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  • Book
  • © 2013

Foundations of Micropolar Mechanics

  • Presents the basics of micropolar continuum including short but comprehensive introduction of stress and strain measures
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

Part of the book sub series: SpringerBriefs in Continuum Mechanics (BRIEFSCONTINU)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction

    • Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach
    Pages 1-10
  3. Kinematics of Micropolar Continuum

    • Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach
    Pages 11-13
  4. Forces and Couples, Stress and Couple Stress Tensors in Micropolar Continua

    • Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach
    Pages 15-33
  5. Constitutive Equations

    • Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach
    Pages 35-70
  6. Strong Ellipticity and Acceleration Waves in Micropolar Continuum

    • Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach
    Pages 71-81
  7. Back Matter

    Pages 83-142

About this book

The book presents foundations of the micropolar continuum mechanics including a short but comprehensive introduction of stress and strain measures, derivation of motion equations and discussion of the difference between Cosserat and classical (Cauchy) continua, and the discussion of more specific problems related to the  constitutive modeling, i.e. constitutive inequalities, symmetry groups, acceleration waves, etc.

Reviews

From the reviews:

“This book is devoted to the mechanics of micropolar continua or, with other words, to the mechanics of Cosserat continua. … The book updates already published books by using some recent results. … The book could be useful to specialists working in the field of Cosserat continua or other generalized continua.” (M. Marin, Zentralblatt MATH, Vol. 1257, 2013)

Authors and Affiliations

  • Halle-Wittenberg, Martin-Luther-Universität, Halle, Germany

    Victor A. Eremeyev

  • Universidad Nacional de Colombia, Bogotá, Colombia

    Leonid P Lebedev

  • Halle-Wittenberg, Zentrum für Ingenieurwissenschaften, Martin-Luther-Universität, Halle (Saale), Germany

    Holm Altenbach

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access