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Microcontinuum Field Theories

I. Foundations and Solids

  • Book
  • © 1999

Overview

Authors:
  1. A. Cemal Eringen

    1. Princeton University, Littleton, USA

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  • Emphasizes the fundamentals and the dynamics of microcontinua Thoroughly covers the kinematics of microcontinua, strain, stress tensors, balance laws, thermodynamics, and constitutive equations for solids and fluids subject to electromagnetic fields and mechanical loads Includes discussion on boundary- and initial-value problems and presents variational and uniqueness theorems Offers solutions for many applied problems involving micropolar, microstretch and micromorphic bodies, and

  • electromagnetic solids

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Kinematics

    • A. Cemal Eringen
    Pages 1-34

  3. Stress

    • A. Cemal Eringen
    Pages 35-56

  4. Constitutive Equations

    • A. Cemal Eringen
    Pages 57-81

  5. Electromagnetic Interactions

    • A. Cemal Eringen
    Pages 83-99

  6. Theory of Micropolar Elasticity

    • A. Cemal Eringen
    Pages 101-248

  7. Microstretch Elasticity

    • A. Cemal Eringen
    Pages 249-267

  8. Micromorphic Elasticity

    • A. Cemal Eringen
    Pages 269-285

  9. Electromagnetic Interactions

    • A. Cemal Eringen
    Pages 287-299

  10. Back Matter

    Pages 301-325
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Keywords

About this book

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.

Authors and Affiliations

  • Princeton University, Littleton, USA

    A. Cemal Eringen

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