Nonlinear Continua

  • Eduardo N. Dvorkin
  • Marcela B. Goldschmit

Part of the Computational Fluid and Solid Mechanics book series (COMPFLUID)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 1-5
  3. Pages 67-84
  4. Pages 85-113
  5. Pages 115-181
  6. Pages 183-212
  7. Back Matter
    Pages 213-259

About this book

Introduction

This book develops a modern presentation of Continuum Mechanics, oriented towards numerical applications in the fields of nonlinear analysis of solids, structures and fluid mechanics. The kinematics of the continuum deformation, including pull-back / push-forward transformations between different configurations, stress and strain measures, balance principles, constitutive relations and variational principles are developed using general curvilinear coordinates. Even though the mathematical presentation of the different topics is quite rigorous, an effort is made to link formal developments with engineering physical intuition.

Keywords

Solid and Structural Mechanics Tensor computational mechanics continuum mechanics fluid mechanics kinematics mechanics nonlinear analysis stress structures tensor analysis variational principles

Authors and affiliations

  • Eduardo N. Dvorkin
    • 1
  • Marcela B. Goldschmit
    • 1
  1. 1.Engineering SchoolUniversity of Buenos Aires and Center for Industrial ResearchCampanaArgentina

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-29264-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-24985-6
  • Online ISBN 978-3-540-29264-7
  • Series Print ISSN 1860-482X
  • About this book