Advertisement

Microcontinuum Field Theories

I. Foundations and Solids

  • A. Cemal Eringen

Table of contents

  1. Front Matter
    Pages i-xvi
  2. A. Cemal Eringen
    Pages 1-34
  3. A. Cemal Eringen
    Pages 35-56
  4. A. Cemal Eringen
    Pages 57-81
  5. A. Cemal Eringen
    Pages 83-99
  6. A. Cemal Eringen
    Pages 101-248
  7. A. Cemal Eringen
    Pages 249-267
  8. A. Cemal Eringen
    Pages 269-285
  9. A. Cemal Eringen
    Pages 287-299
  10. Back Matter
    Pages 301-325

About this book

Introduction

Microcontinuum field theories constitute an extension of classical field theories -- of elastic bodies, deformations, electromagnetism, and the like -- to microscopic spaces and short time scales. Material bodies are here viewed as collections of large numbers of deformable particles, much as each volume element of a fluid in statistical mechanics is viewed as consisting of a large number of small particles for which statistical laws are valid. Classical continuum theories are valid when the characteristic length associated with external forces or stimuli is much larger than any internal scale of the body under consideration. When the characteristic lengths are comparable, however, the response of the individual constituents becomes important, for example, in considering the fluid or elastic properties of blood, porous media, polymers, liquid crystals, slurries, and composite materials. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity.

Keywords

Dissipation composite material deformation kinematics mechanics porous media rotation solids stability stress thermodynamics

Authors and affiliations

  • A. Cemal Eringen
    • 1
  1. 1.Princeton UniversityLittletonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0555-5
  • Copyright Information Springer Science+Business Media New York 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6815-4
  • Online ISBN 978-1-4612-0555-5
  • Buy this book on publisher's site