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Advances in Doublet Mechanics

  • Book
  • © 1997

Overview

Editors:
  1. Mauro Ferrari

    1. Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, USA

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  2. Vladimir T. Granik

    1. Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, USA

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  3. Ali Imam

    1. Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, USA

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  4. Joseph C. Nadeau

    1. Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, USA

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Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 45)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Introduction to Doublet Mechanics

    • M. Ferrari, V. T. Granik, A. Imam
    Pages 1-26

  3. Doublet Thermomechanics

    • K. Mon, M. Ferrari
    Pages 27-39

  4. Multi-component Constitutive Equations

    • K. Mon, M. Ferrari
    Pages 41-50

  5. Comparison with Other Theories

    • V. T. Granik
    Pages 51-81

  6. Multi-scale, Plane Waves

    • V. T. Granik, M. Ferrari
    Pages 83-101

  7. Reflection of Plane Waves

    • M. Zhang, M. Ferrari
    Pages 103-121

  8. Surface Waves — Difference Equations

    • V. T. Granik
    Pages 123-155

  9. Isotropic Plane Elastostatics

    • J. C. Nadeau, A. H. Nashat, M. Ferrari
    Pages 157-176

  10. Multi-scale Solutions

    • M. Ferrari, A. Imam
    Pages 177-187

  11. A New Direction: Nanotubes

    • Nasreen G. Chopra, A. Zettl
    Pages 189-197

  12. Back Matter

    Pages 199-214
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Keywords

About this book

The recently proposed, fully multi-scale theory of doublet mechanics offers unprecented opportunities to reconcile the discrete and continuum representations of solids while maintaining a simple analytical format and full compatibility with lattice dynamics and continuum mechanics. In this monograph, a self-contained account of the state of the art in doublet mechanics is presented. Novel results in the elastodynamics of microstructured media are reported, including the identification of a new class of dispersive surface waves, and the presentation of methods for the experimental determination of the essential microstructural parameters. The relationships between doublet mechanics, lattice dynamics, and continuum theories are examined, leading to the identification of the subject areas in which the use of doublet mechanics is most advantageous. These areas include the analysis of domains as diverse as micro-electro-mechanical systems (MEMS), granular and particulate media, nanotubes, and peptide arrays.

Editors and Affiliations

  • Department of Civil and Environmental Engineering, University of California at Berkeley, Berkeley, USA

    Mauro Ferrari, Vladimir T. Granik, Ali Imam, Joseph C. Nadeau

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