1. Front Matter
      Pages 277-277

About this book

Introduction

The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids.

Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures.

A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.

Keywords

Continuum Mechanics Finite Element Method General Principles Principle of Virtual Work Stability

Authors and affiliations

  • Esben Byskov
    • 1
  1. 1., Department of Civil EngineeringAalborg UniversityAalborgDenmark

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-007-5766-0
  • Copyright Information Springer Science+Business Media Dordrecht 2013
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-94-007-5765-3
  • Online ISBN 978-94-007-5766-0
  • Series Print ISSN 0925-0042
  • About this book